University of Illinois Urbana-Champaign

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

Shen, Jiayu

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

Description

Title
Non-Perturbative studies of quantum field theories with classical and quantum simulations
Author(s)
Shen, Jiayu
Issue Date
2023-11-27
Director of Research (if dissertation) or Advisor (if thesis)
El-Khadra, Aida X.
Doctoral Committee Chair(s)
Draper, Patrick
Committee Member(s)
  • Clark, Bryan
  • Gadway, Bryce
Department of Study
Physics
Discipline
Physics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
  • High Energy Physics
  • Quantum Information Science
  • Quantum Algorithms
  • Machine Learning
Abstract
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.
Graduation Semester
2023-12
Type of Resource
Thesis
Copyright and License Information
Copyright 2023 Jiayu Shen

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