Non-Perturbative studies of quantum field theories with classical and quantum simulations

Lattice quantum chromodynamics (QCD) has been a renowned and successful non-perturbative approach of quantum field theories. However, it still has its limitations in aspects including real-time dynamics, the topological θ-term, the fermion chemical potential, and computing resources. Motivated by these aspects, this thesis is a series of nonperturbative studies of quantum field theories with both classical simulations and quantum simulations. The thesis studies quantum theories simpler than QCD but targets at those interesting aspects challenging for comtemporary lattice QCD. Chapters 2, 3, 4, and 5 develop quantum simulations on quantum computers. Chapter 6 develops a modified Euclidean Monte Carlo method for real-time quantum tunneling.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Physics

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2023

Author dc:creator

• Shen, Jiayu

Contributors dc:contributor

• El-Khadra, Aida X.
• Draper, Patrick
• Clark, Bryan
• Gadway, Bryce

• High Energy Physics
• Quantum Information Science
• Quantum Algorithms
• Machine Learning

Statement dc:rights

• Copyright 2023 Jiayu Shen

Language dc:language

en, eng

Handle dc:identifier

https://hdl.handle.net/2142/122131

OAI record oai:identifier

https://www.ideals.illinois.edu/oai-pmh?verb=GetRecord&metadataPrefix=etdms&identifier=oai%3Awww.ideals.illinois.edu%3A2142%2F122131