Islands for Reflected Entropy

• URL: http://arxiv.org/abs/2006.10754v2
• Date: Thu, 25 Jun 2020 05:17:59 GMT
• Title: Islands for Reflected Entropy
• Authors: Venkatesa Chandrasekaran, Masamichi Miyaji and Pratik Rath
• Abstract summary: We propose a new formula for the reflected entropy that includes additional contributions from entanglement islands. We derive this formula from the gravitational path integral by finding additional saddles that include generalized replica wormholes.
• Score: 7.895459735927415
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Recent work has demonstrated the need to include contributions from entanglement islands when computing the entanglement entropy in QFT 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.

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