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study of collective photon-atom interactions in cavity QED models. / A study of collective photon-atom interactions in cavity QED models.

Lee, Kwun Yan = 腔量子電動力學模型中光子-原子集體相互作用 / 李冠昕. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2007. / Includes bibliographical references (leaves 81-86). / Text in English; abstracts in English and Chinese. / Lee, Kwun Yan = Qiang liang zi dian dong li xue mo xing zhong guang zi-yuan zi ji ti xiang hu zuo yong / Li Guanxin. / Chapter 1 --- Introduction --- p.1 / Chapter 2 --- Basic description of cavity QED systems --- p.4 / Chapter 2.1 --- Mode functions --- p.4 / Chapter 2.2 --- Quantization of electromagnetic fields --- p.7 / Chapter 2.2.1 --- Generalized modes of photons --- p.8 / Chapter 2.2.2 --- Cavity modes and dipole interactions --- p.10 / Chapter 2.3 --- Interaction models --- p.11 / Chapter 2.3.1 --- Jaynes-Cummings model --- p.12 / Chapter 2.3.2 --- Raman model (∧-type atoms) --- p.12 / Chapter 2.3.3 --- Two-model interaction: X-like 4-level atoms --- p.14 / Chapter 3 --- Phot on-atom entanglement generated by AC Stark shift --- p.16 / Chapter 3.1 --- Introduction --- p.16 / Chapter 3.2 --- The model --- p.18 / Chapter 3.3 --- Evolution of states --- p.19 / Chapter 3.4 --- Schmidt analysis of entanglement --- p.21 / Chapter 3.5 --- Break time: Deviation from continuous approximation --- p.26 / Chapter 3.6 --- Fractional revival of entanglement --- p.29 / Chapter 3.7 --- Number-phase correlation --- p.29 / Chapter 3.8 --- Consideration of cavity field leakage: Input-output relation --- p.31 / Chapter 4 --- Dynamical modes in Dicke superradiance --- p.36 / Chapter 4.1 --- Introduction --- p.36 / Chapter 4.2 --- Spontaneous emission from a single atom --- p.38 / Chapter 4.2.1 --- Free space problem --- p.39 / Chapter 4.2.2 --- Leaky cavity problem --- p.40 / Chapter 4.3 --- Spontaneous emission for NA-atoms --- p.43 / Chapter 4.4 --- Dynamical mode formalism --- p.44 / Chapter 4.4.1 --- Motivation --- p.44 / Chapter 4.4.2 --- Optimal dynamic mode functions --- p.46 / Chapter 4.4.3 --- Mode purity function --- p.48 / Chapter 4.4.4 --- Two-time collective dipole correlation function --- p.48 / Chapter 4.5 --- Results --- p.51 / Chapter 4.5.1 --- Two-atom case --- p.52 / Chapter 4.5.2 --- Many atoms case: Fully excited systems --- p.52 / Chapter 4.5.3 --- Many atoms case: Halfly excited systems --- p.56 / Chapter 4.5.4 --- Many atoms case: NA ´ؤ δ excited systems --- p.57 / Chapter 4.6 --- Remarks on three-dimensional systems --- p.58 / Chapter 5 --- Single-mode treatment of Raman interaction inside a cavity --- p.61 / Chapter 5.1 --- Introduction --- p.61 / Chapter 5.2 --- The model and Hamiltonians --- p.63 / Chapter 5.3 --- A dominant dynamic field mode --- p.66 / Chapter 5.3.1 --- Bosonization: Undepleted atom number approximation . --- p.66 / Chapter 5.3.2 --- Bosonization: Inclusion of atom number depletion --- p.70 / Chapter 5.4 --- Single-mode interaction by time-dependent variational principle --- p.72 / Chapter 5.5 --- Photon-atom squeezing --- p.75 / Chapter 6 --- Conclusion --- p.78 / Bibliography --- p.81 / Chapter A --- Dicke states and spin coherent states --- p.87 / Chapter A.1 --- Dicke states --- p.87 / Chapter A.2 --- Spin coherent states --- p.90 / Chapter B --- Adiabatic elimination and AC Stark shift --- p.93 / Chapter B.1 --- 2-level system --- p.93 / Chapter B.2 --- Raman transition --- p.94 / Chapter C --- Derivation of Master equation --- p.98 / Chapter C.1 --- Dissipative quantum systems: The master equation approach --- p.98 / Chapter C.1.1 --- Born and Markov approximation --- p.99 / Chapter C.2 --- Master equation in collective spontaneous emissions --- p.103 / Chapter C.3 --- Analytical solution by Laplace transform --- p.106

Identiferoai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_326042
Date January 2007
ContributorsLee, Kwun Yan., Chinese University of Hong Kong Graduate School. Division of Physics.
Source SetsThe Chinese University of Hong Kong
LanguageEnglish, Chinese
Detected LanguageEnglish
TypeText, bibliography
Formatprint, xiii, 109 leaves : ill. ; 30 cm.
RightsUse 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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