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Title: Holographic entropy inequalities and gapped phases of matter

Abstract

Here, we extend our studies of holographic entropy inequalities to gapped phases of matter. For any number of regions, we determine the linear entropy inequalities satisfied by systems in which the entanglement entropy satisfies an exact area law. In particular, we find that all holographic entropy inequalities are valid in such systems. In gapped systems with topological order, the “cyclic inequalities” derived recently for the holo-graphic entanglement entropy generalize the Kitaev-Preskill formula for the topological entanglement entropy. Finally, we propose a candidate linear inequality for general 4-party quantum states.

Authors:
 [1];  [2];  [3];  [1]
  1. California Inst. of Technology (CalTech), Pasadena, CA (United States). Inst. for Quantum Information and Matter and Walter Burke Inst. for Theoretical Physics
  2. California Inst. of Technology (CalTech), Pasadena, CA (United States). Walter Burke Inst. for Theoretical Physics
  3. Stanford Univ., Stanford, CA (United States). Stanford Inst. for Theoretical Physics
Publication Date:
Research Org.:
California Inst. of Technology, Pasadena, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1455189
Grant/Contract Number:  
SC0011632
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2015; Journal Issue: 9; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; AdS-CFT Correspondence; Holography and condensed matter physics (AdS/CMT); Topological States of Matter

Citation Formats

Bao, Ning, Cao, ChunJun, Walter, Michael, and Wang, Zitao. Holographic entropy inequalities and gapped phases of matter. United States: N. p., 2015. Web. doi:10.1007/JHEP09(2015)203.
Bao, Ning, Cao, ChunJun, Walter, Michael, & Wang, Zitao. Holographic entropy inequalities and gapped phases of matter. United States. doi:10.1007/JHEP09(2015)203.
Bao, Ning, Cao, ChunJun, Walter, Michael, and Wang, Zitao. Tue . "Holographic entropy inequalities and gapped phases of matter". United States. doi:10.1007/JHEP09(2015)203. https://www.osti.gov/servlets/purl/1455189.
@article{osti_1455189,
title = {Holographic entropy inequalities and gapped phases of matter},
author = {Bao, Ning and Cao, ChunJun and Walter, Michael and Wang, Zitao},
abstractNote = {Here, we extend our studies of holographic entropy inequalities to gapped phases of matter. For any number of regions, we determine the linear entropy inequalities satisfied by systems in which the entanglement entropy satisfies an exact area law. In particular, we find that all holographic entropy inequalities are valid in such systems. In gapped systems with topological order, the “cyclic inequalities” derived recently for the holo-graphic entanglement entropy generalize the Kitaev-Preskill formula for the topological entanglement entropy. Finally, we propose a candidate linear inequality for general 4-party quantum states.},
doi = {10.1007/JHEP09(2015)203},
journal = {Journal of High Energy Physics (Online)},
number = 9,
volume = 2015,
place = {United States},
year = {2015},
month = {9}
}

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Cited by: 6 works
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Works referenced in this record:

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