Microstructure in matrix elements

Blommaert, Andreas; Usatyuk, Mykhaylo

doi:10.1007/jhep09(2022)070

Microstructure in matrix elements

Journal Article · Thu Sep 08 00:00:00 EDT 2022 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep09(2022)070· OSTI ID:1976537

^[1]; Usatyuk, Mykhaylo ^[2]

Stanford University, CA (United States); Stanford Univ., CA (United States)
Center for Theoretical Physics and Department of Physics, Berkeley, CA (United States); University of California, Santa Barbara, CA (United States). Kavli Institute for Theoretical Physics

We investigate the simple model of Pennington, Shenker, Stanford and Yang for modeling the density matrix of Hawking radiation, but further include dynamics for EOW branes behind the horizon. This allows interactions that scatter one interior state to another, and also allows EOW loops. At strong coupling, we find that EOW states are no longer random; the ensemble has collapsed, and coupling constants encode the microscopic matrix elements of Hawking radiation. This suggests strong interior dynamics are important for understanding evaporating black holes, without any ensemble average. In this concrete model the density matrix of the radiation deviates from the thermal state, small off-diagonal fluctuations encode equivalences between naively orthogonal states, and bound the entropy from above. For almost evaporated black holes the off-diagonal terms become as large as the diagonal ones, eventually giving a pure state. We also find the unique analytic formula for all Renyi entropies.

View Accepted Manuscript (DOE)

Research Organization:: University of California, Oakland, CA (United States)

Sponsoring Organization:: Belgian American Educational Foundation; European Research Council (ERC); National Science Foundation (NSF); Simons Foundation; Stanford Institute for Theoretical Physics (STIP); USDOE Office of Science (SC)

Grant/Contract Number:: AC02-05CH11231; SC0019380

OSTI ID:: 1976537

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 9 Vol. 2022; ISSN 1029-8479

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

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