A systematic computational study of cavity and waveguide quantum electrodynamics
Liu, Aiyin
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https://hdl.handle.net/2142/105608
Description
Title
A systematic computational study of cavity and waveguide quantum electrodynamics
Author(s)
Liu, Aiyin
Issue Date
2019-06-26
Director of Research (if dissertation) or Advisor (if thesis)
Chew, Weng C
Doctoral Committee Chair(s)
Chew, Weng C
Committee Member(s)
Eden, James G
Fang, Kejie
Kudeki, Erhan
Department of Study
Electrical & Computer Eng
Discipline
Electrical & Computer Engr
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
CEM, Quantum electrodynamics
Abstract
In this thesis, a computational electromagnetics framework for cavity and waveguide quantum electrodynamics (CQED and WQED, respectively) is presented. By utilizing the classical dyadic Green's function, the quantum many body problem of multiple atoms interacting with an arbitrary lossless electromagnetic environment is reduced to a computationally manageable size. The resulting semi-analytical formulation solves the atomic dynamics using dressed states of the atoms and electromagnetic fields. Numerical examples are given to benchmark the formulation. In particular, the existence of atom-photon bound states in electromagnetic environments with peculiar density of state structure is predicted, and their physics are studied. Both rotating-wave and counter-rotating-wave interactions are considered, although the formulation for the latter case is confined to one dimension due to its complexity. Losses introduced by an oscillator bath are also considered; however, due to time constraints, they were not included in the final formulation.
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