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Title: Including contributions from entanglement islands to the reflected entropy

Journal Article · · Physical Review. D.

Recent work has demonstrated the need to include contributions from entanglement islands when computing the entanglement entropy in quantum field theory states coupled to regions of semiclassical gravity. We propose a new formula for the reflected entropy that includes additional contributions from such islands. We derive this formula from the gravitational path integral by finding additional saddles that include generalized replica wormholes. We also demonstrate that our covariant formula satisfies all the inequalities required of the reflected entropy. We use this formula in various examples that demonstrate its relevance in illustrating the structure of multipartite entanglement that are invisible to the entropies.

Research Organization:
University of California, Berkeley, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP); National Science Foundation (NSF)
Grant/Contract Number:
SC0019380; AC02-05CH11231; PHY1820912
OSTI ID:
1670829
Alternate ID(s):
OSTI ID: 1701729
Journal Information:
Physical Review. D., Vol. 102, Issue 8; ISSN 2470-0010
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

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Cited By (3)

Defect extremal surface as the holographic counterpart of Island formula journal March 2021
Islands for Entanglement Negativity text January 2020
Islands in Linear Dilaton Black Holes text January 2021

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