Ku, Wai Lim. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2008. / Includes bibliographical references (leaves 97-100). / Abstracts in English and Chinese. / Ku, Wai Lim. / Chapter 1 --- Review of Entanglement --- p.1 / Chapter 1.1 --- Schmidt Decomposition --- p.1 / Chapter 1.1.1 --- Schmidt Decomposition in Continuous Systems --- p.3 / Chapter 1.2 --- Detecting the Quantum Entanglement of Pure States --- p.5 / Chapter 1.3 --- Quantifying the Quantum Entanglement of Pure States --- p.6 / Chapter 1.3.1 --- Von Neumann entropy --- p.8 / Chapter 1.3.2 --- Purity --- p.8 / Chapter 1.3.3 --- Logarithmic Negativity --- p.9 / Chapter 1.3.4 --- Concurrence --- p.10 / Chapter 2 --- Review of Entanglement in the Relativistic Framework --- p.11 / Chapter 2.1 --- Lorentz Transformation of a Quantum State --- p.11 / Chapter 2.2 --- Unruh effect --- p.14 / Chapter 2.2.1 --- The Rindler Spacetime --- p.14 / Chapter 2.2.2 --- Quantum field theory in Rindler Spacetime --- p.18 / Chapter 2.2.3 --- Lightcone Mode Expansion --- p.21 / Chapter 2.3 --- Entanglement Measured by Uniformly Accelerating Detectors --- p.25 / Chapter 2.3.1 --- Number of States in Rindler Spacetime --- p.26 / Chapter 2.3.2 --- Entanglement in an non-inertial frame --- p.29 / Chapter 2.4 --- Entanglement in an Expanding Universe --- p.32 / Chapter 2.5 --- Summary --- p.36 / Chapter 3 --- Some Topics in Entanglement --- p.37 / Chapter 3.1 --- Introduction --- p.37 / Chapter 3.2 --- Accelerating Schrodinger particles --- p.40 / Chapter 3.3 --- Entanglement of Two-body Wavefuction --- p.43 / Chapter 3.4 --- Accelerating the Relativistic Particles --- p.47 / Chapter 3.4.1 --- Quantization of Fields --- p.47 / Chapter 3.5 --- Accelerating Fermions --- p.51 / Chapter 3.6 --- Accelerating scalar particles --- p.55 / Chapter 3.6.1 --- Spectrum --- p.55 / Chapter 3.6.2 --- Entanglement --- p.55 / Chapter 3.6.3 --- Entanglements if the Number of Produced Pairs is Restricted --- p.57 / Chapter 3.7 --- Discussion of the Accelerating Particles --- p.60 / Chapter 3.8 --- Entanglement in de Sitter space --- p.63 / Chapter 3.8.1 --- Pair Creation in de Sitter space --- p.63 / Chapter 3.8.2 --- Entanglement in the de Sitter space --- p.65 / Chapter 4 --- Review of Geometric Phase --- p.67 / Chapter 4.1 --- Magnetic Aharonov-Bohm Effect --- p.68 / Chapter 4.2 --- Berry Phase --- p.69 / Chapter 4.3 --- Aharonov-Anandan Phase --- p.72 / Chapter 4.4 --- Pancharatnam Phase --- p.73 / Chapter 4.5 --- Geometric Phase in a two-level atom --- p.75 / Chapter 5 --- Relationship Between Entanglement and Geometric Phase --- p.78 / Chapter 5.1 --- Relationship Between Berry's Phase and Concurrence --- p.78 / Chapter 5.2 --- Jaynes-Cummings model --- p.82 / Chapter 5.3 --- Projective Phase in the Jaynes-Cummings model --- p.86 / Chapter A --- The Bogoliubov coefficients in the scalar case --- p.91 / Chapter B --- Reducing the Dirac equations to two Klein-Gordon equations --- p.94 / Bibliography --- p.97
| Identifer | oai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_326477 |
| Date | January 2008 |
| Contributors | Ku, Wai Lim., 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, ix, 100 leaves : ill. ; 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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