A systematic computational study of cavity and waveguide quantum electrodynamics

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.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Electrical & Computer Engr

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2019

Author dc:creator

• Liu, Aiyin

Contributors dc:contributor

• Chew, Weng C
• Eden, James G
• Fang, Kejie
• Kudeki, Erhan

• CEM, Quantum electrodynamics

Statement dc:rights

• Copyright 2019 Aiyin Liu

Language dc:language

en

Handle dc:identifier

http://hdl.handle.net/2142/105608

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/105608