diff --git a/Abstract/abstract.tex b/Abstract/abstract.tex index cf00e15..2a9e001 100644 --- a/Abstract/abstract.tex +++ b/Abstract/abstract.tex @@ -1,5 +1,6 @@ % ************************** Thesis Abstract ***************************** % Use `abstract' as an option in the document class to print only the titlepage and the abstract. + \begin{abstract} Trapping ultracold atoms in optical lattices enabled the study of strongly correlated phenomena in an environment that is far more diff --git a/Acknowledgement/acknowledgement.tex b/Acknowledgement/acknowledgement.tex index 741fceb..320faa6 100644 --- a/Acknowledgement/acknowledgement.tex +++ b/Acknowledgement/acknowledgement.tex @@ -2,8 +2,33 @@ \begin{acknowledgements} +First and foremost, I would like to thank my supervisor Dr. Igor +Mekhov who has been an excellent mentor throughout my time at +Oxford. It is primarily thanks to his brilliant insights and +professionalism that I was able to reach my full potential during my +doctoral studies. The work contained in this thesis would also not be +possible without the help of the other members of the group, Gabriel +Mazzucchi and Dr. Santiago Caballero-Benitez. Without our frequent +casual discussions in the Old Library office I would have still been +stuck on the third chapter. I would also like to acknowledge all +members of Prof. Dieter Jaksch's and Prof. Christopher Foot's groups +for various helpful discussions. I must also offer a special mention +for Edward Owen who provided much needed reality checks on some of my +wishful theoretical thinking. I would also like to express my +gratitude to EPSRC, St. Catherine's College, the ALP sub-department, +and the Institute of Physics for providing me with the financial means +to live and study in Oxford as well as attend several conferences in +the UK and abroad. -\mynote{Write my own acknowledgements} +On a personal note, I would like to thank my parents who provided me +with all the skills necessary work towards any goals I set +myself. Needless to say, without them I would have never been able to +be where I am right now. I would like to thank all the new and old +friends that have kept me company for the last four years. The time +spent together provided a welcome respite from the sweat and toil of +my DPhil. +\vspace{2em} +\raggedleft{Oxford, September 2016} \end{acknowledgements} diff --git a/Chapter1/chapter1.tex b/Chapter1/chapter1.tex index b3ef6f9..8b53e8e 100644 --- a/Chapter1/chapter1.tex +++ b/Chapter1/chapter1.tex @@ -83,9 +83,9 @@ imprinted in the scattered light \cite{klinder2015, landig2016}. There are three prominent directions in which the field of quantum optics of quantum gases has progressed in. First, the use of quantised light enables direct coupling to the quantum properties of the atoms -\cite{mekhov2007prl, mekhov2007pra, mekhov2012}. This allows us to -probe the many-body system in a nondestructive manner and under -certain conditions even perform quantum non-demolition (QND) +\cite{mekhov2007prl, mekhov2007pra, mekhov2007NP, mekhov2012}. This +allows us to probe the many-body system in a nondestructive manner and +under certain conditions even perform quantum non-demolition (QND) measurements. QND measurements were originally developed in the context of quantum optics as a tool to measure a quantum system without significantly disturbing it \cite{braginsky1977, unruh1978, @@ -200,7 +200,7 @@ measurement backaction. Whilst such interference measurements have been previously proposed for BECs in double-wells \cite{cirac1996, castin1997, ruostekoski1997}, the extension to a lattice system is not straightforward. However, we will show it is possible to achieve -with our propsed setup by a careful optical arrangement. Within this +with our proposed setup by a careful optical arrangement. Within this context we demonstrate a novel type of projection which occurs even when there is significant competition with the Hamiltonian dynamics. This projection is fundamentally different to the standard @@ -215,5 +215,58 @@ Hamiltonian in a way that depends on the state of the atoms that scatterd the light. This can lead to new quantum phases due to new types of long-range interactions being mediated by the global quantum optical fields \cite{caballero2015, caballero2015njp, caballero2016, - caballero2016a}. However, this aspect of quantum optics of quantum -gases is beyond the scope of this thesis. + caballero2016a, elliott2016}. However, this aspect of quantum optics +of quantum gases is beyond the scope of this thesis. + +\newpage + +\section*{Publication List} + +The work contained in this thesis is based on seven publications +\cite{kozlowski2015, elliott2015, atoms2015, mazzucchi2016, + kozlowski2016zeno, mazzucchi2016njp, kozlowski2016phase}: + +\begin{table}[hbtp!] + \centering + \begin{tabular}{r p{13cm}} + \toprule + \cite{kozlowski2015} & W. Kozlowski, S. F. Caballero-Benitez, and + I. B. Mekhov. ``Probing matter-field and atom-number correlations + in optical lattices by global nondestructive addressing''. + \emph{Physical Review A}, 92(1):013613, 2015. \\ \\ + + \cite{elliott2015} & T. J. Elliott, W. Kozlowski, + S. F. Caballero-Benitez, and I. B. Mekhov. ``Multipartite + Entangled Spatial Modes of Ultracold Atoms Generated and + Controlled by Quantum Measurement''. \emph{Physical Review + Letters}, 114:113604, 2015. \\ \\ + + \cite{atoms2015} & T. J. Elliott, G. Mazzucchi, W. Kozlowski, + S. F. Caballero- Benitez, and I. B. Mekhov. ``Probing and + manipulating fermionic and bosonic quantum gases with quantum + light''. \emph{Atoms}, 3(3):392–406, 2015. \\ \\ + + \cite{mazzucchi2016} & G. Mazzucchi$^*$, W. Kozlowski$^*$, + S. F. Caballero-Benitez, T. J. Elliott, and + I. B. Mekhov. ``Quantum measurement-induced dynamics of many- body + ultracold bosonic and fermionic systems in optical + lattices''. \emph{Physical Review A}, 93:023632, + 2016. $^*$\emph{Equally contributing authors}. \\ \\ + + \cite{kozlowski2016zeno} & W. Kozlowski, S. F. Caballero-Benitez, + and I. B. Mekhov. ``Non- hermitian dynamics in the quantum zeno + limit''. \emph{Physical Review A}, 94:012123, 2016. \\ \\ + + \cite{mazzucchi2016njp} & G. Mazzucchi, W. Kozlowski, + S. F. Caballero-Benitez, and I. B Mekhov. ``Collective dynamics of + multimode bosonic systems induced by weak quan- tum + measurement''. \emph{New Journal of Physics}, 18(7):073017, 2016. \\ \\ + + \cite{kozlowski2016phase} & W. Kozlowski, S. F. Caballero-Benitez, + and I. B. Mekhov. ``Quantum state reduction by + matter-phase-related measurements in optical + lattices''. \emph{arXiv preprint arXiv:1605.06000}, 2016. \\ + + \bottomrule + \end{tabular} +\end{table} diff --git a/Chapter2/chapter2.tex b/Chapter2/chapter2.tex index 9c96b20..a3a8972 100644 --- a/Chapter2/chapter2.tex +++ b/Chapter2/chapter2.tex @@ -9,20 +9,24 @@ \graphicspath{{Chapter2/Figs/Raster/}{Chapter2/Figs/PDF/}{Chapter2/Figs/}} \else \graphicspath{{Chapter2/Figs/Vector/}{Chapter2/Figs/}} -\fi +\fi \section{Introduction} -In this chapter, we derive a general Hamiltonian that describes the -coupling of atoms with far-detuned optical beams -\cite{mekhov2012}. This will serve as the basis from which we explore -the system in different parameter regimes, such as nondestructive -measurement in free space or quantum measurement backaction in a -cavity. Another interesting direction for this field of research are -quantum optical lattices where the trapping potential is treated -quantum mechanically \cite{caballero2015, caballero2015njp, - caballero2016, caballero2016a}. However this is beyond the scope of -this work. +In this chapter, we present the derivation of a general Hamiltonian +that describes the coupling of atoms with far-detuned optical beams +originally presented in Ref. \cite{mekhov2012}. This will serve as the +basis from which we explore the system in different parameter regimes, +such as nondestructive measurement in free space or quantum +measurement backaction in a cavity. As this model extends the +Bose-Hubbard Hamiltonian to include the effects of interactions with +quantised light we also present a brief overview of the properties of +the Bose-Hubbard model itself and its quantum phase transiton. This is +followed by a description of the behaviour of the scattered light with +a particular focus on how to couple the optical fields to phase +observables as opposed to density observables as is typically the +case. Finally, we conclude with an overview of possible experimental +realisability. We consider $N$ two-level atoms in an optical lattice with $M$ sites. For simplicity we will restrict our attention to spinless @@ -37,7 +41,7 @@ from free particles to strongly correlated systems, to the inherent tunability of such lattices. Furthermore, this model is capable of describing a range of different experimental setups ranging from a small number of sites with a large filling factor (e.g.~BECs trapped -in a double-well potential) to a an extended multi-site lattice with a +in a double-well potential) to an extended multi-site lattice with a low filling factor (e.g.