Thermal quenching of classical and semiclassical scrambling

Vijay Ganesh Sadhasivam; Andrew C. Hunt; Lars Meuser; Yair Litman; Stuart C. Althorpe

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arXiv · 2304.05913

Thermal quenching of classical and semiclassical scrambling

Vijay Ganesh Sadhasivam·Andrew C. Hunt·Lars Meuser·Yair Litman·Stuart C. Althorpe

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Abstract

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.

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BibTeX RIS

Vijay Ganesh Sadhasivam, Andrew C. Hunt, Lars Meuser, Yair Litman, Stuart C. Althorpe. 2023-04-12. Thermal quenching of classical and semiclassical scrambling. https://arxiv.org/abs/2304.05913

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