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Title:Aspects of quantum entanglement in critical and topologically ordered systems
Author(s):Wen, Xueda
Director of Research:Ryu, Shinsei
Doctoral Committee Chair(s):Hughes, Taylor
Doctoral Committee Member(s):Eckstein, James; DeMarco, Brian
Department / Program:Physics
Degree Granting Institution:University of Illinois at Urbana-Champaign
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.
Issue Date:2017-07-06
Rights Information:Copyright 2017 Xueda Wen
Date Available in IDEALS:2017-09-29
Date Deposited:2017-08

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