126 lines
3.4 KiB
TeX
126 lines
3.4 KiB
TeX
|
\documentclass[12pt]{article}
|
|||
|
\usepackage{a4}
|
|||
|
\usepackage{hyperref}
|
|||
|
\usepackage{color}
|
|||
|
\usepackage{graphicx}
|
|||
|
\usepackage{fancyhdr}
|
|||
|
\usepackage{amssymb,amsmath}
|
|||
|
\usepackage{bm}
|
|||
|
\usepackage[lofdepth,lotdepth]{subfig}
|
|||
|
|
|||
|
\relpenalty=10000
|
|||
|
\binoppenalty=10000
|
|||
|
|
|||
|
% Set page size:
|
|||
|
|
|||
|
\textwidth 160mm
|
|||
|
\textheight 235mm
|
|||
|
\oddsidemargin 0mm
|
|||
|
\topmargin -15mm
|
|||
|
\baselineskip 13pt
|
|||
|
\parskip 0pc
|
|||
|
\parindent 1pc
|
|||
|
|
|||
|
% Headers and footer using fancyhdr:
|
|||
|
|
|||
|
\definecolor{darkred}{rgb}{0.80,0.00,0.05}
|
|||
|
\definecolor{blue}{rgb}{0.00,0.00,0.95}
|
|||
|
\definecolor{darkgreen}{rgb}{0.00,0.60,0.0}
|
|||
|
\definecolor{gray}{rgb}{0.95,0.9,0.9}
|
|||
|
|
|||
|
\title{Theoretical and Numerical Study of Models of Entanglement for
|
|||
|
Neutrons}
|
|||
|
|
|||
|
\date{14 May, 2012}
|
|||
|
|
|||
|
\author{ Candidate Number: 8221T \\ Supervisor: Dr Crispin Barnes }
|
|||
|
|
|||
|
\begin{document}
|
|||
|
|
|||
|
\maketitle
|
|||
|
|
|||
|
\input{abstract}
|
|||
|
|
|||
|
\input{introduction}
|
|||
|
|
|||
|
\input{experiment}
|
|||
|
|
|||
|
\input{model}
|
|||
|
|
|||
|
\input{results}
|
|||
|
|
|||
|
\input{conclusions}
|
|||
|
|
|||
|
\newpage
|
|||
|
|
|||
|
\input{appendix}
|
|||
|
|
|||
|
\input{decoherence}
|
|||
|
|
|||
|
\begin{thebibliography}{9}
|
|||
|
|
|||
|
\bibitem{pulsar} J.M. Weisberg, J. H. Taylor, \emph{Relativistic
|
|||
|
Binary Pulsar B1913+16: Thirty Years of Observations and Analysis},
|
|||
|
arXiv:astro-ph/0407149v1 (2004).
|
|||
|
|
|||
|
\bibitem{hobson} M. P. Hobson, G. Efstathiou, A. N. Lasenby,
|
|||
|
\emph{General Relativity: An Introduction for Physicists},
|
|||
|
(ch. 17-18), Cambridge University Press, 2009. ISBN-13
|
|||
|
978-0-521-82951-9.
|
|||
|
|
|||
|
\bibitem{epr}
|
|||
|
A. Einstein, B. Podolsky, N. Rosen,
|
|||
|
\emph{Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?}
|
|||
|
Phys. Rev. 47, 777–780
|
|||
|
(1935).
|
|||
|
|
|||
|
\bibitem{aspect} A. Aspect, J. Dalibard, G. Roger, \emph{Experimental
|
|||
|
Test of Bell's Inequalities Using Time-Varying Analyzers}
|
|||
|
Phys. Rev. Lett. 49, 1804-1807 (1982).
|
|||
|
|
|||
|
\bibitem{steane} A. Steane, \emph{Quantum Computing},
|
|||
|
arXiv:quant-ph/9708022v2 (1997).
|
|||
|
|
|||
|
\bibitem{zurek} W. H. Zurek, \emph{Decoherence and the transition from
|
|||
|
quantum to classical -- REVISITED} arXiv:quant-ph/0306072v1 (2003).
|
|||
|
|
|||
|
\bibitem{edmund} E. T. Owen, M. C. Dean, C. H. W. Barnes,
|
|||
|
\emph{Generation of Entanglement between Qubits in a One-Dimensional
|
|||
|
Harmonic Oscillator}, Phys. Rev. A 85, 022319 (2012).
|
|||
|
|
|||
|
\bibitem{rings}
|
|||
|
http://www.johnstonsarchive.net/relativity/pictures.html
|
|||
|
|
|||
|
\bibitem{blundell} S. J. Blundell, J. A. C. Bland, \emph{Polarized
|
|||
|
Neutron Reflection as a Probe of Magnetic Films and Multilayers},
|
|||
|
Phys. Rev. B 46, 3391-3400 (1992).
|
|||
|
|
|||
|
\bibitem{kobzarev} I.Y. Kobzarev, L.B. Okun, \emph{Gravitational
|
|||
|
Interaction of Fermions}, Soviet Journal of Experimental and
|
|||
|
Theoretical Physics, Vol. 16, p.1343 (1963).
|
|||
|
|
|||
|
\bibitem{decoherence} T. Fujisawa, T. Hayashi, H. D. Cheong,
|
|||
|
Y. H. Jeong, Y. Hirayama, \emph{Rotation and Phase-shift Operations
|
|||
|
for a Charge Qubit in a Double Quantum Dot}, Phys. Rev. Lett 91
|
|||
|
226804-1 (2003).
|
|||
|
|
|||
|
\bibitem{numerics} J. J. V. Maestri, R. H. Landau, M. J. Paez,
|
|||
|
\emph{Two-Particle Schroedinger Equation Animations of
|
|||
|
Wavepacket-Wavepacket Scattering (revised)},
|
|||
|
arXiv:physics/9909042v1 [physics.comp-ph] (2008).
|
|||
|
|
|||
|
\bibitem{feynman} R. P. Feynman, F. L. Vernon Jr., \emph{The theory of
|
|||
|
a general quantum system interacting with a linear dissipative
|
|||
|
system}, Annals Phys. 24, 118-173 (1963).
|
|||
|
|
|||
|
\bibitem{caldeira} A. O. Caldeira, A. J. Leggett, \emph{Path Integral
|
|||
|
Approach to Quantum Brownian Motion}, Physica 121A, 587-616 (1983).
|
|||
|
|
|||
|
\bibitem{master} W. G. Unruh, W. H. Zurek, \emph{Reduction of a wave
|
|||
|
packet in quantum Brownian motion}, Phys. Rev. D. 40, 1071-1094
|
|||
|
(1984).
|
|||
|
|
|||
|
\end{thebibliography}
|
|||
|
|
|||
|
\end{document}
|