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Main Authors: Sadhasivam, Vijay Ganesh, Hunt, Andrew C., Meuser, Lars, Litman, Yair, Althorpe, Stuart C.
Format: Preprint
Published: 2023
Subjects:
Online Access:https://arxiv.org/abs/2304.05913
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author Sadhasivam, Vijay Ganesh
Hunt, Andrew C.
Meuser, Lars
Litman, Yair
Althorpe, Stuart C.
author_facet Sadhasivam, Vijay Ganesh
Hunt, Andrew C.
Meuser, Lars
Litman, Yair
Althorpe, Stuart C.
contents Quantum scrambling often gives rise to short-time exponential growth in out-of-time-ordered correlators (OTOCs). The scrambling rate over an isolated saddle point at finite temperature is shown here to be reduced by a hierarchy of quenching processes. Two of these appear in the classical limit, where escape from the neighbourhood of the saddle reduces the rate by a factor of two, and thermal fluctuations around the saddle reduce it further; a third process can be explained semiclassically as arising from quantum thermal fluctuations around the saddle, which are also responsible for imposing the Maldacena-Shenker-Stanford bound.
format Preprint
id arxiv_https___arxiv_org_abs_2304_05913
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Thermal quenching of classical and semiclassical scrambling
Sadhasivam, Vijay Ganesh
Hunt, Andrew C.
Meuser, Lars
Litman, Yair
Althorpe, Stuart C.
Chaotic Dynamics
Quantum scrambling often gives rise to short-time exponential growth in out-of-time-ordered correlators (OTOCs). The scrambling rate over an isolated saddle point at finite temperature is shown here to be reduced by a hierarchy of quenching processes. Two of these appear in the classical limit, where escape from the neighbourhood of the saddle reduces the rate by a factor of two, and thermal fluctuations around the saddle reduce it further; a third process can be explained semiclassically as arising from quantum thermal fluctuations around the saddle, which are also responsible for imposing the Maldacena-Shenker-Stanford bound.
title Thermal quenching of classical and semiclassical scrambling
topic Chaotic Dynamics
url https://arxiv.org/abs/2304.05913