Some minor changes

Chapter1/chapter1.tex

@@ -83,41 +83,41 @@ 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, mekhov2007NP, mekhov2012}. This
+\cite{mekhov2007prl, mekhov2007pra, mekhov2007NP, LP2009,
-allows us to probe the many-body system in a nondestructive manner and
+  mekhov2012}. This allows us to probe the many-body system in a
-under certain conditions even perform quantum non-demolition (QND)
+nondestructive manner and under certain conditions even perform
-measurements. QND measurements were originally developed in the
+quantum non-demolition (QND) measurements. QND measurements were
-context of quantum optics as a tool to measure a quantum system
+originally developed in the context of quantum optics as a tool to
-without significantly disturbing it \cite{braginsky1977, unruh1978,
+measure a quantum system without significantly disturbing it
-  brune1990, brune1992}. This has naturally been extended into the
+\cite{braginsky1977, unruh1978, brune1990, brune1992}. This has
-realm of ultracold gases where such non-demolition schemes have been
+naturally been extended into the realm of ultracold gases where such
-applied to both fermionic \cite{eckert2008qnd, roscilde2009} and
+non-demolition schemes have been applied to both fermionic
-bosonic systems \cite{hauke2013, rogers2014}. In this thesis, we
+\cite{eckert2008qnd, roscilde2009} and bosonic systems
-consider light scattering in free space from a bosonic ultracold gas
+\cite{hauke2013, rogers2014}. In this thesis, we consider light
-and show that there are many prominent features that go beyond
+scattering in free space from a bosonic ultracold gas and show that
-classical optics. Even the scattering angular distribution is
+there are many prominent features that go beyond classical
-nontrivial with Bragg conditions that are significantly different from
+optics. Even the scattering angular distribution is nontrivial with
-the classical case. Furthermore, we show that the direct coupling of
+Bragg conditions that are significantly different from the classical
-quantised light to the atomic systems enables the nondestructive
+case. Furthermore, we show that the direct coupling of quantised light
-probing beyond a standard mean-field description. We demonstrate this
+to the atomic systems enables the nondestructive probing beyond a
-by showing that the whole phase diagram of a disordered
+standard mean-field description. We demonstrate this by showing that
-one-dimensional Bose-Hubbard Hamiltonian, which consists of the
+the whole phase diagram of a disordered one-dimensional Bose-Hubbard
-superfluid, Mott insulating, and Bose glass phases, can be mapped from
+Hamiltonian, which consists of the superfluid, Mott insulating, and
-the properties of the scattered light. Additionally, we go beyond
+Bose glass phases, can be mapped from the properties of the scattered
-standard QND approaches, which only consider coupling to density
+light. Additionally, we go beyond standard QND approaches, which only
-observables, by also considering the direct coupling of the quantised
+consider coupling to density observables, by also considering the
-light to the interference between neighbouring lattice sites. We show
+direct coupling of the quantised light to the interference between
-that not only is this possible to achieve in a nondestructive manner,
+neighbouring lattice sites. We show that not only is this possible to
-it is also achieved without the need for single-site resolution. This
+achieve in a nondestructive manner, it is also achieved without the
-is in contrast to the standard destructive time-of-flight measurements
+need for single-site resolution. This is in contrast to the standard
-currently used to perform these measurements \cite{miyake2011}. Within
+destructive time-of-flight measurements currently used to perform
-a mean-field treatment this enables probing of the order parameter as
+these measurements \cite{miyake2011}. Within a mean-field treatment
-well as matter-field quadratures and their squeezing. This can have an
+this enables probing of the order parameter as well as matter-field
-impact on atom-wave metrology and information processing in areas
+quadratures and their squeezing. This can have an impact on atom-wave
-where quantum optics has already made progress, e.g.,~quantum imaging
+metrology and information processing in areas where quantum optics has
-with pixellized sources of non-classical light \cite{golubev2010,
+already made progress, e.g.,~quantum imaging with pixellized sources
-  kolobov1999}, as an optical lattice is a natural source of multimode
+of non-classical light \cite{golubev2010, kolobov1999}, as an optical
-nonclassical matter waves.
+lattice is a natural source of multimode nonclassical matter waves.
 
 Second, coupling a quantum gas to a cavity also enables us to study
 open system many-body dynamics either via dissipation where we have no
@@ -145,8 +145,9 @@ the first condenste was obtained that theoretical work on the effects
 of measurement on BECs appeared \cite{cirac1996, castin1997,
   ruostekoski1997}. Recently, work has also begun on combining weak
 measurement with the strongly correlated dynamics of ultracold gases
-in optical lattices \cite{mekhov2009prl, mekhov2009pra, mekhov2012,
+in optical lattices \cite{mekhov2009prl, mekhov2009pra, LP2010,
-  douglas2012, douglas2013, ashida2015, ashida2015a}.
+  mekhov2012, douglas2012, LP2013, douglas2013, ashida2015,
+  ashida2015a}.
 
 In this thesis we focus on the latter by considering a quantum gas in
 an optical lattice coupled to a cavity \cite{mekhov2012}. This
@@ -220,7 +221,7 @@ of quantum gases is beyond the scope of this thesis.
 
