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Pair correlated atoms in ultracold fermi gas. / 超低溫費米氣體中的對關聯粒子 / Pair correlated atoms in ultracold fermi gas. / Chao di wen fei mi qi ti zhong de dui guan lian li zi

Pong, Yue Hin = 超低溫費米氣體中的對關聯粒子 / 龐宇軒. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2007. / Includes bibliographical references (leaves 77-81). / Text in English, abstracts in English and Chinese. / Pong, Yue Hin = Chao di wen fei mi qi ti zhong de dui guan lian li zi / Pang Yuxuan. / Chapter 1 --- Introduction --- p.1 / Chapter 2 --- Review on BCS theory --- p.4 / Chapter 2.1 --- BCS in uniform gas --- p.4 / Chapter 2.2 --- Hartree Fock Bogoliubov equations --- p.7 / Chapter 2.3 --- Regularization techniques --- p.13 / Chapter 2.4 --- Homogeneous solution to HFB --- p.15 / Chapter 3 --- HFB Computation --- p.17 / Chapter 3.1 --- Example: 1D infinite well --- p.18 / Chapter 3.2 --- Example: 1D SHO --- p.22 / Chapter 3.3 --- Example: Spherical harmonic oscillator --- p.23 / Chapter 3.4 --- Conclusion --- p.26 / Chapter 4 --- Natural Orbits --- p.28 / Chapter 4.1 --- Two-point correlation functions --- p.29 / Chapter 4.2 --- Connection with the BCS --- p.32 / Chapter 4.3 --- Natural orbits in a spherical harmonic potential --- p.33 / Chapter 4.4 --- Remarks --- p.38 / Chapter 5 --- Bosonic characters of atomic Cooper pairs across resonance --- p.43 / Chapter 5.1 --- Resonance in Fermi gas --- p.44 / Chapter 5.2 --- Bosonic tests --- p.50 / Chapter 5.3 --- Choosing a Cooper pair wave function --- p.52 / Chapter 5.3.1 --- Cooper pair I --- p.52 / Chapter 5.3.2 --- Cooper pair II --- p.55 / Chapter 5.4 --- Results in a uniform gas --- p.55 / Chapter 5.5 --- Remark --- p.61 / Chapter 6 --- Time dependent BCS: A numerical study --- p.63 / Chapter 6.1 --- Time evolution in uniform BCS --- p.64 / Chapter 6.2 --- Perturbation to interaction strength --- p.66 / Chapter 6.2.1 --- Sudden decrease in the interaction strength --- p.66 / Chapter 6.2.2 --- Sinusoidal variation of interaction strength --- p.68 / Chapter 6.2.3 --- A decaying energy gap --- p.69 / Chapter 6.3 --- Perturbation to particle numbers --- p.71 / Chapter 6.4 --- Remarks --- p.74 / Chapter 7 --- Summary and Outlook --- p.75 / Chapter 7.1 --- Outlook --- p.75 / Bibliography --- p.77 / Chapter A --- Analytic solutions to homogeneous BCS --- p.82 / Chapter B --- Local Density Approximation (LDA) --- p.84 / Chapter B.1 --- One dimensional LDA --- p.85 / Chapter C --- Finding the regularized Green's Function --- p.87 / Chapter D --- Variational approach to finding natural orbits --- p.90 / Chapter D.1 --- Variation with respect to natural orbits --- p.90 / Chapter D.2 --- Variation with respect to the occupation amplitude --- p.93

Identiferoai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_326089
Date January 2007
ContributorsPong, Yue Hin., Chinese University of Hong Kong Graduate School. Division of Physics.
Source SetsThe Chinese University of Hong Kong
LanguageEnglish, Chinese
Detected LanguageEnglish
TypeText, bibliography
Formatprint, xi, 94 leaves : ill. ; 30 cm.
RightsUse of this resource is governed by the terms and conditions of the Creative Commons “Attribution-NonCommercial-NoDerivatives 4.0 International” License (http://creativecommons.org/licenses/by-nc-nd/4.0/)

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