A computational electromagnetic framework for waveguide quantum electrodynamics
Liu, Aiyin
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https://hdl.handle.net/2142/95487
Description
Title
A computational electromagnetic framework for waveguide quantum electrodynamics
Author(s)
Liu, Aiyin
Issue Date
2016-11-29
Director of Research (if dissertation) or Advisor (if thesis)
Chew, Weng C.
Department of Study
Electrical & Computer Eng
Discipline
Electrical & Computer Engr
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
M.S.
Degree Level
Thesis
Keyword(s)
Computational Electromagnetics
Waveguide Quantumelectrodynamics
Dyadic Green's Function
Abstract
In this thesis, a framework for cavity and waveguide quantum electrodynamic (CQED, and WQED, respectively) problems is presented. The essence of this framework is to use the dyadic Green's function (DGF) to obtain the local density of states (LDOS) and radiative shift of a two-level system (TLS) embedded in an arbitrary electromagnetic continuum. The dressed states of the system are also found using a method of direct diagonalization of operators. The physics and essential features of the dressed states are related to the DGF. The dynamics of the system are solved in connection with the resolvent formalism of quantum scattering theory.
The work presented here represent the first attempts in this important topic of study. This thesis accomplishes the full solution of the problem of a two-level atom coupled to arbitrary lossless electromagnetic environments. The cases of transmission line, hollow rectangular waveguide and free space are considered. At the same time, an attempt to gather much of the required background for this highly interdisciplinary topic is made, in particular, the quantization of an arbitrary lossless waveguide is presented in detail, which to the best of our knowledge, has not appeared in the literature. More detailed investigations will follow in a Ph.D. dissertation.
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