~a system with one atom per site which will exhibit the Mott insulator to superfluid quantum phase transition). @@ -262,7 +266,7 @@ hopping rate given by \begin{equation} J^\mathrm{cl}_{i,j} = \int \mathrm{d}^3 \b{r} w (\b{r} - \b{r}_i ) \left( -\frac{\b{p}^2}{2 m_a} + V_\mathrm{cl}(\b{r}) \right) w(\b{r} - - \b{r}_i), + - \b{r}_j), \end{equation} and $U_{ijkl}$ is the atomic interaction term given by \begin{equation} @@ -731,7 +735,9 @@ neglected. This is likely to be the case since the interactions will be dominated by photons scattering from the much larger coherent probe. -\section{Density and Phase Observables} +\section[Density and Phase Observables] + {Density and Phase Observables\footnote{The results of this + section were first published in Ref. \cite{kozlowski2015}}} \label{sec:B} Light scatters due to its interactions with the dipole moment of the @@ -802,6 +808,18 @@ between the light modes and the nearest neighbour Wannier overlap, $W_1(x)$. This can be achieved by concentrating the light between the sites rather than at the positions of the atoms. +\begin{figure}[hbtp!] + \centering + \includegraphics[width=0.8\linewidth]{BDiagram} + \caption[Maximising Light-Matter Coupling between Lattice + Sites]{Light field arrangements which maximise coupling, $u_1^*u_0$, + between lattice sites. The thin black line indicates the trapping + potential (not to scale). (a) Arrangement for the uniform pattern + $J_{i,i+1} = J_1$. (b) Arrangement for spatially varying pattern + $J_{i,i+1}=(-1)^m J_2$; here $u_0=1$ so it is not shown and $u_1$ + is real thus $u_1^*u_0=u_1$. \label{fig:BDiagram}} +\end{figure} + In order to calculate the $J_{i,j}$ coefficients we perform numerical calculations using realistic Wannier functions \cite{walters2013}. However, it is possible to gain some analytic @@ -835,35 +853,6 @@ $\hat{D}$ operator since it depends on the amplitude of light in between the lattice sites and not at the positions of the atoms allowing to decouple them at specific angles. -\begin{figure} - \centering - \includegraphics[width=0.8\linewidth]{BDiagram} - \caption[Maximising Light-Matter Coupling between Lattice - Sites]{Light field arrangements which maximise coupling, $u_1^*u_0$, - between lattice sites. The thin black line indicates the trapping - potential (not to scale). (a) Arrangement for the uniform pattern - $J_{i,i+1} = J_1$. (b) Arrangement for spatially varying pattern - $J_{i,i+1}=(-1)^m J_2$; here $u_0=1$ so it is not shown and $u_1$ - is real thus $u_1^*u_0=u_1$. \label{fig:BDiagram}} -\end{figure} - -\begin{figure} - \centering - \includegraphics[width=\linewidth]{WF_S} - \caption[Wannier Function Products]{The Wannier function products: - (a) $W_0(x)$ (solid line, right axis), $W_1(x)$ (dashed line, left - axis) and their (b) Fourier transforms $\mathcal{F}[W_{0,1}]$. The - Density $J_{i,i}$ and matter-interference $J_{i,i+1}$ coefficients - in diffraction maximum (c) and minimum (d) as are shown as - functions of standing wave shifts $\varphi$ or, if one were to - measure the quadrature variance $(\Delta X^F_\beta)^2$, the local - oscillator phase $\beta$. The black points indicate the positions, - where light measures matter interference $\hat{B} \ne 0$, and the - density-term is suppressed, $\hat{D} = 0$. The trapping potential - depth is approximately 5 recoil energies.} - \label{fig:WannierProducts} -\end{figure} - The simplest case is to find a diffraction maximum where $J_{i,i+1} = J^B_\mathrm{max}$, where $J^B_\mathrm{max}$ is a constant. This results in a diffraction maximum where each bond @@ -889,6 +878,23 @@ arrangement of light modes maximizes the interference signal, $\hat{B}$, by suppressing the density signal, $\hat{D}$, via interference compensating for the spreading of the Wannier functions. +\begin{figure} + \centering + \includegraphics[width=\linewidth]{WF_S} + \caption[Wannier Function Products]{The Wannier function products: + (a) $W_0(x)$ (solid line, right axis), $W_1(x)$ (dashed line, left + axis) and their (b) Fourier transforms $\mathcal{F}[W_{0,1}]$. The + Density $J_{i,i}$ and matter-interference $J_{i,i+1}$ coefficients + in diffraction maximum (c) and minimum (d) as are shown as + functions of standing wave shifts $\varphi$ or, if one were to + measure the quadrature variance $(\Delta X^F_\beta)^2$, the local + oscillator phase $\beta$. The black points indicate the positions, + where light measures matter interference $\hat{B} \ne 0$, and the + density-term is suppressed, $\hat{D} = 0$. The trapping potential + depth is approximately 5 recoil energies.} + \label{fig:WannierProducts} +\end{figure} + Another possibility is to obtain an alternating pattern similar corresponding to a diffraction minimum where each bond scatters light in anti-phase with its neighbours giving @@ -927,10 +933,13 @@ $\hat{X}^F_\beta = \hat{D} \cos(\beta) + \hat{B} \sin(\beta)$ and by varying the local oscillator phase, one can choose which conjugate operator to measure. -\section{Electric Field Stength} +\section[Electric Field Strength] + {Electric Field Strength\footnote{The derivation has not been + published before, but the final numerical results were + included in Ref. \cite{kozlowski2015}}} \label{sec:Efield} -The Electric field operator at position $\b{r}$ and at time $t$ is +The electric field operator at position $\b{r}$ and at time $t$ is usually written in terms of its positive and negative components: \begin{equation} \b{\hat{E}}(\b{r},t) = \b{\hat{E}}^{(+)}(\b{r},t) + \b{\hat{E}}^{(-)}(\b{r},t), @@ -1095,6 +1104,25 @@ Therefore, we can now express the quantity $n_{\Phi}$ as n_{\Phi} = \frac{1}{8} \left(\frac{\Omega_0}{\Delta_a}\right)^2 \frac{\Gamma}{2} N_K. \end{equation} +\begin{table} + \centering + \begin{tabular}{l c c} + \toprule + Value & Miyake \emph{et al.} & Weitenberg \emph{et al.} \\ \midrule + $\omega_a$ & \multicolumn{2}{ c }{$2 \pi \cdot 384$ THz}\\ + $\Gamma$ & \multicolumn{2}{ c }{$2 \pi \cdot 6.07$ MHz} \\ + $\Delta_a$ & $2\pi \cdot 30$ MHz & $2 \pi \cdot 85$ MHz \\ + $I$ & $4250$ Wm$^{-2}$ & N/A \\ + $\Omega_0$ & 293$\times 10^6$ s$^{-1}$ & 42.5$\times 10^6$ s$^{-1}$ \\ + $N_K$ & 10$^5$ & 147 \\ \midrule + $n_{\Phi}$ & $6 \times 10^{11}$ s$^{-1}$ & $2 \times 10^6$ s$^{-1}$ \\ + \bottomrule + \end{tabular} + \caption[Photon Scattering Rates]{Experimental parameters used in + estimating the photon scattering rates.} + \label{tab:photons} +\end{table} + Estimates of the scattering rate using real experimental parameters are given in Table \ref{tab:photons}. Rubidium atom data has been taken from Ref. \cite{steck}. The two experiments were chosen as state @@ -1131,21 +1159,38 @@ $\Gamma_\mathrm{sc} = (\Gamma/2) (s_\mathrm{tot}) / (1+s_\mathrm{tot}+(2 \Delta / \Gamma)^2)$. A scattering rate of 60 kHz per atom \cite{weitenberg2011} gives $s_\mathrm{tot} = 2.5$. -\begin{table} - \centering - \begin{tabular}{l c c} - \toprule - Value & Miyake \emph{et al.} & Weitenberg \emph{et al.} \\ \midrule - $\omega_a$ & \multicolumn{2}{ c }{$2 \pi \cdot 384$ THz}\\ - $\Gamma$ & \multicolumn{2}{ c }{$2 \pi \cdot 6.07$ MHz} \\ - $\Delta_a$ & $2\pi \cdot 30$ MHz & $2 \pi \cdot 85$ MHz \\ - $I$ & $4250$ Wm$^{-2}$ & N/A \\ - $\Omega_0$ & 293$\times 10^6$ s$^{-1}$ & 42.5$\times 10^6$ s$^{-1}$ \\ - $N_K$ & 10$^5$ & 147 \\ \midrule - $n_{\Phi}$ & $6 \times 10^{11}$ s$^{-1}$ & $2 \times 10^6$ s$^{-1}$ \\ - \bottomrule - \end{tabular} - \caption[Photon Scattering Rates]{Experimental parameters used in - estimating the photon scattering rates.} - \label{tab:photons} -\end{table} +\section{Possible Experimental Issues} + +There are many possible experimental issues that we have neglected so +far in our theoretical treatment which need to be answered in order to +consider the experimental feasability of our proposal. The two main +concerns are photodetector efficiency and heating losses. + +In our theoretical models we treat the detectors as if they were +capable of detecting every scattered photon, but real photodetectors +can have efficiencies as low as 5\%. For the case of nondestructive +measurement as covered in Chapter \ref{chap:qnd} this is not an issue +provided a sufficient number of photons can be collected to calculate +reliable expectation values. The case of scattering into a cavity and +the effect of efficiency on the conditioned state was addressed in +Ref. \cite{mazzucchi2016njp} where it was shown that detector +efficiencies as low as 1\% are still capable of resolving the dynamics +to a good degree of accuracy and 10\% was sufficient for near unit +fidelity. However, this incredible result requires that the photon +scattering pattern is periodic in some way, e.g.~oscillatory as was +the case in Ref. \cite{mazzucchi2016njp} or constant. This way it is +only necessary to detect a sufficient number of photons to deduce the +correct phase of the oscillations or the rate for the case of a +constant scattering rate. In this thesis we deal predominantly with +these two cases so photodetector efficiency is not an issue. + +The other issue is the heating of the trapped gas which will limit the +lifetime of the experiment. For free space scattering imaging times of +several hundred milliseconds have been achieved by for example using +molasses beams that simultaneously cool and trap the atoms +\cite{weitenberg2011, weitenbergThesis}. Similar feats have been +achieved with atoms coupled to a leaky cavity where interogation times +of 0.8s have been achieved in Ref. \cite{brennecke2013}. Crucially, +the cavity in said experiment has a decay rate of the order of MHz +which is necessary to observe measurement backaction which we will +consider in the subsequent chapters. diff --git a/Chapter3/chapter3.tex b/Chapter3/chapter3.tex index b779af5..848f7be 100644 --- a/Chapter3/chapter3.tex +++ b/Chapter3/chapter3.tex @@ -2,8 +2,10 @@ %*********************************** Third Chapter ***************************** %******************************************************************************* -\chapter{Probing Correlations by Global -Nondestructive Addressing} %Title of the Third Chapter +\chapter[Probing Correlations by Global + Nondestructive Addressing] {Probing Correlations by Global + Nondestructive Addressing\footnote{The results of this chapter were + first published in Ref. \cite{kozlowski2015}}} \label{chap:qnd} \ifpdf @@ -230,7 +232,7 @@ fluctuations entirely leading to absolutely no ``quantum addition''. \begin{figure} \centering - \includegraphics[width=\linewidth]{Ep1} + \includegraphics[width=0.8\linewidth]{Ep1} \caption[Light Scattering Angular Distribution]{Light intensity scattered into a standing wave mode from a superfluid in a 3D lattice (units of $R/(|C|^2N_K)$). Arrows denote incoming diff --git a/Chapter4/chapter4.tex b/Chapter4/chapter4.tex index 40a1cd0..4da4666 100644 --- a/Chapter4/chapter4.tex +++ b/Chapter4/chapter4.tex @@ -421,7 +421,10 @@ generalise the above result to larger Hilbert spaces with multiple degenerate subspaces which are of much greater interest as they reveal nontrivial dynamics in the system. -\section{Global Measurement and ``Which-Way'' Information} +\section[Global Measurement and ``Which-Way'' Information] + {Global Measurement and ``Which-Way'' Information\footnote{The + results of this section were first published in + Ref. \cite{elliott2015}}} \label{sec:modes} We have already mentioned that one of the key features of our model is diff --git a/Chapter5/chapter5.tex b/Chapter5/chapter5.tex index eb7bb77..389c98d 100644 --- a/Chapter5/chapter5.tex +++ b/Chapter5/chapter5.tex @@ -2,7 +2,11 @@ %*********************************** Fifth Chapter ***************************** %******************************************************************************* -\chapter{Density Measurement Induced Dynamics} +\chapter[Density Measurement Induced Dynamics] + {Density Measurement Induced Dynamics\footnote{The results of + this chapter were first published in + Refs. \cite{mazzucchi2016, kozlowski2016zeno, + mazzucchi2016njp}}} % Title of the Fifth Chapter \ifpdf @@ -290,6 +294,8 @@ jump. Expanding around the peak of the Gaussian ansatz we get Multiplying the wavefunction in Eq. \eqref{eq:ansatz} with the jump operator above yields a Gaussian wavefunction as well, but the parameters change discontinuously according to +\begingroup +\allowdisplaybreaks \begin{align} \label{eq:jumpb2} b^2 & \rightarrow \frac{ b^2 (1 + z_0)^2 } { (1 + z_0)^2 + b^2 }, \\ @@ -299,6 +305,7 @@ parameters change discontinuously according to z_\phi & \rightarrow z_\phi, \\ \epsilon & \rightarrow \epsilon. \end{align} +\endgroup The fact that the wavefunction remains Gaussian after a photodetection is a huge advantage, because it means that the combined time evolution of the system can be described with a single Gaussian ansatz in @@ -527,15 +534,15 @@ yields \end{equation} where the approximation on the right-hand side follows from the fact that $\omega \approx 2$ since we are considering the $N \gg 1$ limit, -and because we are considering the weak measurement limit -$\Gamma^2 / \omega^4 \ll 1$. $b^2_\mathrm{SF} = 2h$ denotes the width -of the initial superfluid state. This result is interesting, because -it shows that the width of the Gaussian distribution is squeezed as -compared with its initial state which is exactly what we see in +and because we are considering the weak measurement limit $\Gamma^2 / +\omega^4 \ll 1$. $b^2_\mathrm{SF} = 2h$ denotes the width of the +initial superfluid state. This result is interesting, because it shows +that the width of the Gaussian distribution is squeezed as compared +with its initial state which is exactly what we see in Fig. \ref{fig:oscillations}(a). However, if we substitute the parameter values used in that trajectory we only get a reduction in -width by about $3\%$, but the maximum amplitude oscillations in look -like they have a significantly smaller width than the initial +width by about $3\%$, but the maximum amplitude oscillations look like +they have a significantly smaller width than the initial distribution. This discrepancy is due to the fact that the continuous variable approximation is only valid for $z \ll 1$ and thus it cannot explain the final behaviour of the system. Furthermore, it has been @@ -1648,14 +1655,12 @@ eigenstate of $\c$ and we combine this with the requirement for it to be in the dark state of the tunnelling operator (eigenstate of $\H_0$ for $U = 0$) to derive the steady state. These two conditions in momentum space are -\begin{equation} +\begin{align} \hat{T} | \Psi \rangle = \sum_{\text{RBZ}} \left[ \bd_k b_k - - \bd_{q} b_{q} \right] \cos(ka) |\Psi \rangle = 0, -\end{equation} -\begin{equation} + \bd_{q} b_{q} \right] \cos(ka) |\Psi \rangle = 0, \\ \Delta \N |\Psi \rangle = \sum_{\text{RBZ}} \left[ \bd_k b_{-q} + \bd_{-q} b_k \right] | \Psi \rangle= \Delta N |\Psi \rangle, -\end{equation} +\end{align} where $b_k = \frac{1}{\sqrt{M}} \sum_j e^{i k j a} b_j$, $\Delta \hat{N} = \hat{D} - N/2$, $q = \pi/a - k$, $a$ is the lattice spacing, $N$ the total atom number, and we perform summations over the @@ -1738,10 +1743,11 @@ discussed. To obtain a state with a specific value of $\Delta N$ postselection may be necessary, but otherwise it is not needed. The process can be optimised by feedback control since the state is monitored at all -times \cite{ivanov2014}. Furthermore, the form of the measurement -operator is very flexible and it can easily be engineered by the -geometry of the optical setup \cite{elliott2015, mazzucchi2016} which -can be used to design a state with desired properties. +times \cite{ivanov2014, mazzucchi2016feedback}. Furthermore, the form +of the measurement operator is very flexible and it can easily be +engineered by the geometry of the optical setup \cite{elliott2015, + mazzucchi2016} which can be used to design a state with desired +properties. \section{Conclusions} diff --git a/Chapter6/chapter6.tex b/Chapter6/chapter6.tex index 6e00894..85428eb 100644 --- a/Chapter6/chapter6.tex +++ b/Chapter6/chapter6.tex @@ -2,7 +2,10 @@ %*********************************** Sixth Chapter ***************************** %******************************************************************************* -\chapter{Phase Measurement Induced Dynamics} +\chapter[Phase Measurement Induced Dynamics] + {Phase Measurement Induced Dynamics\footnote{The results of + this chapter were first published in + Ref. \cite{kozlowski2016phase}}} % Title of the Sixth Chapter \ifpdf @@ -25,7 +28,7 @@ operators just like most of the existing work \cite{LP2009, rogers2014, section \ref{sec:B} that it is possible to couple to the the relative phase differences between sites in an optical lattice by illuminating the bonds between them. Furthermore, we have also shown how it can be -applied to probe the Bose Hubbard order parameter or even matter-field +applied to probe the Bose-Hubbard order parameter or even matter-field quadratures in Chapter \ref{chap:qnd}. This concept has also been applied to the study of quantum optical potentials formed in a cavity and shown to lead to a host of interesting quantum phase diagrams diff --git a/Dedication/dedication.tex b/Dedication/dedication.tex index 7ec8a73..4ca8430 100644 --- a/Dedication/dedication.tex +++ b/Dedication/dedication.tex @@ -2,7 +2,11 @@ \begin{dedication} -\mynote{Write my own dedication.} +\emph{Moim rodzicom, bez których nie byłbym w stanie osiągnąć tego + wszystkiego.} +\emph{To my parents without whom I would not have been able to achieve + any of this.} + \end{dedication} diff --git a/Preamble/preamble.tex b/Preamble/preamble.tex index 8534017..7c847f2 100644 --- a/Preamble/preamble.tex +++ b/Preamble/preamble.tex @@ -221,3 +221,5 @@ \newcommand{\Bmax}{\hat{B}_\mathrm{max}} \newcommand{\Bmin}{\hat{B}_\mathrm{min}} \newcommand{\D}{\hat{D}} + +\usepackage[utf8]{inputenc} diff --git a/References/references.bib b/References/references.bib index c8de422..559b98c 100644 --- a/References/references.bib +++ b/References/references.bib @@ -6,7 +6,7 @@ title={An open systems approach to quantum optics: lectures presented at the Universit{\'e} Libre de Bruxelles, October 28 to November 4, 1991}, - author={Carmichael, Howard}, + author={Carmichael, H.}, volume={18}, year={2009}, publisher={Springer Science \& Business Media} @@ -26,20 +26,20 @@ @phdthesis{weitenbergThesis, title={Single-atom resolved imaging and manipulation in an atomic Mott insulator}, - author={Weitenberg, Christof}, + author={Weitenberg, C.}, year={2011}, school={LMU} } @phdthesis{StephenThesis, title={Strongly correlated one-dimensional systems of cold atoms in optical lattices }, - author={Clark, Stephen Richard James Franz}, + author={Clark, S. R. J. F.}, year={2007}, school={University of Oxford} } @misc{steck, title={Rubidium 87 D line data}, - author={Steck, Daniel A}, + author={Steck, D. A.}, year={2001} } @inbook{Scully, @@ -54,7 +54,7 @@ howpublished="\url{http://ccpforge.cse.rl.ac.uk/gf/project/tntlibrary/}" } @book{MeasurementControl, -author = {Wiseman, Howard M. and Milburn, Gerard J.}, +author = {Wiseman, H. M. and Milburn, G. J.}, title = {{Quantum Measurement and Control}}, publisher = {Cambridge University Press}, year = {2010} @@ -63,26 +63,26 @@ year = {2010} title={Quantum noise: a handbook of Markovian and non-Markovian quantum stochastic methods with applications to quantum optics}, - author={Gardiner, Crispin and Zoller, Peter}, + author={Gardiner, C. and Zoller, P.}, volume={56}, year={2004}, publisher={Springer Science \& Business Media} } @book{auerbach, title={Interacting electrons and quantum magnetism}, - author={Auerbach, Assa}, + author={Auerbach, A.}, year={2012}, publisher={Springer Science \& Business Media} } @book{leggett, title={Quantum liquids: Bose condensation and Cooper pairing in condensed-matter systems}, - author={Leggett, Anthony J}, + author={Leggett, A. J.}, year={2006}, publisher={Oxford University Press} } @book{PitaevskiiStringari, title={Bose-Einstein Condensation and Superfluidity}, - author={Pitaevskii, Lev and Stringari, Sandro}, + author={Pitaevskii, L. and Stringari, S.}, volume={164}, year={2016}, publisher={Oxford University Press} @@ -95,18 +95,28 @@ year = {2010} @article{mekhov2007prl, title={Cavity-enhanced light scattering in optical lattices to probe atomic quantum statistics}, - author={Mekhov, Igor B and Maschler, Christoph and Ritsch, Helmut}, - journal={Physical review letters}, + author={Mekhov, I. B. and Maschler, C. and Ritsch, H.