Wang Jia = 有质量的相互作用双粒子系统产生的量子纠缠 / 王佳. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2006. / Includes bibliographical references (leaves 83-86). / Text in English; abstracts in English and Chinese. / Wang Jia = You zhi liang de xiang hu zuo yong shuang li zi xi tong chan sheng de liang zi jiu chan / Wang Jia. / Chapter 1 --- Introduction --- p.1 / Chapter 2 --- Review of quantum entanglement --- p.3 / Chapter 2.1 --- Schmidt decomposition and entangled pure states --- p.3 / Chapter 2.2 --- Detecting the quantum entanglement of pure states --- p.7 / Chapter 2.3 --- Quantifying the quantum entanglement of pure states --- p.9 / Chapter 2.3.1 --- Von Neumann entropy --- p.10 / Chapter 2.3.2 --- Purity --- p.11 / Chapter 2.3.3 --- Effective Schmidt number --- p.12 / Chapter 2.4 --- Purity of systems consisting of two interacting particles --- p.13 / Chapter 3 --- The pseudopotential method of two-body interactions --- p.16 / Chapter 3.1 --- S-wave pseudopotential in free space --- p.17 / Chapter 3.2 --- An example --- p.19 / Chapter 3.3 --- Pseudopotential for bound states --- p.21 / Chapter 3.4 --- S-wave pseudopotential in harmonic traps --- p.23 / Chapter 3.5 --- Two examples --- p.26 / Chapter 3.5.1 --- Hard-sphere potential --- p.26 / Chapter 3.5.2 --- Square well potential --- p.28 / Chapter 3.6 --- Feshbach resonance and two-channel scattering --- p.30 / Chapter 4 --- Quantum entanglement of ultracold particles in a harmonic trap --- p.35 / Chapter 4.1 --- Regularized Hamiltonian and energy eigenstates --- p.37 / Chapter 4.2 --- Schmidt Decomposition of wave functions with spherical symmetry --- p.39 / Chapter 4.3 --- Numerical Results --- p.41 / Chapter 4.4 --- Infinite scattering length limit --- p.45 / Chapter 5 --- Entanglement generated by wave packet scattering at low energies --- p.47 / Chapter 5.1 --- Scattering between two gaussian wave packets --- p.48 / Chapter 5.2 --- Loss of purity --- p.50 / Chapter 5.3 --- Enhancement of entanglement by resonance --- p.54 / Chapter 6 --- Quantum entanglement in molecular dissociation process --- p.57 / Chapter 6.1 --- Morse potential model --- p.57 / Chapter 6.2 --- Numerical method --- p.60 / Chapter 6.3 --- Excitation and dissociation process --- p.61 / Chapter 6.3.1 --- Weak field transition and Rabi oscillations --- p.62 / Chapter 6.3.2 --- Multiphoton dissociation by a moderately strong field --- p.63 / Chapter 6.3.3 --- Strong field dissociation --- p.72 / Chapter 6.4 --- Schmidt decomposition of dissociated wave function --- p.74 / Chapter 6.4.1 --- Dissociated wave function for the moderated field strength --- p.75 / Chapter 6.4.2 --- Dissociated wave function for the strong field strength --- p.76 / Chapter 7 --- Summary and Conclusions --- p.81 / Bibliography --- p.83 / Chapter A --- Analytical solution of two coupled square-well potentials --- p.87
| Identifer | oai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_325773 |
| Date | January 2006 |
| Contributors | Wang, Jia., 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, 89 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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