Mou xie yi wei qiang guan lian xi tong zhong liang zi jiu chan de xing wei

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.1Chapter 1.1 --- Entanglement --- p.1Chapter 1.2 --- Thermal entanglement --- p.4Chapter 1.3 --- Quantum information theory and correlations --- p.5Chapter 1.4 --- Quantum phase transition --- p.9Chapter 1.5 --- Motivation of our study --- p.12Chapter 2 --- Entanglement measures --- p.14Chapter 2.1 --- Criteria for a good entanglement measure --- p.14Chapter 2.2 --- Some popular entanglement measures --- p.17Chapter 2.2.1 --- Entropy of entanglement --- p.17Chapter 2.2.2 --- Entanglement of formation --- p.18Chapter 2.2.3 --- Concurrence --- p.20Chapter 2.2.4 --- Negativity --- p.21Chapter 2.2.5 --- Other measures --- p.22Chapter 3 --- Maximizing thermal entanglement using magnetic fields --- p.24Chapter 3.1 --- XY model --- p.24Chapter 3.2 --- Measurement of thermal entanglement --- p.26Chapter 3.3 --- Configurations of fields for maximal thermal entanglement --- p.27Chapter 4 --- Correlations in quantum systems --- p.36Chapter 4.1 --- Definitions and measures of bipartite correlations --- p.37Chapter 4.1.1 --- Total correlation --- p.37Chapter 4.1.2 --- Quantum correlation --- p.38Chapter 4.1.3 --- Classical correlation --- p.39Chapter 4.2 --- Environmental effects on correlations --- p.42Chapter 4.2.1 --- Anisotropic Heisenberg model --- p.42Chapter 4.2.2 --- XY model with nonuniform magnetic field --- p.44Chapter 5 --- Quantum phase transition in asymmetric Hubbard model --- p.51Chapter 5.1 --- Asymmetric Hubbard model --- p.51Chapter 5.1.1 --- The Hamiltonian --- p.52Chapter 5.1.2 --- Perturbation expansion in large-U limit --- p.53Chapter 5.1.3 --- The phases --- p.54Chapter 5.2 --- Density-matrix renormalization group (DMRG) method --- p.57Chapter 5.2.1 --- Basic concepts --- p.58Chapter 5.2.2 --- Algorithm --- p.60Chapter 5.2.3 --- Measurements of observables --- p.67Chapter 5.2.4 --- Improvements --- p.68Chapter 5.3 --- Entanglement as the phase transition indicator --- p.71Chapter 5.3.1 --- Two-site entanglement --- p.72Chapter 5.3.2 --- Block entanglement --- p.73Chapter 5.4 --- Numerical results and analysis --- p.74Chapter 5.4.1 --- Away from half-filling --- p.74Chapter 5.4.2 --- Half-filling --- p.79Chapter 6 --- Conclusion --- p.88Bibliography --- p.9