}, + journal={Physical Review Letters}, volume={98}, number={10}, pages={100402}, year={2007}, publisher={APS} } +@article{mekhov2007NP, + title={Probing quantum phases of ultracold atoms in optical lattices by transmission spectra in cavity quantum electrodynamics}, + author={Mekhov, Igor B and Maschler, Christoph and Ritsch, Helmut}, + journal={Nature Physics}, + volume={3}, + number={5}, + pages={319--323}, + year={2007}, + publisher={Nature Publishing Group} +} @article{mekhov2007pra, title={Light scattering from ultracold atoms in optical lattices as an optical probe of quantum statistics}, - author={Mekhov, Igor B and Maschler, Christoph and Ritsch, Helmut}, + author={Mekhov, I. B. and Maschler, C. and Ritsch, H.}, journal={Physical Review A}, volume={76}, number={5}, @@ -118,16 +128,14 @@ year = {2010} title = {Dicke quantum phase transition with a superfluid gas in an optical cavity}, author = {Maschler, C. and Mekhov, I. B. and Ritsch, H.}, - journal = {Eur. Phys. J. D}, + journal = {The European Physical Journal D}, volume = {146}, pages = {545}, year = {2008}, } @article{mekhov2009prl, - author = {Mekhov, Igor B and Ritsch, Helmut}, - doi = {10.1103/PhysRevLett.102.020403}, - journal = {Phys. Rev. Lett.}, - month = jan, + author = {Mekhov, I. B. and Ritsch, H.}, + journal = {Physical Review Letters}, number = {2}, pages = {020403}, title = {{Quantum Nondemolition Measurements and State Preparation @@ -135,11 +143,19 @@ year = {2010} volume = {102}, year = {2009} } +@article{LP2009, + title={Quantum optics with quantum gases}, + author={Mekhov, I. B. and Ritsch, H.}, + journal={Laser Physics}, + volume={19}, + number={4}, + pages={610--615}, + year={2009}, + publisher={Springer} +} @article{mekhov2009pra, - author = {Mekhov, Igor B and Ritsch, Helmut}, - doi = {10.1103/PhysRevA.80.013604}, - journal = {Phys. Rev. A}, - month = jul, + author = {Mekhov, I. B. and Ritsch, H.}, + journal = {Physical Review A}, number = {1}, pages = {013604}, title = {{Quantum optics with quantum gases: Controlled state @@ -147,20 +163,9 @@ year = {2010} volume = {80}, year = {2009} } -@article{LP2009, - title={Quantum optics with quantum gases}, - author={Mekhov, Igor B and Ritsch, Helmut}, - journal={Laser physics}, - volume={19}, - number={4}, - pages={610--615}, - year={2009}, - publisher={Springer} -} @article{LP2010, - author = {Mekhov, Igor B and Ritsch, Helmut}, - doi = {10.1134/S1054660X10050105}, - journal = {Laser Phys.}, + author = {Mekhov, I. B. and Ritsch, H.}, + journal = {Laser Physics}, volume = {20}, pages = {694}, title = {Quantum Optical Measurements in Ultracold Gases: @@ -168,9 +173,8 @@ year = {2010} year = {2010} } @article{LP2011, - author = {Mekhov, Igor B and Ritsch, Helmut}, - doi = {10.1134/S1054660X11150163}, - journal = {Laser Phys.}, + author = {Mekhov, I. B. and Ritsch, H.}, + journal = {Laser Physics}, volume = {21}, pages = {1486}, title = {Atom State Evolution and Collapse in Ultracold Gases during @@ -178,10 +182,10 @@ year = {2010} year = {2011} } @article{LP2013, - author={Igor B Mekhov}, + author={Mekhov, I. B.}, title={Quantum non-demolition detection of polar molecule complexes: dimers, trimers, tetramers}, - journal={Laser Phys.}, + journal={Laser Physics}, volume={23}, number={1}, pages={015501}, @@ -190,7 +194,7 @@ year = {2010} @article{mekhov2012, title={Quantum optics with ultracold quantum gases: towards the full quantum regime of the light--matter interaction}, - author={Mekhov, Igor B and Ritsch, Helmut}, + author={Mekhov, I. B. and Ritsch, H.}, journal={Journal of Physics B: Atomic, Molecular and Optical Physics}, volume={45}, @@ -204,23 +208,57 @@ year = {2010} %% Group papers %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +@article{kozlowski2015, + title={Probing matter-field and atom-number correlations in optical lattices by global nondestructive addressing}, + author={Kozlowski, W. and Caballero-Benitez, S. F. and Mekhov, I. B.}, + journal={Physical Review A}, + volume={92}, + number={1}, + pages={013613}, + year={2015}, + publisher={APS} +} @article{elliott2015, author = {Elliott, T. J. and Kozlowski, W. and Caballero-Benitez, S. F. and Mekhov, I. B.}, - doi = {10.1103/PhysRevLett.114.113604}, - journal = {Phys. Rev. Lett.}, + journal = {Physical Review Letters}, pages = {113604}, title = {{Multipartite Entangled Spatial Modes of Ultracold Atoms Generated and Controlled by Quantum Measurement}}, volume = {114}, year = {2015} } +@article{mazzucchi2016, + title = {Quantum measurement-induced dynamics of many-body ultracold + bosonic and fermionic systems in optical lattices}, + author = {Mazzucchi, G. and Kozlowski, W. and + Caballero-Benitez, S. F. and Elliott, T. + J. and Mekhov, I. B.}, + journal = {Physical Review A}, + volume = {93}, + issue = {2}, + pages = {023632}, + numpages = {12}, + year = {2016}, + publisher = {American Physical Society} +} +@article{caballero2015, + title={Quantum optical lattices for emergent many-body phases of + ultracold atoms}, + author={Caballero-Benitez, S. F. and Mekhov, I. B.}, + journal={Physical Review Letters}, + volume={115}, + number={24}, + pages={243604}, + year={2015}, + publisher={APS} +} @article{atoms2015, title={Probing and Manipulating Fermionic and Bosonic Quantum Gases with Quantum Light}, - author={Elliott, Thomas J and Mazzucchi, Gabriel and Kozlowski, - Wojciech and Caballero-Benitez, Santiago F and - Mekhov, Igor B}, + author={Elliott, T. J. and Mazzucchi, G. and Kozlowski, + W. and Caballero-Benitez, S. F. and + Mekhov, I. B.}, journal={Atoms}, volume={3}, number={3}, @@ -228,22 +266,11 @@ year = {2010} year={2015}, publisher={Multidisciplinary Digital Publishing Institute} } -@article{caballero2015, - title={Quantum optical lattices for emergent many-body phases of - ultracold atoms}, - author={Caballero-Benitez, Santiago F and Mekhov, Igor B}, - journal={Physical review letters}, - volume={115}, - number={24}, - pages={243604}, - year={2015}, - publisher={APS} -} @article{caballero2015njp, title={Quantum properties of light scattered from structured many-body phases of ultracold atoms in quantum optical lattices}, - author={Caballero-Benitez, Santiago F and Mekhov, Igor B}, + author={Caballero-Benitez, S. F. and Mekhov, I. B.}, journal={New Journal of Physics}, volume={17}, number={12}, @@ -251,69 +278,79 @@ year = {2010} year={2015}, publisher={IOP Publishing} } -@article{caballero2016, - title = {Quantum simulators based on the global collective - light-matter interaction}, - author = {Caballero-Benitez, Santiago F. and Mazzucchi, Gabriel and - Mekhov, Igor B.}, - journal = {Phys. Rev. A}, - volume = {93}, - issue = {6}, - pages = {063632}, - numpages = {22}, - year = {2016}, - month = {Jun}, - publisher = {American Physical Society}, - doi = {10.1103/PhysRevA.93.063632}, - url = {http://link.aps.org/doi/10.1103/PhysRevA.93.063632} -} -@article{caballero2016a, - title={Bond Order via Light-Induced Synthetic Many-body Interactions - of Ultracold Atoms in Optical Lattices}, - author={Caballero-Benitez, Santiago F and Mekhov, Igor B}, - journal={arXiv preprint arXiv:1604.02563}, - year={2016} -} -@article{mazzucchi2016, - title = {Quantum measurement-induced dynamics of many-body ultracold - bosonic and fermionic systems in optical lattices}, - author = {Mazzucchi, Gabriel and Kozlowski, Wojciech and - Caballero-Benitez, Santiago F. and Elliott, Thomas - J. and Mekhov, Igor B.}, - journal = {Physical Review A}, - volume = {93}, - issue = {2}, - pages = {023632}, - numpages = {12}, - year = {2016}, - month = {Feb}, - publisher = {American Physical Society} -} @article{kozlowski2016zeno, - title={Non-hermitian dynamics in the quantum zeno limit}, - author={Kozlowski, Wojciech and Caballero-Benitez, Santiago F and Mekhov, Igor B}, - journal={arXiv preprint arXiv:1510.04857}, - year={2015} + title = {Non-Hermitian dynamics in the quantum Zeno limit}, + author = {Kozlowski, W. and Caballero-Benitez, S. F. and Mekhov, I. B.}, + journal = {Physical Review A}, + volume = {94}, + issue = {1}, + pages = {012123}, + numpages = {8}, + year = {2016}, } @article{mazzucchi2016af, title={Quantum measurement-induced antiferromagnetic order and density modulations in ultracold Fermi gases in optical lattices}, - author={Mazzucchi, Gabriel and Caballero-Benitez, Santiago F and - Mekhov, Igor B}, - journal={arXiv preprint arXiv:1510.04883}, - year={2015} + author={Mazzucchi, G. and Caballero-Benitez, S. F. and + Mekhov, I. B.}, + journal={Scientific Reports}, + volume={6}, + pages={31196}, + year={2016} +} +@article{elliott2016, + title = {Engineering many-body dynamics with quantum light potentials and measurements}, + author = {Elliott, T. J. and Mekhov, I. B.}, + journal = {Phys. Rev. A}, + volume = {94}, + issue = {1}, + pages = {013614}, + numpages = {12}, + year = {2016}, + publisher = {American Physical Society}, +} +@article{caballero2016, + title = {Quantum simulators based on the global collective + light-matter interaction}, + author = {Caballero-Benitez, S. F. and Mazzucchi, G. and + Mekhov, I. B.}, + journal = {Physical Review A}, + volume = {93}, + issue = {6}, + pages = {063632}, + numpages = {22}, + year = {2016}, + publisher = {American Physical Society}, } @article{mazzucchi2016njp, - author={Gabriel Mazzucchi and Wojciech Kozlowski and Santiago F - Caballero-Benitez and Igor B Mekhov}, + author={Mazzucchi, G. and Kozlowski, W. and + Caballero-Benitez, S. F. and Mekhov, I. B.}, title={Collective dynamics of multimode bosonic systems induced by weak quantum measurement}, journal={New Journal of Physics}, volume={18}, number={7}, pages={073017}, - url={http://stacks.iop.org/1367-2630/18/i=7/a=073017}, + year={2016} +} +@article{caballero2016a, + title={Bond Order via Light-Induced Synthetic Many-body Interactions + of Ultracold Atoms in Optical Lattices}, + author={Caballero-Benitez, S. F. and Mekhov, I. B.}, + journal={arXiv preprint arXiv:1604.02563}, + year={2016} +} +@article{kozlowski2016phase, + title={Quantum State Reduction by Matter-Phase-Related Measurements in Optical Lattices}, + author={Kozlowski, W. and Caballero-Benitez, S. F. and Mekhov, I. B.}, + journal={arXiv preprint arXiv:1605.06000}, + year={2016} +} +@article{mazzucchi2016feedback, + title={Quantum optical feedback control for creating strong correlations in many-body systems}, + author={Mazzucchi, G. and Caballero-Benitez, S. F. and Ivanov, D. A. and Mekhov, I. B.