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Title:A systematic computational study of cavity and waveguide quantum electrodynamics
Author(s):Liu, Aiyin
Director of Research:Chew, Weng C
Doctoral Committee Chair(s):Chew, Weng C
Doctoral Committee Member(s):Eden, James G; Fang, Kejie; Kudeki, Erhan
Department / Program:Electrical & Computer Eng
Discipline:Electrical & Computer Engr
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(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.
Issue Date:2019-06-26
Type:Text
URI:http://hdl.handle.net/2142/105608
Rights Information:Copyright 2019 Aiyin Liu
Date Available in IDEALS:2019-11-26
Date Deposited:2019-08


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