Including contributions from entanglement islands to the reflected entropy

Journal Article · 06 October 2020 · Physical Review D

DOI: https://doi.org/10.1103/PhysRevD.102.086009 · OSTI ID:1670829

Chandrasekaran, Venkatesa; Miyaji, Masamichi ; Rath, Pratik

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