}, + journal={arXiv preprint arXiv:1606.06022}, year={2016} } @@ -323,7 +360,7 @@ year = {2010} @article{zurek2002, title={Decoherence and the transition from quantum to classical-revisited}, - author={Zurek, Wojciech H}, + author={Zurek, W. H.}, journal={Los Alamos Science}, volume={27}, pages={86--109}, @@ -335,12 +372,10 @@ title = {Ab initio derivation of Hubbard models for cold atoms in optical lattices}, author = {Walters, R. and Cotugno, G. and Johnson, T. H. and Clark, S. R. and Jaksch, D.}, -journal = {Phys. Rev. A}, +journal = {Physical Review A}, volume = {87}, pages = {043613}, year = {2013}, -month = {Apr}, -doi = {10.1103/PhysRevA.87.043613}, } @article{bloch2011, title = {Single-spin addressing in an atomic Mott insulator}, @@ -351,7 +386,6 @@ doi = {10.1103/PhysRevA.87.043613}, volume = {471}, pages = {319--324}, year = {2011}, - doi = {10.1038/nature09827}, } @article{greiner2009, title = {A quantum gas microscope for detecting single atoms in a @@ -362,13 +396,12 @@ doi = {10.1103/PhysRevA.87.043613}, volume = {462}, pages = {74--77}, year = {2009}, - doi = {10.1038/nature08482}, } @article{cirac1996, title={Continuous observation of interference fringes from Bose condensates}, - author={Cirac, J I and Gardiner, C W and Naraschewski, M and Zoller, - P}, + author={Cirac, J. I. and Gardiner, C. W. and Naraschewski, M. and Zoller, + P.}, journal={Physical Review A}, volume={54}, number={5}, @@ -378,7 +411,7 @@ doi = {10.1103/PhysRevA.87.043613}, } @article{castin1997, title={Relative phase of two Bose-Einstein condensates}, - author={Castin, Yvan and Dalibard, Jean}, + author={Castin, Y. and Dalibard, J.}, journal={Physical Review A}, volume={55}, number={6}, @@ -389,7 +422,7 @@ doi = {10.1103/PhysRevA.87.043613}, @article{ruostekoski1997, title={Nondestructive optical measurement of relative phase between two Bose-Einstein condensates}, - author={Ruostekoski, Janne and Walls, Dan F}, + author={Ruostekoski, J. and Walls, D. F.}, journal={Physical Review A}, volume={56}, number={4}, @@ -399,8 +432,8 @@ doi = {10.1103/PhysRevA.87.043613}, } @article{ruostekoski1998, title={Macroscopic superpositions of Bose-Einstein condensates}, - author={Ruostekoski, Janne and Collett, M J and Graham, Robert and - Walls, Dan F}, + author={Ruostekoski, J. and Collett, M. J. and Graham, R. and + Walls, D. F.}, journal={Physical Review A}, volume={57}, number={1}, @@ -411,8 +444,8 @@ doi = {10.1103/PhysRevA.87.043613}, @article{ashida2015, title={Diffraction-Unlimited Position Measurement of Ultracold Atoms in an Optical Lattice}, - author={Ashida, Yuto and Ueda, Masahito}, - journal={Physical review letters}, + author={Ashida, Y. and Ueda, M.}, + journal={Physical Review Letters}, volume={115}, number={9}, pages={095301}, @@ -422,15 +455,15 @@ doi = {10.1103/PhysRevA.87.043613}, @article{ashida2015a, title={Multi-Particle Quantum Dynamics under Continuous Observation}, - author={Ashida, Yuto and Ueda, Masahito}, + author={Ashida, Y. and Ueda, M.}, journal={arXiv preprint arXiv:1510.04001}, year={2015} } @article{rogers2014, title={Characterization of Bose-Hubbard models with quantum nondemolition measurements}, - author={Rogers, B and Paternostro, M and Sherson, J F and De Chiara, - G}, + author={Rogers, B. and Paternostro, M. and Sherson, J. F. and De Chiara, + G.}, journal={Physical Review A}, volume={90}, number={4}, @@ -440,7 +473,7 @@ doi = {10.1103/PhysRevA.87.043613}, } @article{rist2012, title={Homodyne detection of matter-wave fields}, - author={Rist, Stefan and Morigi, Giovanna}, + author={Rist, S. and Morigi, G.}, journal={Physical Review A}, volume={85}, number={5}, @@ -451,10 +484,10 @@ doi = {10.1103/PhysRevA.87.043613}, @article{weitenberg2011, title={Coherent light scattering from a two-dimensional Mott insulator}, - author={Weitenberg, Christof and Schau{\ss}, Peter and Fukuhara, - Takeshi and Cheneau, Marc and Endres, Manuel and - Bloch, Immanuel and Kuhr, Stefan}, - journal={Physical review letters}, + author={Weitenberg, C. and Schau{\ss}, P. and Fukuhara, + T. and Cheneau, M. and Endres, M. and + Bloch, I. and Kuhr, S.}, + journal={Physical Review Letters}, volume={106}, number={21}, pages={215301}, @@ -464,10 +497,10 @@ doi = {10.1103/PhysRevA.87.043613}, @article{miyake2011, title={Bragg scattering as a probe of atomic wave functions and quantum phase transitions in optical lattices}, - author={Miyake, Hirokazu and Siviloglou, Georgios A and Puentes, - Graciana and Pritchard, David E and Ketterle, - Wolfgang and Weld, David M}, - journal={Physical review letters}, + author={Miyake, H. and Siviloglou, G. A. and Puentes, + G. and Pritchard, D. E. and Ketterle, + W. and Weld, D. M.}, + journal={Physical Review Letters}, volume={107}, number={17}, pages={175302}, @@ -478,7 +511,7 @@ doi = {10.1103/PhysRevA.87.043613}, title = {Dicke quantum phase transition with a superfluid gas in an optical cavity}, author = {Eckert, K. and Romero-Isart, O. and Rodriguez, M. and Lewenstein, M. and Polzik, E. S. and Sanpera, A.}, - journal = {Nat. Phys.}, + journal = {Nature Physics}, volume = {4}, pages = {50}, year = {2008}, @@ -486,52 +519,46 @@ doi = {10.1103/PhysRevA.87.043613}, @article{larson2008, title = {Mott-Insulator States of Ultracold Atoms in Optical Resonators}, - author = {Larson, Jonas and Damski, Bogdan and Morigi, Giovanna and - Lewenstein, Maciej}, - journal = {Phys. Rev. Lett.}, + author = {Larson, J. and Damski, B. and Morigi, G. and + Lewenstein, M.}, + journal = {Physical Review Letters}, volume = {100}, issue = {5}, pages = {050401}, numpages = {4}, year = {2008}, - month = {Feb}, publisher = {American Physical Society}, - doi = {10.1103/PhysRevLett.100.050401}, } @article{chen2009, title = {Bistable Mott-insulator\char21{}to\char21{}superfluid phase transition in cavity optomechanics}, author = {Chen, W. and Zhang, K. and Goldbaum, D. S. and Bhattacharya, M. and Meystre, P.}, - journal = {Phys. Rev. A}, + journal = {Physical Review A}, volume = {80}, issue = {1}, pages = {011801}, numpages = {4}, year = {2009}, - month = {Jul}, publisher = {American Physical Society}, - doi = {10.1103/PhysRevA.80.011801}, } @article{habibian2013, title = {Bose-Glass Phases of Ultracold Atoms due to Cavity Backaction}, - author = {Habibian, Hessam and Winter, Andr\'e and Paganelli, Simone - and Rieger, Heiko and Morigi, Giovanna}, - journal = {Phys. Rev. Lett.}, + author = {Habibian, H. and Winter, A. and Paganelli, S. + and Rieger, H. and Morigi, G.}, + journal = {Physical Review Letters}, volume = {110}, issue = {7}, pages = {075304}, numpages = {5}, year = {2013}, - month = {Feb}, publisher = {American Physical Society}, - doi = {10.1103/PhysRevLett.110.075304}, } @article{ivanov2014, title={Feedback-enhanced self-organization of atoms in an optical cavity}, - author={Ivanov, DA and Ivanova, T Yu}, - journal={JETP letters}, + author={Ivanov, D. A. and Ivanova, T. Yu}, + journal={JETP Letters}, volume={100}, number={7}, pages={481--485}, @@ -539,11 +566,11 @@ doi = {10.1103/PhysRevA.87.043613}, publisher={Springer} } @article{pedersen2014, - author={Mads Kock Pedersen and Jens Jakob W H Sorensen and Malte C - Tichy and Jacob F Sherson}, + author={Pedersen, M. K. and Sorensen, J. J. W. H. and + Tichy, M. C. and Sherson, J. F.}, title={{Many-body state engineering using measurements and fixed unitary dynamics}}, - journal={New J. Phys.}, + journal={New Journal of Physics}, volume={16}, number={11}, pages={113038}, @@ -551,16 +578,14 @@ doi = {10.1103/PhysRevA.87.043613}, } @article{kolobov1999, title = {The spatial behavior of nonclassical light}, - author = {Kolobov, Mikhail I.}, - journal = {Rev. Mod. Phys.}, + author = {Kolobov, M. I.}, + journal = {Reviews of Modern Physics}, volume = {71}, issue = {5}, pages = {1539--1589}, numpages = {0}, year = {1999}, - month = {Oct}, publisher = {American Physical Society}, - doi = {10.1103/RevModPhys.71.1539}, } @article{golubev2010, title = {Entanglement measurement of the quadrature components @@ -568,92 +593,80 @@ doi = {10.1103/PhysRevA.87.043613}, multimode far field}, author = {Golubeva, T. and Golubev, Yu. and Samburskaya, K. and Fabre, C. and Treps, N. and Kolobov, M.}, - journal = {Phys. Rev. A}, + journal = {Physical Review A}, volume = {81}, issue = {1}, pages = {013831}, numpages = {8}, year = {2010}, - month = {Jan}, publisher = {American Physical Society}, - doi = {10.1103/PhysRevA.81.013831}, } @article{derrico2014, title = {Observation of a Disordered Bosonic Insulator from Weak to Strong Interactions}, - author = {D'Errico, Chiara and Lucioni, Eleonora and Tanzi, Luca and - Gori, Lorenzo and Roux, Guillaume and McCulloch, Ian - P. and Giamarchi, Thierry and Inguscio, Massimo and - Modugno, Giovanni}, - journal = {Phys. Rev. Lett.}, + author = {D'Errico, C. and Lucioni, E. and Tanzi, L. and + Gori, L. and Roux, G. and McCulloch, I. + P. and Giamarchi, T. and Inguscio, M. and + Modugno, G.}, + journal = {Physical Review Letters}, volume = {113}, issue = {9}, pages = {095301}, numpages = {5}, year = {2014}, - month = {Aug}, publisher = {American Physical Society}, - doi = {10.1103/PhysRevLett.113.095301}, } @article{rist2010, title = {Light scattering by ultracold atoms in an optical lattice}, - author = {Rist, Stefan and Menotti, Chiara and Morigi, Giovanna}, - journal = {Phys. Rev. A}, + author = {Rist, S. and Menotti, C. and Morigi, G.}, + journal = {Physical Review A}, volume = {81}, issue = {1}, pages = {013404}, numpages = {12}, year = {2010}, - month = {Jan}, publisher = {American Physical Society}, - doi = {10.1103/PhysRevA.81.013404}, } @article{lakomy2009, title = {Thermal effects in light scattering from ultracold bosons in an optical lattice}, - author = {\L{}akomy, Kazimierz and Idziaszek, Zbigniew and - Trippenbach, Marek}, - journal = {Phys. Rev. A}, + author = {\L{}akomy, K. and Idziaszek, Z. and + Trippenbach, M.