期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 9, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP09(2015)203
关键词
AdS-CFT Correspondence; Holography and condensed matter physics (AdS/CMT); Topological States of Matter
资金
- Institute for Quantum Information and Matter at Caltech
- Walter Burke Institute for Theoretical Physics at Caltech
- DOE [DE-SC0011632]
- Gordon and Betty Moore Foundation [776]
- Simons Foundation
- FQXI
- Du Bridge postdoctoral fellowship at the Walter Burke Institute for Theoretical Physics
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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