ICTS:29412

Video URL

Minimal Area from Entangled Matrices

Minimal Area from Entangled Matrices

(2024). Minimal Area from Entangled Matrices. SciVideos. https://youtu.be/g0KXLvkP3ic

Minimal Area from Entangled Matrices. SciVideos, Aug. 26, 2024, https://youtu.be/g0KXLvkP3ic 

          @misc{ scivideos_ICTS:29412,
            doi = {},
            url = {https://youtu.be/g0KXLvkP3ic},
            author = {},
            keywords = {},
            language = {en},
            title = {Minimal Area from Entangled Matrices},
            publisher = {},
            year = {2024},
            month = {aug},
            note = {ICTS:29412 see, \url{https://scivideos.org/icts-tifr/29412}}
          }
Ronak Soni
Talk numberICTS:29412
Source RepositoryICTS-TIFR
Source EventQuantum Information, Quantum Field Theory and Gravity
Collection

Abstract

We define a relational notion of a subsystem in theories of matrix quantum mechanics and show how the corresponding entanglement entropy can be given as a minimisation, exhibiting many similarities to the Ryu-Takayanagi formula. Our construction brings together the physics of entanglement edge modes, noncommutative geometry and quantum internal reference frames, to define a subsystem whose reduced state is (approximately) an incoherent sum of density matrices, corresponding to distinct spatial subregions. We show that in states where geometry emerges from semiclassical matrices, this sum is dominated by the subregion with minimal boundary area. As in the Ryu-Takayanagi formula, it is the computation of the entanglement that determines the subregion. We find that coarse-graining is essential in our microscopic derivation, in order to control the proliferation of highly curved and disconnected non-geometric subregions in the sum.