Chung, Chun Kit = 超低溫相互作用費米原子中配對的探究 / 鍾俊傑. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2010. / Includes bibliographical references (leaves 81-88). / Abstracts in English and Chinese. / Chung, Chun Kit = Chao di wen xiang hu zuo yong fei mi yuan zi zhong pei dui de tan jiu / Zhong Junjie. / Chapter 1 --- Introduction --- p.1 / Chapter 2 --- Review on BCS theory --- p.4 / Chapter 2.1 --- BCS theory in uniform systems --- p.4 / Chapter 2.1.1 --- Hamiltonian and ground state solutions --- p.4 / Chapter 2.1.2 --- Choice of interaction potential --- p.7 / Chapter 2.1.3 --- Uniform atomic gas at T = 0 --- p.9 / Chapter 2.2 --- Self-consistent field method --- p.13 / Chapter 2.2.1 --- Population imbalanced systems --- p.17 / Chapter 2.3 --- Description of BCS states at finite temperatures --- p.22 / Chapter 3 --- Bipartite quantum entanglement in BCS states --- p.25 / Chapter 3.1 --- Mixed state bipartite quantum entanglement --- p.26 / Chapter 3.1.1 --- PPT criterion --- p.27 / Chapter 3.1.2 --- Negativity of p --- p.28 / Chapter 3.1.3 --- Entanglement witness --- p.30 / Chapter 3.1.4 --- Two-particle density matrix and two-body negativity --- p.30 / Chapter 3.2 --- Opposite spin states as subsystems --- p.31 / Chapter 3.2.1 --- Structure of and the negativity --- p.32 / Chapter 3.2.2 --- Relationship between the negativity and the order pa- rameter --- p.33 / Chapter 3.2.3 --- Distribution of negative eigenvalues of --- p.34 / Chapter 3.2.4 --- Constructing entanglement witness operator --- p.35 / Chapter 3.2.5 --- Remark: Same spin state as subsystems --- p.37 / Chapter 3.3 --- Momentum states as subsystems --- p.40 / Chapter 3.3.1 --- A and B as opposite momentum states --- p.41 / Chapter 3.3.2 --- A and B as different momentum states k and k' with k≠± k' --- p.43 / Chapter 3.3.3 --- A and B as the same momentum state --- p.44 / Chapter 3.4 --- Summary --- p.45 / Chapter 4 --- Radio-frequency spectroscopy --- p.47 / Chapter 4.1 --- The model Hamiltonian and dynamical equations --- p.49 / Chapter 4.1.1 --- Time-dependent variational method --- p.50 / Chapter 4.1.2 --- Time-dependent Bogoliubov-de Gennes equations --- p.51 / Chapter 4.2 --- Short-time dynamics --- p.53 / Chapter 4.2.1 --- Eigenvectors and Eigenvalues of C --- p.54 / Chapter 4.2.2 --- Build up of particle number density n3 and order param- eter Δ23 --- p.57 / Chapter 4.3 --- Summary --- p.61 / Chapter 5 --- Pairing in three-component systems --- p.63 / Chapter 5.1 --- The mean-field Hamiltonian --- p.64 / Chapter 5.2 --- Symmetric systems --- p.67 / Chapter 5.2.1 --- Quasiparticle spectra --- p.68 / Chapter 5.2.2 --- "Occupation number, condensation amplitude, and co- herence amplitude" --- p.70 / Chapter 5.2.3 --- Strengths of Ω --- p.71 / Chapter 5.3 --- Pairing in asymmetric systems --- p.73 / Chapter 5.3.1 --- Quasiparticle spectra and mean-field solutions --- p.73 / Chapter 5.3.2 --- Effects of Ωij --- p.74 / Chapter 5.4 --- Summary --- p.76 / Chapter 6 --- Conclusion and outlook --- p.79 / Bibliography --- p.81 / Chapter A --- Regularization techniques --- p.89 / Chapter B --- Wick's theorem --- p.91 / Chapter C --- Analytic solutions to three-component symmetric systems --- p.94
| Identifer | oai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_327204 |
| Date | January 2010 |
| Contributors | Chung, Chun Kit., Chinese University of Hong Kong Graduate School. Division of Physics. |
| Source Sets | The Chinese University of Hong Kong |
| Language | English, Chinese |
| Detected Language | English |
| Type | Text, bibliography |
| Format | print, xi, 96 leaves : ill. (chiefly col.) ; 30 cm. |
| Rights | Use 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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