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Title:The scaling behavior of the entanglement entropy in 2+1 dimensional critical systems
Author(s):Hsu, Benjamin
Director of Research:Fradkin, Eduardo H.
Doctoral Committee Chair(s):Vishveshwara, Smitha
Doctoral Committee Member(s):Fradkin, Eduardo H.; Leigh, Robert G.; Budakian, Raffi
Department / Program:Physics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Subject(s):conformal field theory
quantum entanglement
quantum information theory
Lifschitz theory
quantum quench
quantum Hall
Abstract:The entanglement entropy in 1+1 dimensional critical system has been well studied and known to have a universal scaling form that gives information about the underlying critical system. While the case for 1+1 dimensional critical systems has been well studied, the situation in higher dimensional systems is less clear. In this work, I show that the entanglement entropy in a certain class of 2+1 dimensional critical systems, the conformal quantum critical theories, has a universal subleading correction that likewise gives information about the underlying critical system. In addition, I address the issue of whether the dynamical entanglement entropy, the entanglement generated by a local quantum quench, is an experimentally measurable quantity. This turns out not to be the case, but to arrive at this conclusion we studied quenching in a theory of strongly interacting electrons and applied methods of boundary conformal field theory to solve a hitherto open problem: the noise from an instantaneous switching of a quantum point contact separating two fractional quantum Hall fluids.
Issue Date:2011-08-25
Rights Information:Copyright 2011 Benjamin Hsu
Date Available in IDEALS:2011-08-25
Date Deposited:2011-08

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