Song Junliang = 帶有環交換作用的自旋1/2梯子模型中的量子纠缠 / 宋均亮. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2006. / Includes bibliographical references (leaves 60-67). / Text in English; abstracts in English and Chinese. / Song Junliang = Dai you huan jiao huan zuo yong de zi xuan 1/2 ti zi mo xing zhong de liang zi jiu chan / Song Junliang. / Chapter 1 --- Introduction --- p.1 / Chapter 1.1 --- What is Entanglement --- p.1 / Chapter 1.2 --- Quantum Information and Entanglement --- p.4 / Chapter 1.3 --- Entanglement in Condensed Matter Physics --- p.6 / Chapter 1.4 --- The S = 1/2 Spin Ladder with Ring Exchange --- p.9 / Chapter 1.5 --- Arrangement of the Thesis Writing --- p.11 / Chapter 2 --- Measures of Entanglement --- p.13 / Chapter 2.1 --- Axiomatic Approach --- p.14 / Chapter 2.2 --- Entropy of entanglement in pure states --- p.16 / Chapter 2.3 --- Concurrence --- p.17 / Chapter 2.4 --- Negativity --- p.19 / Chapter 2.5 --- Other measurements --- p.20 / Chapter 3 --- Entanglement in S=l/2 Ladder with Ring Exchange at T=0 --- p.22 / Chapter 3.1 --- Model Hamiltonian and Phase Diagram --- p.22 / Chapter 3.2 --- Ground-state concurrence --- p.24 / Chapter 3.3 --- Two-site entanglement of the rung and the SU(4) point --- p.29 / Chapter 3.4 --- Scaling behavior of the block-block entanglement --- p.34 / Chapter 3.5 --- Entanglement of the Ferromagnetic state --- p.37 / Chapter 3.6 --- Other Measurements --- p.42 / Chapter 3.7 --- Summary and Discussion --- p.43 / Chapter 4 --- Thermal Entanglement --- p.45 / Chapter 4.1 --- A Four-Spin Plaquette --- p.46 / Chapter 4.2 --- Thermal concurrence --- p.50 / Chapter 4.3 --- Magnetic susceptibility as Entanglement Witness --- p.52 / Chapter 4.4 --- Numerical results in a 6 x 2 ladder --- p.54 / Chapter 4.5 --- Summary and Discussion --- p.55 / Chapter 5 --- Conclusion and future work --- p.58 / Bibliography --- p.60
| Identifer | oai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_325654 |
| Date | January 2006 |
| Contributors | Song, Junliang., 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, vii, 67 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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