Geometric proof of the equality between entanglement and edge spectra
Name
Swingle-2012-Geometric proof of the equality between entanglement and edge spectra.pdf
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432.06 KB
Format
Adobe PDF
Checksum (MD5)
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Author(s)
Swingle, Brian Gordon
Todadri, Senthil
Date Issued
July 2012
Journal
Physical Review B
Publisher
American Physical Society
Citation
Swingle, Brian, and T. Senthil. “Geometric Proof of the Equality Between Entanglement and Edge Spectra.” Physical Review B 86.4 (2012). ©2012 American Physical Society
Version
Final published version
Abstract
The bulk-edge correspondence for topological quantum liquids states that the spectrum of the reduced density matrix of a large subregion reproduces the thermal state of a physical edge. This correspondence suggests an intricate connection between ground state entanglement and physical edge dynamics. We give a simple geometric proof of the bulk-edge correspondence for a wide variety of physical systems. Our unified proof relies on geometric techniques available in Lorentz invariant and conformally invariant quantum field theories. These methods were originally developed in part to understand the physics of black holes, and we now apply them to determine the local structure of entanglement in quantum many-body systems.
MIT Department
Massachusetts Institute of Technology. Department of Physics
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1103/PhysRevB.86.045117
