Including contributions from entanglement islands to the reflected entropy
Abstract
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.
- Authors:
- Publication Date:
- Research Org.:
- Univ. of California, Berkeley, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP); National Science Foundation (NSF)
- OSTI Identifier:
- 1670829
- Alternate Identifier(s):
- OSTI ID: 1701729
- Grant/Contract Number:
- SC0019380; AC02-05CH11231; PHY1820912
- Resource Type:
- Published Article
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Name: Physical Review D Journal Volume: 102 Journal Issue: 8; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Chandrasekaran, Venkatesa, Miyaji, Masamichi, and Rath, Pratik. Including contributions from entanglement islands to the reflected entropy. United States: N. p., 2020.
Web. doi:10.1103/PhysRevD.102.086009.
Chandrasekaran, Venkatesa, Miyaji, Masamichi, & Rath, Pratik. Including contributions from entanglement islands to the reflected entropy. United States. https://doi.org/10.1103/PhysRevD.102.086009
Chandrasekaran, Venkatesa, Miyaji, Masamichi, and Rath, Pratik. Wed .
"Including contributions from entanglement islands to the reflected entropy". United States. https://doi.org/10.1103/PhysRevD.102.086009.
@article{osti_1670829,
title = {Including contributions from entanglement islands to the reflected entropy},
author = {Chandrasekaran, Venkatesa and Miyaji, Masamichi and Rath, Pratik},
abstractNote = {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.},
doi = {10.1103/PhysRevD.102.086009},
journal = {Physical Review D},
number = 8,
volume = 102,
place = {United States},
year = {2020},
month = {10}
}
https://doi.org/10.1103/PhysRevD.102.086009
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