PIRSA:18110084

Geometry from Entanglement in Double Trace States

Mintun, E. (2018). Geometry from Entanglement in Double Trace States . Perimeter Institute. https://pirsa.org/18110084

Mintun, Eric. Geometry from Entanglement in Double Trace States . Perimeter Institute, Nov. 12, 2018, https://pirsa.org/18110084 

          @misc{ pirsa_PIRSA:18110084,
            doi = {10.48660/18110084},
            url = {https://pirsa.org/18110084},
            author = {Mintun, Eric},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {Geometry from Entanglement in Double Trace States },
            publisher = {Perimeter Institute},
            year = {2018},
            month = {nov},
            note = {PIRSA:18110084 see, \url{https://pirsa.org}}
          }

Eric Mintun

University of British Columbia

Talk number
PIRSA:18110084
Collection
Talk Type
Subject
Abstract

Bulk coherent states produced by Euclidean CFT sources can be used to study how geometry arises from entanglement: when these states obey the Ryu-Takayanagi formula, the linearized Einstein equations hold in the bulk without assuming the complete AdS/CFT correspondence.  However, the Faulkner-Lewkowycz-Maldacena bulk entanglement term that corrects the RT formula does not play a role in these previous studies, since to leading order coherent states have the same entanglement entropy as the vacuum.  We study states CFT states created by Euclidean, bilocal, double trace sources, which produce bulk squeezed states.  We consider possible modifications to RT and study divergences in the perturbative expansion that occur for certain choices of source.  We work towards determining constraints on the bulk geometry and state that arise from requiring FLM, akin to the linearized Einstein equations that arose for coherent states.