Chan, Wenling = 某些一維強關聯系統中量子糾纏的行為 / 陳文嶺. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2008. / Includes bibliographical references (leaves 91-97). / Abstracts in English and Chinese. / Chan, Wenling = Mou xie yi wei qiang guan lian xi tong zhong liang zi jiu chan de xing wei / Chen Wenling. / Chapter 1 --- Introduction --- p.1 / Chapter 1.1 --- Entanglement --- p.1 / Chapter 1.2 --- Thermal entanglement --- p.4 / Chapter 1.3 --- Quantum information theory and correlations --- p.5 / Chapter 1.4 --- Quantum phase transition --- p.9 / Chapter 1.5 --- Motivation of our study --- p.12 / Chapter 2 --- Entanglement measures --- p.14 / Chapter 2.1 --- Criteria for a good entanglement measure --- p.14 / Chapter 2.2 --- Some popular entanglement measures --- p.17 / Chapter 2.2.1 --- Entropy of entanglement --- p.17 / Chapter 2.2.2 --- Entanglement of formation --- p.18 / Chapter 2.2.3 --- Concurrence --- p.20 / Chapter 2.2.4 --- Negativity --- p.21 / Chapter 2.2.5 --- Other measures --- p.22 / Chapter 3 --- Maximizing thermal entanglement using magnetic fields --- p.24 / Chapter 3.1 --- XY model --- p.24 / Chapter 3.2 --- Measurement of thermal entanglement --- p.26 / Chapter 3.3 --- Configurations of fields for maximal thermal entanglement --- p.27 / Chapter 4 --- Correlations in quantum systems --- p.36 / Chapter 4.1 --- Definitions and measures of bipartite correlations --- p.37 / Chapter 4.1.1 --- Total correlation --- p.37 / Chapter 4.1.2 --- Quantum correlation --- p.38 / Chapter 4.1.3 --- Classical correlation --- p.39 / Chapter 4.2 --- Environmental effects on correlations --- p.42 / Chapter 4.2.1 --- Anisotropic Heisenberg model --- p.42 / Chapter 4.2.2 --- XY model with nonuniform magnetic field --- p.44 / Chapter 5 --- Quantum phase transition in asymmetric Hubbard model --- p.51 / Chapter 5.1 --- Asymmetric Hubbard model --- p.51 / Chapter 5.1.1 --- The Hamiltonian --- p.52 / Chapter 5.1.2 --- Perturbation expansion in large-U limit --- p.53 / Chapter 5.1.3 --- The phases --- p.54 / Chapter 5.2 --- Density-matrix renormalization group (DMRG) method --- p.57 / Chapter 5.2.1 --- Basic concepts --- p.58 / Chapter 5.2.2 --- Algorithm --- p.60 / Chapter 5.2.3 --- Measurements of observables --- p.67 / Chapter 5.2.4 --- Improvements --- p.68 / Chapter 5.3 --- Entanglement as the phase transition indicator --- p.71 / Chapter 5.3.1 --- Two-site entanglement --- p.72 / Chapter 5.3.2 --- Block entanglement --- p.73 / Chapter 5.4 --- Numerical results and analysis --- p.74 / Chapter 5.4.1 --- Away from half-filling --- p.74 / Chapter 5.4.2 --- Half-filling --- p.79 / Chapter 6 --- Conclusion --- p.88 / Bibliography --- p.91
| Identifer | oai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_326524 |
| Date | January 2008 |
| Contributors | Chan, Wenling., 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, 97 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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