Development of potential-based time domain integral equations for quantum electrodynamics modeling

Quantum technologies that significantly depend on electromagnetic effects are becoming of increasing interest to engineers. In many important cases, the quantum electrodynamics models that describe these technologies can be solved using information about the electromagnetic environment provided by computational electromagnetics methods operating purely in the classical regime. However, the unique requirements imposed by these applications are stressing the capabilities of traditional computational electromagnetics methods. To address this, time domain integral equation methods formulated directly in terms of the magnetic vector and electric scalar potentials are systematically developed for the analysis of perfectly conducting and penetrable regions. A rigorous functional framework is utilized to analyze the Sobolev space properties of these integral equations. Discretizations formulated to conform to these Sobolev space properties are shown to be substantially more stable numerically than traditional discretization approaches. These new computational electromagnetics methods are then utilized in a novel framework developed to determine the spatially-dependent quantized field operators produced by a single photon source built from a transmon qubit.

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

2021

Author dc:creator

• Roth, Thomas E

Contributors dc:contributor

• Chew, Weng C
• Leburton, Jean-Pierre
• Popescu, Gabriel
• Peng, Zhen

• Computational electromagnetics
• time domain integral equations
• quantum electrodynamics

Statement dc:rights

• Copyright 2020 Thomas E. Roth

Language dc:language

en

Handle dc:identifier

http://hdl.handle.net/2142/109357

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/109357