}, + journal = {Physical Review A}, volume = {80}, issue = {4}, pages = {043404}, numpages = {14}, year = {2009}, - month = {Oct}, publisher = {American Physical Society}, - doi = {10.1103/PhysRevA.80.043404}, } @article{ruostekoski2009, title = {Light Scattering for Thermometry of Fermionic Atoms in an Optical Lattice}, author = {Ruostekoski, J. and Foot, C. J. and Deb, A. B.}, - journal = {Phys. Rev. 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Phys.}, + author = {Horak, P. and Barnett, S. M.}, + journal = {Journal of Physics B: Atomic, Molecular and Optical Physics}, number = {14}, pages = {3421}, volume = {32}, @@ -661,9 +674,7 @@ doi = {10.1103/PhysRevA.87.043613}, } @article{cazalilla2011, author = {Cazalilla, M. A. and Citro, R. and Giamarchi, T. and Orignac, E. and Rigol, M.}, - doi = {10.1103/RevModPhys.83.1405}, - journal = {Rev. Mod. Phys.}, - month = dec, + journal = {Reviews of Modern Physics}, number = {4}, pages = {1405--1466}, title = {{One dimensional bosons: From condensed matter systems to ultracold gases}}, @@ -671,19 +682,17 @@ doi = {10.1103/PhysRevA.87.043613}, year = {2011} } @article{ejima2011, - author={S. Ejima and H. Fehske and F. Gebhard}, + author={Ejima, S. and Fehske, H. and Gebhard, F.}, title={Dynamic properties of the one-dimensional Bose-Hubbard model}, - journal={Europhys. Lett.}, + journal={Europhysics Letters}, volume={93}, number={3}, pages={30002}, year={2011}, } @article{kuhner2000, - author = {K\"{u}hner, Till D. and White, Steven R. and Monien, H.}, - doi = {10.1103/PhysRevB.61.12474}, - journal = {Phys. Rev. B}, - month = May, + author = {K\"{u}hner, T. D. and White, S. R. and Monien, H.}, + journal = {Physical Review B}, number = {18}, pages = {12474--12489}, title = {{One-dimensional Bose-Hubbard model with nearest-neighbor interaction}}, @@ -693,22 +702,18 @@ doi = {10.1103/PhysRevA.87.043613}, @article{pino2012, title = {Reentrance and entanglement in the one-dimensional Bose-Hubbard model}, author = {Pino, M. and Prior, J. and Somoza, A. M. and Jaksch, D. and Clark, S. R.}, - journal = {Phys. Rev. A}, + journal = {Physical Review A}, volume = {86}, issue = {2}, pages = {023631}, numpages = {11}, year = {2012}, - month = {Aug}, publisher = {American Physical Society}, - doi = {10.1103/PhysRevA.86.023631}, } @article{pino2013, author = {Pino, M. and Prior, J. and Clark, S. R.}, - doi = {10.1002/pssb.201248308}, journal = {Physica Status Solidi (B)}, keywords = {bose,hubbard model,mott insulator,re-entrance,superfluid}, - month = Jan, number = {1}, pages = {51--58}, title = {{Capturing the re-entrant behavior of one-dimensional Bose-Hubbard model}}, @@ -717,25 +722,22 @@ doi = {10.1103/PhysRevA.87.043613}, } @article{roth2003, title = {Phase diagram of bosonic atoms in two-color superlattices}, - author = {Roth, Robert and Burnett, Keith}, - journal = {Phys. Rev. A}, + author = {Roth, R. and Burnett, K.}, + journal = {Physical Review A}, volume = {68}, issue = {2}, pages = {023604}, numpages = {17}, year = {2003}, - month = {Aug}, publisher = {American Physical Society}, - doi = {10.1103/PhysRevA.68.023604}, } @article{batrouni2002, archivePrefix = {arXiv}, arxivId = {cond-mat/0203082}, - author = {Batrouni, G G and Rousseau, V and Scalettar, R T and - Rigol, M and Muramatsu, A and Denteneer, P J H and - Troyer, M}, - doi = {10.1103/PhysRevLett.89.117203}, - journal = {Phys. Rev. Lett.}, + author = {Batrouni, G. G. and Rousseau, V. and Scalettar, R. T. and + Rigol, M. and Muramatsu, A. and Denteneer, P. J. H. and + Troyer, M.}, + journal = {Physical Review Letters}, pages = {117203}, pmid = {12225165}, primaryClass = {cond-mat}, @@ -746,9 +748,7 @@ doi = {10.1103/PhysRevA.87.043613}, @article{roux2008, author = {Roux, G. and Barthel, T. and McCulloch, I. P. and Kollath, C. and Schollw\"{o}ck, U. and Giamarchi, T.}, - doi = {10.1103/PhysRevA.78.023628}, - journal = {Phys. Rev. A}, - month = aug, + journal = {Physical Review A}, number = {2}, pages = {023628}, title = {{Quasiperiodic Bose-Hubbard model and localization in @@ -759,8 +759,8 @@ doi = {10.1103/PhysRevA.87.043613}, @article{vukics2007, title={Microscopic physics of quantum self-organization of optical lattices in cavities}, - author={Vukics, Andr{\'a}s and Maschler, Christoph and Ritsch, - Helmut}, + author={Vukics, A. and Maschler, C. and Ritsch, + H.}, journal={New Journal of Physics}, volume={9}, number={8}, @@ -772,8 +772,8 @@ doi = {10.1103/PhysRevA.87.043613}, title={Nonequilibrium dynamics of bosonic atoms in optical lattices: Decoherence of many-body states due to spontaneous emission}, - author={Pichler, H and Daley, A J and Zoller, P}, - journal={Phys. Rev. A}, + author={Pichler, H. and Daley, A. J. and Zoller, P.}, + journal={Physical Review A}, volume={82}, number={6}, pages={063605}, @@ -782,8 +782,8 @@ doi = {10.1103/PhysRevA.87.043613}, } @article{ates2012, title={Dissipative binding of lattice bosons through distance-selective pair loss}, - author={Ates, C and Olmos, B and Li, W and Lesanovsky, I}, - journal={Phys. Rev. Lett.}, + author={Ates, C. and Olmos, B. and Li, W. and Lesanovsky, I.}, + journal={Physical Review Letters}, volume={109}, number={23}, pages={233003}, @@ -793,8 +793,8 @@ doi = {10.1103/PhysRevA.87.043613}, @article{everest2014, title={Many-body out-of-equilibrium dynamics of hard-core lattice bosons with nonlocal loss}, - author={Everest, B and Hush, M R and Lesanovsky, I}, - journal={Phys. Rev. B}, + author={Everest, B. and Hush, M. R. and Lesanovsky, I.}, + journal={Physical Review B}, volume={90}, number={13}, pages={134306}, @@ -803,8 +803,8 @@ doi = {10.1103/PhysRevA.87.043613}, } @article{daley2014, title={Quantum trajectories and open many-body quantum systems}, - author={Daley, Andrew J}, - journal={Adv. Phys.}, + author={Daley, A. J.}, + journal={Advances in Physics}, volume={63}, number={2}, pages={77--149}, @@ -814,10 +814,10 @@ doi = {10.1103/PhysRevA.87.043613}, @article{syassen2008, title={Strong dissipation inhibits losses and induces correlations in cold molecular gases}, - author={Syassen, Niels and Bauer, Dominik M and Lettner, Matthias - and Volz, Thomas and Dietze, Daniel and - Garcia-Ripoll, Juan J and Cirac, J Ignacio and - Rempe, Gerhard and D{\"u}rr, Stephan}, + author={Syassen, N. and Bauer, D. M. and Lettner, M. + and Volz, T. and Dietze, D. and + Garcia-Ripoll, J. J. and Cirac, J. I. and + Rempe, G. and D{\"u}rr, S.}, journal={Science}, volume={320}, number={5881}, @@ -828,9 +828,9 @@ doi = {10.1103/PhysRevA.87.043613}, @article{bernier2014, title={Dissipative quantum dynamics of fermions in optical lattices: A slave-spin approach}, - author={Bernier, Jean-S{\'e}bastien and Poletti, Dario and Kollath, - Corinna}, - journal={Phys. Rev. B}, + author={Bernier, J.-S. and Poletti, D. and Kollath, + C.}, + journal={Physical Review B}, volume={90}, number={20}, pages={205125}, @@ -840,9 +840,9 @@ doi = {10.1103/PhysRevA.87.043613}, @article{vidanovic2014, title={Dissipation through localized loss in bosonic systems with long-range interactions}, - author={Vidanovi{\'c}, Ivana and Cocks, Daniel and Hofstetter, - Walter}, - journal={Phys. Rev. A}, + author={Vidanovi{\'c}, I. and Cocks, D. and Hofstetter, + W.}, + journal={Physical Review A}, volume={89}, number={5}, pages={053614}, @@ -851,8 +851,8 @@ doi = {10.1103/PhysRevA.87.043613}, } @article{kepesidis2012, title={Bose-Hubbard model with localized particle losses}, - author={Kepesidis, Kosmas V and Hartmann, Michael J}, - journal={Phys. Rev. A}, + author={Kepesidis, K. V. and Hartmann, M. J.}, + journal={Physical Review A}, volume={85}, number={6}, pages={063620}, @@ -862,9 +862,9 @@ doi = {10.1103/PhysRevA.87.043613}, @article{sarkar2014, title={Light scattering and dissipative dynamics of many fermionic atoms in an optical lattice}, - author={Sarkar, Saubhik and Langer, Stephan and Schachenmayer, - Johannes and Daley, Andrew J}, - journal={Phys. Rev. A}, + author={Sarkar, S. and Langer, S. and Schachenmayer, + J. and Daley, A. J.}, + journal={Physical Review A}, volume={90}, number={2}, pages={023618}, @@ -877,21 +877,18 @@ doi = {10.1103/PhysRevA.87.043613}, author = {Juli\'a-D\'{\i}az, B. and Zibold, T. and Oberthaler, M. K. and Mel\'e-Messeguer, M. and Martorell, J. and Polls, A.}, - journal = {Phys. Rev. A}, + journal = {Physical Review A}, volume = {86}, issue = {2}, pages = {023615}, numpages = {11}, year = {2012}, - month = {Aug}, publisher = {American Physical Society}, - doi = {10.1103/PhysRevA.86.023615}, - url = {http://link.aps.org/doi/10.1103/PhysRevA.86.023615} } @article{diehl2008, title={Quantum states and phases in driven open quantum systems with cold atoms}, - author={Diehl, Sebastian and Micheli, A and Kantian, A and Kraus, B - and B{\"u}chler, HP and Zoller, P}, + author={Diehl, S. and Micheli, A. and Kantian, A. and Kraus, B. + and B{\"u}chler, H. P. and Zoller, P.}, journal={Nature Physics}, volume={4}, number={11}, @@ -902,7 +899,7 @@ doi = {10.1103/PhysRevA.87.043613}, @article{misra1977, author = {Misra, B. and Sudarshan, E. C. G.}, title = {The Zeno’s paradox in quantum theory}, - journal = {J. Math. Phys.}, + journal = {Journal of Mathematical Physics}, year = {1977}, volume = {18}, number = {4}, @@ -910,8 +907,7 @@ doi = {10.1103/PhysRevA.87.043613}, } @article{facchi2008, author = {Facchi, P. and Pascazio, S.}, - journal = {J. Phys. A: Math. Theor.}, - month = dec, + journal = {Journal of Physics A: Mathematical and Theoretical}, number = {49}, pages = {493001}, title = {{Quantum Zeno dynamics: mathematical and physical aspects}}, @@ -920,10 +916,10 @@ doi = {10.1103/PhysRevA.87.043613}, } @article{raimond2010, title={Phase space tweezers for tailoring cavity fields by quantum Zeno dynamics}, - author={Raimond, Jean-Michel and Sayrin, Cl{\'e}ment and Gleyzes, S - and Dotsenko, Igor and Brune, Michel and Haroche, - Serge and Facchi, P and Pascazio, Saverio}, - journal={Physical review letters}, + author={Raimond, J.