Aspects of quantum entanglement in critical and topologically ordered systems

Wen, Xueda

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

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

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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