University of Illinois Urbana-Champaign

Aspects of quantum entanglement in critical and topologically ordered systems

Wen, Xueda

Content Files
WEN-DISSERTATION-2017.pdf

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https://hdl.handle.net/2142/98200

Description

Title
Aspects of quantum entanglement in critical and topologically ordered systems
Author(s)
Wen, Xueda
Issue Date
2017-07-06
Director of Research (if dissertation) or Advisor (if thesis)
Ryu, Shinsei
Doctoral Committee Chair(s)
Hughes, Taylor
Committee Member(s)
  • Eckstein, James
  • DeMarco, Brian
Department of Study
Physics
Discipline
Physics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Date of Ingest
2017-09-29T17:45:11Z
Keyword(s)
  • Entanglement
  • Critical systems
  • Topologically ordered systems
Abstract
Quantum entanglement plays an important role in characterizing the property of many-body systems and quantum field theories. In this thesis, we study the quantum entanglement in (1+1)-dimensional critical systems and (2+1)-dimensional topologically ordered phases. For (1+1)-d critical systems, we mainly study the non-equilibrium property of quantum entanglement, by focusing on three interesting cases: (i) the time evolution of entanglement hamiltonian during thermalization of a subsystem after a global quantum quench; (ii) time evolution of entanglement entropy after an inhomogeneous quantum quench; (iii) entanglement negativity evolution after a local quantum quench. For (2+1)-d topologically ordered phases, we use edge theory approach to study the topological entanglement entropy, mutual information and entnanglement negativity of Chern-Simons theories, which are further confirmed based on the surgey approach. In addition, we study the entanglement renormalization of topological insulators, and investigate the geometric and topological properties in the bulk of entanglement renormalization.
Graduation Semester
2017-08
Type of Resource
text
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http://hdl.handle.net/2142/98200
Copyright and License Information
Copyright 2017 Xueda Wen

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