-M. and Sayrin, C. and Gleyzes, S. + and Dotsenko, I. and Brune, M. and Haroche, + S. and Facchi, P. and Pascazio, S.}, + journal={Physical Review Letters}, volume={105}, number={21}, pages={213601}, @@ -932,10 +928,10 @@ doi = {10.1103/PhysRevA.87.043613}, } @article{raimond2012, title={Quantum Zeno dynamics of a field in a cavity}, - author={Raimond, Jean-Michel and Facchi, Paolo and Peaudecerf, Bruno - and Pascazio, Saverio and Sayrin, Cl{\'e}ment and - Dotsenko, Igor and Gleyzes, S{\'e}bastien and Brune, - Michel and Haroche, Serge}, + author={Raimond, J.-M. and Facchi, P. and Peaudecerf, B. + and Pascazio, S. and Sayrin, C. and + Dotsenko, I. and Gleyzes, S. and Brune, + M. and Haroche, S.}, journal={Physical Review A}, volume={86}, number={3}, @@ -945,10 +941,10 @@ doi = {10.1103/PhysRevA.87.043613}, } @article{signoles2014, title={Confined quantum Zeno dynamics of a watched atomic arrow}, - author={Signoles, Adrien and Facon, Adrien and Grosso, Dorian and - Dotsenko, Igor and Haroche, Serge and Raimond, - Jean-Michel and Brune, Michel and Gleyzes, - S{\'e}bastien}, + author={Signoles, A. and Facon, A. and Grosso, D. and + Dotsenko, I. and Haroche, S. and Raimond, + J.-M. and Brune, M. and Gleyzes, + S.}, journal={Nature Physics}, volume={10}, number={10}, @@ -958,9 +954,9 @@ doi = {10.1103/PhysRevA.87.043613}, } @article{kessler2012, title={Dissipative phase transition in a central spin system}, - author={Kessler, Eric M and Giedke, Geza and Imamoglu, Atac and - Yelin, Susanne F and Lukin, Mikhail D and Cirac, J - Ignacio}, + author={Kessler, E. M. and Giedke, G. and Imamoglu, A. and + Yelin, S. F. and Lukin, M. D. and Cirac, J. + I.}, journal={Physical Review A}, volume={86}, number={1}, @@ -970,30 +966,26 @@ doi = {10.1103/PhysRevA.87.043613}, } @article{sowinski2012, title = {Dipolar Molecules in Optical Lattices}, - author = {Sowi\ifmmode \acute{n}\else \'{n}\fi{}ski, Tomasz and - Dutta, Omjyoti and Hauke, Philipp and Tagliacozzo, - Luca and Lewenstein, Maciej}, - journal = {Phys. Rev. Lett.}, + author = {Sowi\ifmmode \acute{n}\else \'{n}\fi{}ski, T. and + Dutta, O. and Hauke, P. and Tagliacozzo, + L. and Lewenstein, M.}, + journal = {Physical Review Letters}, volume = {108}, issue = {11}, pages = {115301}, numpages = {5}, year = {2012}, - month = {Mar}, publisher = {American Physical Society}, - doi = {10.1103/PhysRevLett.108.115301}, - url = {http://link.aps.org/doi/10.1103/PhysRevLett.108.115301} } @article{omjyoti2015, - author={Omjyoti Dutta and Mariusz Gajda and Philipp Hauke and Maciej - Lewenstein and Dirk-Soren Luhmann and Boris A - Malomed and Tomasz Sowinski and Jakub Zakrzewski}, + author={Dutta, O. and Gajda, M. and Hauke, P. and + Lewenstein, M. and Luhmann, D.-S. and + Malomed, B. A. and Sowinski, T. and Zakrzewski, J.}, title={Non-standard Hubbard models in optical lattices: a review}, journal={Reports on Progress in Physics}, volume={78}, number={6}, pages={066001}, - url={http://stacks.iop.org/0034-4885/78/i=6/a=066001}, year={2015} } @article{winkler2006, @@ -1021,7 +1013,7 @@ doi = {10.1103/PhysRevA.87.043613}, @article{schollwock2005, title = {The density-matrix renormalization group}, author = {Schollw\"ock, U.}, - journal = {Rev. Mod. Phys.}, + journal = {Reviews of Modern Physics}, volume = {77}, issue = {1}, pages = {259--315}, @@ -1031,38 +1023,35 @@ doi = {10.1103/PhysRevA.87.043613}, @article{otterbach2014, title = {Dissipative Preparation of Spatial Order in Rydberg-Dressed Bose-Einstein Condensates}, - author = {Otterbach, Johannes and Lemeshko, Mikhail}, - journal = {Phys. Rev. Lett.}, + author = {Otterbach, J. and Lemeshko, M.}, + journal = {Physical Review Letters}, volume = {113}, issue = {7}, pages = {070401}, numpages = {6}, year = {2014}, - month = {Aug}, publisher = {American Physical Society}, } @article{lee2014prx, title = {Heralded Magnetism in Non-Hermitian Atomic Systems}, - author = {Lee, Tony E. and Chan, Ching-Kit}, - journal = {Phys. Rev. X}, + author = {Lee, T. E. and Chan, C.-K.}, + journal = {Physical Review X}, volume = {4}, issue = {4}, pages = {041001}, numpages = {13}, year = {2014}, - month = {Oct}, publisher = {American Physical Society}, } @article{lee2014prl, title = {Entanglement and Spin Squeezing in Non-Hermitian Phase Transitions}, - author = {Lee, Tony E. and Reiter, Florentin and Moiseyev, Nimrod}, - journal = {Phys. Rev. Lett.}, + author = {Lee, T. 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S. and Burnett, K.}, journal={Journal of Physics B: Atomic, Molecular and Optical Physics}, volume={46}, number={20}, @@ -1114,7 +1101,7 @@ doi = {10.1103/PhysRevA.87.043613}, title={Classical stochastic measurement trajectories: Bosonic atomic gases in an optical cavity and quantum measurement backaction}, - author={Lee, Mark D and Ruostekoski, Janne}, + author={Lee, M. D. and Ruostekoski, J.}, journal={Physical Review A}, volume={90}, number={2}, @@ -1124,7 +1111,7 @@ doi = {10.1103/PhysRevA.87.043613}, } @article{weinberg2016, title={What happens in a measurement?}, - author={Weinberg, Steven}, + author={Weinberg, S.}, journal={Physical Review A}, volume={93}, number={3}, @@ -1134,7 +1121,7 @@ doi = {10.1103/PhysRevA.87.043613}, } @article{brune1992, title={Manipulation of photons in a cavity by dispersive atom-field coupling: Quantum-nondemolition measurements and generation of ``Schr{\"o}dinger cat'' states}, - author={Brune, M and Haroche, S and Raimond, J M and Davidovich, L and Zagury, N}, + author={Brune, M. and Haroche, S. and Raimond, J. M. and Davidovich, L. and Zagury, N.}, journal={Physical Review A}, volume={45}, number={7}, @@ -1144,7 +1131,7 @@ doi = {10.1103/PhysRevA.87.043613}, } @inproceedings{hubbard1963, title={Electron correlations in narrow energy bands}, - author={Hubbard, John}, + author={Hubbard, J.}, booktitle={Proceedings of the royal society of london a: mathematical, physical and engineering sciences}, volume={276}, @@ -1155,7 +1142,7 @@ doi = {10.1103/PhysRevA.87.043613}, } @article{jaksch1998, title={Cold bosonic atoms in optical lattices}, - author={Jaksch, Dieter and Bruder, Ch and Cirac, Juan Ignacio and Gardiner, Crispin W and Zoller, Peter}, + author={Jaksch, D. and Bruder, C. and Cirac, J. I. and Gardiner, C. W. and Zoller, P.}, journal={Physical Review Letters}, volume={81}, number={15}, @@ -1166,9 +1153,9 @@ doi = {10.1103/PhysRevA.87.043613}, @article{greiner2002, title={Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms}, - author={Greiner, Markus and Mandel, Olaf and Esslinger, Tilman and - H{\"a}nsch, Theodor W and Bloch, Immanuel}, - journal={nature}, + author={Greiner, M. and Mandel, O. and Esslinger, T. and + H{\"a}nsch, Th. W. and Bloch, I.}, + journal={Nature}, volume={415}, number={6867}, pages={39--44}, @@ -1177,7 +1164,7 @@ doi = {10.1103/PhysRevA.87.043613}, } @article{krauth1991, title={Bethe ansatz for the one-dimensional boson Hubbard model}, - author={Krauth, Werner}, + author={Krauth, W.}, journal={Physical Review B}, volume={44}, number={17}, @@ -1187,8 +1174,8 @@ doi = {10.1103/PhysRevA.87.043613}, } @article{kolovsky2004, title={Quantum chaos in the Bose-Hubbard model}, - author={Kolovsky, Andrey R and Buchleitner, Andreas}, - journal={EPL (Europhysics Letters)}, + author={Kolovsky, A. R. and Buchleitner, A.}, + journal={Europhysics Letters}, volume={68}, number={5}, pages={632}, @@ -1197,7 +1184,7 @@ doi = {10.1103/PhysRevA.87.043613}, } @article{calzetta2006, title={Bose-Einstein-condensate superfluid--Mott-insulator transition in an optical lattice}, - author={Calzetta, Esteban and Hu, Bei-Lok and Rey, Ana Maria}, + author={Calzetta, E. and Hu, B.-L. and Rey, A. M.}, journal={Physical Review A}, volume={73}, number={2}, @@ -1207,7 +1194,7 @@ doi = {10.1103/PhysRevA.87.043613}, } @article{leggett1999, title={Superfluidity}, - author={Leggett, Anthony J}, + author={Leggett, A. J.}, journal={Reviews of Modern Physics}, volume={71}, number={2}, @@ -1217,7 +1204,7 @@ doi = {10.1103/PhysRevA.87.043613}, } @article{fisher1989, title={Boson localization and the superfluid-insulator transition}, - author={Fisher, Matthew PA and Weichman, Peter B and Grinstein, G and Fisher, Daniel S}, + author={Fisher, M. P. A. and Weichman, P. B. and Grinstein, G. and Fisher, D. S.}, journal={Physical Review B}, volume={40}, number={1}, @@ -1228,7 +1215,7 @@ doi = {10.1103/PhysRevA.87.043613}, @article{haldane1981, title={Effective harmonic-fluid approach to low-energy properties of one-dimensional quantum fluids}, - author={Haldane, FDM}, + author={Haldane, F. D. 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J. and Hulet, + Randall G.}, journal={Physical Review Letters}, volume={75}, number={9}, @@ -1260,10 +1247,10 @@ doi = {10.1103/PhysRevA.87.043613}, } @article{davis1995, title={Bose-Einstein condensation in a gas of sodium atoms}, - author={Davis, Kendall B and Mewes, M-O and Andrews, Michael R and - Van Druten, NJ and Durfee, DS and Kurn, DM and - Ketterle, Wolfgang}, - journal={Physical review letters}, + author={Davis, K. B. and Mewes, M.-O. and Andrews, M. R. and + Van Druten, N. J. and Durfee, D. S. and Kurn, D. M. and + Ketterle, W.}, + journal={Physical Review Letters}, volume={75}, number={22}, pages={3969}, @@ -1272,7 +1259,7 @@ doi = {10.1103/PhysRevA.87.043613}, } @article{bloch2008, title={Many-body physics with ultracold gases}, - author={Bloch, Immanuel and Dalibard, Jean and Zwerger, Wilhelm}, + author={Bloch, I. and Dalibard, J. and Zwerger, W.}, journal={Reviews of Modern Physics}, volume={80}, number={3}, @@ -1283,8 +1270,8 @@ doi = {10.1103/PhysRevA.87.043613}, @article{lewenstein2007, title={Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond}, - author={Lewenstein, Maciej and Sanpera, Anna and Ahufinger, Veronica - and Damski, Bogdan and Sen, Aditi and Sen, Ujjwal}, + author={Lewenstein, M. and Sanpera, A. and Ahufinger, V. + and Damski, B. and Sen, A. and Sen, U.