 \newpage
 
-\section*{Publication List}
+\section*{List of Publications}
 
 The work contained in this thesis is based on seven publications
 \cite{kozlowski2015, elliott2015, atoms2015, mazzucchi2016,
@@ -254,13 +255,14 @@ The work contained in this thesis is based on seven publications
     2016. $^*$\emph{Equally contributing authors}. \\ \\
 
     \cite{kozlowski2016zeno} & W. Kozlowski, S. F. Caballero-Benitez,
-    and I. B. Mekhov. ``Non- hermitian dynamics in the quantum zeno
+    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
+    multimode bosonic systems induced by weak quantum
-    measurement''. \emph{New Journal of Physics}, 18(7):073017, 2016. \\ \\
+    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

Chapter2/chapter2.tex

@@ -1174,23 +1174,20 @@ 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
+efficiencies are not a problem provided that the photon scattering
-to a good degree of accuracy and 10\% was sufficient for near unit
+pattern is periodic in some way, e.g.~oscillatory as was the case in
-fidelity. However, this incredible result requires that the photon
+Ref. \cite{mazzucchi2016njp} or constant. This way it is only
-scattering pattern is periodic in some way, e.g.~oscillatory as was
+necessary to detect a sufficient number of photons to deduce the
-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
+lifetime of the experiment. For free space scattering appropriate
-several hundred milliseconds have been achieved by for example using
+conditions have been achieved by for example using molasses beams that
-molasses beams that simultaneously cool and trap the atoms
+simultaneously cool and trap the atoms \cite{weitenberg2011,
-\cite{weitenberg2011, weitenbergThesis}. Similar feats have been
+  weitenbergThesis}. Similar feats have been achieved with atoms
-achieved with atoms coupled to a leaky cavity where interogation times
+coupled to a leaky cavity in Ref. \cite{brennecke2013}. Crucially, the
-of 0.8s have been achieved in Ref. \cite{brennecke2013}. Crucially,
+cavity in said experiment has a decay rate of the order of MHz which
-the cavity in said experiment has a decay rate of the order of MHz
+is necessary to observe measurement backaction which we will consider
-which is necessary to observe measurement backaction which we will
+in the subsequent chapters.
-consider in the subsequent chapters.

Chapter5/chapter5.tex

@@ -1743,11 +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, mazzucchi2016feedback}. Furthermore, the form
+times \cite{ivanov2014, mazzucchi2016feedback,
-of the measurement operator is very flexible and it can easily be
+  ivanonv2016}. Furthermore, the form of the measurement operator is
-engineered by the geometry of the optical setup \cite{elliott2015,
+very flexible and it can easily be engineered by the geometry of the
-  mazzucchi2016} which can be used to design a state with desired
+optical setup \cite{elliott2015, mazzucchi2016} which can be used to
-properties.
+design a state with desired properties.
 
 \section{Conclusions}
 

Classes/PhDThesisPSnPDF.cls

@@ -1160,14 +1160,23 @@ wish to left align your text}
   \thispagestyle{empty}
   \setsinglecolumn
   \begin{center}
-    { \Large {\bfseries {\@title}} \par}
+    { \Large \singlespacing {\bfseries {\@title}} \par}
-    {{\large \vspace*{1em} \@author} \par}
+    { {\onehalfspacing \vspace*{1em} \@author, \@college \\        
+        A thesis submitted for the degree of \@degreetitle \\
+        \@degreedate \\
+      {\Large \vspace*{1em} {\bfseries {Abstract}}}\par}}
   \end{center}
 \else
 % Normal abstract in the thesis
   \cleardoublepage
   \setsinglecolumn
-  \chapter*{\centering \Large Abstract}
+  \begin{center}
+    { \Large \singlespacing {\bfseries {\@title}} \par}
+    { {\onehalfspacing \vspace*{1em} \@author, \@college \\        
+        A thesis submitted for the degree of \@degreetitle \\
+        \@degreedate \\
+      {\Large \vspace*{1em} {\bfseries {Abstract}}}\par}}
+  \end{center}
   \thispagestyle{empty}
 \fi
 }

References/references.bib

@@ -203,6 +203,12 @@ year = {2010}
   year={2012},
   publisher={IOP Publishing}
 }
+@article{ivanov2016,
+  title={Incoherent quantum feedback control of collective light scattering by Bose-Einstein condensates},
+  author={Ivanov, Denis A and Ivanova, Tatiana Yu and Mekhov, Igor B},
+  journal={arXiv preprint arXiv:1601.02230},
+  year={2016}
+}
 
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 %% Group papers
@@ -223,8 +229,8 @@ year = {2010}
                   S. F. and Mekhov, I. B.},
   journal = {Physical Review Letters},
   pages = {113604},
-  title = {{Multipartite Entangled Spatial Modes of Ultracold Atoms
+  title = {Multipartite Entangled Spatial Modes of Ultracold Atoms
-                  Generated and Controlled by Quantum Measurement}},
+                  Generated and Controlled by Quantum Measurement},
   volume = {114},
   year = {2015}
 }
@@ -350,7 +356,7 @@ year = {2010}
 @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},
+  journal={arXiv preprint arXiv:1606.06022 (TBP in Optica)},
   year={2016}
 }
 	

thesis-info.tex

@@ -52,7 +52,7 @@ Dynamics in Ultracold Bosonic Gases}
 
 %% Submission date
 % Default is set as {\monthname[\the\month]\space\the\year}
-%\degreedate{September 2014} 
+\degreedate{Trinity Term 2016} 
 
 %% Meta information
 %\subject{LaTeX} \keywords{{LaTeX} {PhD Thesis} {Engineering} {University of