Seeing the Entanglement Wedge
Preprint
Abstract
We study the problem of revealing the entanglement wedge using simple operations. We ask what operation a semiclassical observer can do to bring the entanglement wedge into causal contact with the boundary, via backreaction. In a generic perturbative class of states, we propose a unitary operation in the causal wedge whose backreaction brings all of the previously causally inaccessible `peninsula' into causal contact with the boundary. This class of cases includes entanglement wedges associated to boundary sub-regions that are unions of disjoint spherical caps, and the protocol works to first order in the size of the peninsula. The unitary is closely related to the so-called Connes Cocycle flow, which is a unitary that is both well-defined in QFT and localised to a sub-region. Our construction requires a generalization of the work by Ceyhan & Faulkner to regions which are unions of disconnected spherical caps. We discuss this generalization in the Appendix. We argue that this cocycle should be thought of as naturally generalizing the non-local coupling introduced in the work of Gao, Jafferis & Wall.Keywords
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This publication has 54 references indexed in Scilit:
- Inside the hologram: reconstructing the bulk observer’s experienceJournal of High Energy Physics, 2022
- A canonical purification for the entanglement wedge cross-sectionJournal of High Energy Physics, 2021
- The Page curve of Hawking radiation from semiclassical geometryJournal of High Energy Physics, 2020
- Pulling out the island with modular flowJournal of High Energy Physics, 2020
- Entanglement wedge reconstruction using the Petz mapJournal of High Energy Physics, 2020
- Inside out: meet the operators inside the horizon. On bulk reconstruction behind causal horizonsJournal of High Energy Physics, 2018
- Diving into traversable wormholesFortschritte der Physik, 2017
- Quantum extremal surfaces: holographic entanglement entropy beyond the classical regimeJournal of High Energy Physics, 2015
- Extremal surface barriersJournal of High Energy Physics, 2014
- Black holes and the butterfly effectJournal of High Energy Physics, 2014