Bao, Ning and Cao, ChunJun and Walter, Michael and Wang, Zitao (2015) Holographic entropy inequalities and gapped phases of matter. Journal of High Energy Physics, 2015 (9). Art. No. 203. ISSN 1126-6708. doi:10.1007/JHEP09(2015)203. https://resolver.caltech.edu/CaltechAUTHORS:20150812-144213214
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Abstract
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.
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| Additional Information: | © 2015 The Authors. Article funded by SCOAP3. Open Access. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Received: July 29, 2015. Accepted: September 7, 2015. Published: September 29, 2015. We thank Sepehr Nezami and Bogdan Stoica for helpful discussions. This research is supported in part by the Institute for Quantum Information and Matter at Caltech, by the Walter Burke Institute for Theoretical Physics at Caltech, by DOE grant DE-SC0011632, by the Gordon and Betty Moore Foundation through Grant 776 to the Caltech Moore Center for Theoretical Cosmology and Physics, by the Simons Foundation, and by FQXI. N.B. is supported by the DuBridge postdoctoral fellowship at the Walter Burke Institute for Theoretical Physics. | ||||||||||||||||
| Group: | Walter Burke Institute for Theoretical Physics, Institute for Quantum Information and Matter, Moore Center for Theoretical Cosmology and Physics | ||||||||||||||||
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| Subject Keywords: | AdS-CFT Correspondence, Holography and condensed matter physics (AdS/CMT), Topological States of Matter | ||||||||||||||||
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| Issue or Number: | 9 | ||||||||||||||||
| DOI: | 10.1007/JHEP09(2015)203 | ||||||||||||||||
| Record Number: | CaltechAUTHORS:20150812-144213214 | ||||||||||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20150812-144213214 | ||||||||||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||||||
| ID Code: | 59459 | ||||||||||||||||
| Collection: | CaltechAUTHORS | ||||||||||||||||
| Deposited By: | Joy Painter | ||||||||||||||||
| Deposited On: | 12 Aug 2015 22:28 | ||||||||||||||||
| Last Modified: | 10 Nov 2021 22:20 |
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