Physics - Mathematical and Theoretical Physics Seminar

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Institute for Condensed Matter Theory Seminar: "Seeing the Outermost Entanglement Wedge"

Event Type
Seminar/Symposium
Sponsor
The Math and Physics Departments
Virtual
wifi event
Date
Oct 22, 2020   1:00 pm  
Speaker
Adam Levine, IAS Princeton
Views
20

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 argue that this cocycle should be thought of as naturally generalizing the non-local coupling introduced in the work of Gao, Jafferis & Wall

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