The structure of many-body entanglement
Name
827308153-MIT.pdf
Description
Full printable version
Size
11.47 MB
Format
Adobe PDF
Checksum (MD5)
9ab7f46ce78bf6c35c380bd052cc218f
Author(s)
Swingle, Brian Gordon
Advisor(s)
Xiao-Gang Wen.
Date Issued
2011
Publisher
Massachusetts Institute of Technology
Abstract
In this thesis we discuss the general spatial structure of quantum entanglement in local many-body systems. A central theme is the organizing power of the renormalization group for thinking about many-body entanglement. We argue that the coarse structure of entanglement across of wide variety of systems, from gapped topological phases to gapless Fermi liquids in a variety of dimensions, can all be understood within a unified framework. We discuss tensor network states inspired by entanglement considerations, probe the limits of the boundary law for entanglement entropy, speculate about connections between entanglement renormalization and holography, and develop the formalism of mutual information in quantum field theory. We proceed from general considerations about entanglement in lattice models of many-body physics to specific attempts to isolate the low energy structure of entanglement in quantum field theories. We conclude by describing some major open questions in the subject of many-body entanglement that we find particularly interesting.
Description
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Physics, 2011.
Cataloged from PDF version of thesis.
Includes bibliographical references (p. 137-143).
Subjects
Physics.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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copyright. They may be viewed from this source for any purpose, but
reproduction or distribution in any format is prohibited without written
permission. See provided URL for inquiries about permission.
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