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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 |
Discipline: | Physics |
Degree Granting Institution: | University of Illinois at Urbana-Champaign |
Degree: | Ph.D. |
Genre: | Dissertation |
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 |
URI: | http://hdl.handle.net/2142/26157 |
Rights Information: | Copyright 2011 Benjamin Hsu |
Date Available in IDEALS: | 2011-08-25 |
Date Deposited: | 2011-08 |
This item appears in the following Collection(s)
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Graduate Dissertations and Theses at Illinois
Graduate Theses and Dissertations at Illinois -
Dissertations and Theses - Physics
Dissertations in Physics