}, journal={Advances in Physics}, volume={56}, number={2}, @@ -1294,8 +1281,8 @@ doi = {10.1103/PhysRevA.87.043613}, } @article{andrews1997, title={Observation of interference between two Bose condensates}, - author={Andrews, MR and Townsend, CG and Miesner, H-J and Durfee, DS - and Kurn, DM and Ketterle, W}, + author={Andrews, M. R. and Townsend, C. G. and Miesner, H.-J. and Durfee, D. S. + and Kurn, D. M. and Ketterle, W.}, journal={Science}, volume={275}, number={5300}, @@ -1306,7 +1293,7 @@ doi = {10.1103/PhysRevA.87.043613}, @article{bloch2000, title={Measurement of the spatial coherence of a trapped Bose gas at the phase transition}, - author={Bloch, I and H{\"a}nsch, Th W and Esslinger, T}, + author={Bloch, I. and H{\"a}nsch, Th. W. and Esslinger, T.}, journal={Nature}, volume={403}, number={6766}, @@ -1316,8 +1303,8 @@ doi = {10.1103/PhysRevA.87.043613}, } @article{matthews1999, title={Vortices in a Bose-Einstein condensate}, - author={Matthews, Michael Robin and Anderson, Brian P and Haljan, PC - and Hall, DS and Wieman, CE and Cornell, EA}, + author={Matthews, M. R. and Anderson, B. P. and Haljan, P. C. + and Hall, D. S. and Wieman, C. E. and Cornell, E. A.}, journal={Physical Review Letters}, volume={83}, number={13}, @@ -1327,7 +1314,7 @@ doi = {10.1103/PhysRevA.87.043613}, } @article{madison2000, title={Vortex formation in a stirred Bose-Einstein condensate}, - author={Madison, KW and Chevy, F and Wohlleben, W and Dalibard, J}, + author={Madison, K. W. and Chevy, F. and Wohlleben, W. and Dalibard, J.}, journal={Physical Review Letters}, volume={84}, number={5}, @@ -1337,7 +1324,7 @@ doi = {10.1103/PhysRevA.87.043613}, } @article{abo2001, title={Observation of vortex lattices in Bose-Einstein condensates}, - author={Abo-Shaeer, JR and Raman, C and Vogels, JM and Ketterle, Wolfgang}, + author={Abo-Shaeer, J. R. and Raman, C. and Vogels, J. M. and Ketterle, W.}, journal={Science}, volume={292}, number={5516}, @@ -1347,7 +1334,7 @@ doi = {10.1103/PhysRevA.87.043613}, } @article{demarco1999, title={Onset of Fermi degeneracy in a trapped atomic gas}, - author={DeMarco, Brian and Jin, Deborah S}, + author={DeMarco, B. and Jin, D. S.}, journal={Science}, volume={285}, number={5434}, @@ -1357,9 +1344,9 @@ doi = {10.1103/PhysRevA.87.043613}, } @article{schreck2001, title={Quasipure Bose-Einstein condensate immersed in a Fermi sea}, - author={Schreck, F and Khaykovich, Lev and Corwin, KL and Ferrari, G - and Bourdel, Thomas and Cubizolles, Julien and - Salomon, Christophe}, + author={Schreck, F. and Khaykovich, L. and Corwin, K. L. and Ferrari, G. + and Bourdel, T. and Cubizolles, J. and + Salomon, C.}, journal={Physical Review Letters}, volume={87}, number={8}, @@ -1369,9 +1356,9 @@ doi = {10.1103/PhysRevA.87.043613}, } @article{truscott2001, title={Observation of Fermi pressure in a gas of trapped atoms}, - author={Truscott, Andrew G and Strecker, Kevin E and McAlexander, - William I and Partridge, Guthrie B and Hulet, - Randall G}, + author={Truscott, A. G. and Strecker, K. E. and McAlexander, + W. I. and Partridge, G. B. and Hulet, + R. G.}, journal={Science}, volume={291}, number={5513}, @@ -1381,7 +1368,7 @@ doi = {10.1103/PhysRevA.87.043613}, } @article{dalfovo1999, title={Theory of Bose-Einstein condensation in trapped gases}, - author={Dalfovo, Franco and Giorgini, Stefano and Pitaevskii, Lev P + author={Dalfovo, F. and Giorgini, S. and Pitaevskii, L. 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S.}, journal={Journal of Physics B: Atomic, Molecular and Optical Physics}, volume={41}, number={19}, @@ -1562,13 +1549,13 @@ doi = {10.1103/PhysRevA.87.043613}, } @article{eisert2010, title={Noise-driven quantum criticality}, - author={Eisert, J and Prosen, T}, + author={Eisert, J. and Prosen, T.}, journal={arXiv preprint arXiv:1012.5013}, year={2010} } @article{bhaseen2012, title={Dynamics of nonequilibrium Dicke models}, - author={Bhaseen, MJ and Mayoh, J and Simons, BD and Keeling, J}, + author={Bhaseen, M. J. and Mayoh, J. and Simons, B. D. and Keeling, J.}, journal={Physical Review A}, volume={85}, number={1}, @@ -1578,9 +1565,9 @@ doi = {10.1103/PhysRevA.87.043613}, } @article{diehl2010, title={Dynamical phase transitions and instabilities in open atomic many-body systems}, - author={Diehl, Sebastian and Tomadin, Andrea and Micheli, Andrea and - Fazio, Rosario and Zoller, Peter}, - journal={Physical review letters}, + author={Diehl, S. and Tomadin, A. and Micheli, A. and + Fazio, R. and Zoller, P.}, + journal={Physical Review Letters}, volume={105}, number={1}, pages={015702}, @@ -1590,7 +1577,7 @@ doi = {10.1103/PhysRevA.87.043613}, @article{vznidarivc2011, title={Solvable quantum nonequilibrium model exhibiting a phase transition and a matrix product representation}, - author={{\v{Z}}nidari{\v{c}}, Marko}, + author={{\v{Z}}nidari{\v{c}}, M.}, journal={Physical Review E}, volume={83}, number={1}, @@ -1600,27 +1587,25 @@ doi = {10.1103/PhysRevA.87.043613}, } @article{itano1990, title = {Quantum Zeno effect}, - author = {Itano, Wayne M. and Heinzen, D. J. and Bollinger, + author = {Itano, W. M. and Heinzen, D. J. and Bollinger, J. J. and Wineland, D. J.}, - journal = {Phys. Rev. A}, + journal = {Physical Review A}, volume = {41}, issue = {5}, pages = {2295--2300}, numpages = {0}, year = {1990}, - month = {Mar}, publisher = {American Physical Society}, } @article{nagels1997, title = {Quantum Zeno Effect Induced by Collisions}, author = {Nagels, B. and Hermans, L. J. F. and Chapovsky, P. L.}, - journal = {Phys. Rev. Lett.}, + journal = {Physical Review Letters}, volume = {79}, issue = {17}, pages = {3097--3100}, numpages = {0}, year = {1997}, - month = {Oct}, publisher = {American Physical Society}, } @article{kwiat1999, @@ -1628,13 +1613,12 @@ doi = {10.1103/PhysRevA.87.043613}, author = {Kwiat, P. G. and White, A. G. and Mitchell, J. R. and Nairz, O. and Weihs, G. and Weinfurter, H. and Zeilinger, A.}, - journal = {Phys. Rev. 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R.}, + journal = {Physical Review B}, volume = {74}, issue = {17}, pages = {174520}, numpages = {20}, year = {2006}, - month = {Nov}, publisher = {American Physical Society}, } @article{bender1998, title = {Real Spectra in Non-Hermitian Hamiltonians Having $\mathcal{P}\mathcal{T}$ Symmetry}, - author = {Bender, Carl M. and Boettcher, Stefan}, - journal = {Phys. Rev. Lett.}, + author = {Bender, C. M. and Boettcher, S.}, + journal = {Physical Review Letters}, volume = {80}, issue = {24}, pages = {5243--5246}, numpages = {0}, year = {1998}, - month = {Jun}, publisher = {American Physical Society}, } @article{giorgi2010, title = {Spontaneous $\mathcal{P}\mathcal{T}$ symmetry breaking and quantum phase transitions in dimerized spin chains}, - author = {Giorgi, Gian Luca}, - journal = {Phys. Rev. B}, + author = {Giorgi, G. L.}, + journal = {Physical Review B}, volume = {82}, issue = {5}, pages = {052404}, numpages = {4}, year = {2010}, - month = {Aug}, publisher = {American Physical Society}, } @article{zhang2013, title = {Non-Hermitian anisotropic $XY$ model with intrinsic rotation-time-reversal symmetry}, author = {Zhang, X. Z. and Song, Z.}, - journal = {Phys. Rev. A}, + journal = {Physical Review A}, volume = {87}, issue = {1}, pages = {012114}, numpages = {7}, year = {2013}, - month = {Jan}, publisher = {American Physical Society}, } @article{bux2013, title={Control of matter-wave superradiance with a high-finesse ring cavity}, - author={Bux, Simone and Tomczyk, Hannah and Schmidt, D and - Courteille, Ph W and Piovella, N and Zimmermann, C}, - journal={Phys. Rev. A}, + author={Bux, S. and Tomczyk, H. and Schmidt, D. and + Courteille, Ph. W. and Piovella, N. and Zimmermann, C.}, + journal={Physical Review A}, volume={87}, number={2}, pages={023607}, @@ -1760,8 +1737,8 @@ doi = {10.1103/PhysRevA.87.043613}, @article{kessler2014, title={Steering matter wave superradiance with an ultranarrow-band optical cavity}, - author={Ke{\ss}ler, H and Klinder, J and Wolke, M and Hemmerich, A}, - journal={Phys. Rev. Lett.}, + author={Ke{\ss}ler, H. and Klinder, J. and Wolke, M. and Hemmerich, A.}, + journal={Physical Review Letters}, volume={113}, number={7}, pages={070404}, @@ -1771,10 +1748,20 @@ doi = {10.1103/PhysRevA.87.043613}, @article{landig2015, title={Measuring the dynamic structure factor of a quantum gas undergoing a structural phase transition}, - author={Landig, Renate and Brennecke, Ferdinand and Mottl, Rafael - and Donner, Tobias and Esslinger, Tilman}, - journal={Nat. Comms.}, + author={Landig, R. and Brennecke, F. and Mottl, R. + and Donner, T. and Esslinger, T.}, + journal={Nature Communications}, volume={6}, year={2015}, publisher={Nature Publishing Group} } +@article{brennecke2013, + title={Real-time observation of fluctuations at the driven-dissipative Dicke phase transition}, + author={Brennecke, Ferdinand and Mottl, Rafael and Baumann, Kristian and Landig, Renate and Donner, Tobias and Esslinger, Tilman}, + journal={Proceedings of the National Academy of Sciences}, + volume={110}, + number={29}, + pages={11763--11767}, + year={2013}, + publisher={National Academy of Sciences} +} diff --git a/thesis-info.tex b/thesis-info.tex index 028866c..ac6a79c 100644 --- a/thesis-info.tex +++ b/thesis-info.tex @@ -29,7 +29,7 @@ Dynamics in Ultracold Bosonic Gases} %% Supervisor (optional) -%\supervisor{Prof. Kenichi Soga} +\supervisor{Dr. Igor B. Mekhov} %% Supervisor Role (optional) - Supervisor (default) or advisor %\supervisorrole{Advisor: } diff --git a/thesis.tex b/thesis.tex index a370e78..7dc0a41 100644 --- a/thesis.tex +++ b/thesis.tex @@ -1,7 +1,7 @@ % ******************************* PhD Thesis Template ************************** % Please have a look at the README.md file for info on how to use the template -\documentclass[a4paper,12pt,times,numbered,print,draft]{Classes/PhDThesisPSnPDF} +\documentclass[a4paper,12pt,times,numbered,print]{Classes/PhDThesisPSnPDF} % ****************************************************************************** % ******************************* Class Options ********************************