Bounds on Chaos from the Eigenstate Thermalization Hypothesis

Chaitanya Murthy and Mark Srednicki
Phys. Rev. Lett. 123, 230606 – Published 3 December 2019

Abstract

We show that the known bound on the growth rate of the out-of-time-order four-point correlator in chaotic many-body quantum systems follows directly from the general structure of operator matrix elements in systems that obey the eigenstate thermalization hypothesis. This ties together two key paradigms of thermal behavior in isolated many-body quantum systems.

  • Received 27 June 2019

DOI:https://doi.org/10.1103/PhysRevLett.123.230606

© 2019 American Physical Society

Physics Subject Headings (PhySH)

Statistical Physics & Thermodynamics

Authors & Affiliations

Chaitanya Murthy* and Mark Srednicki

  • Department of Physics, University of California, Santa Barbara, California 93106, USA

  • *cm@physics.ucsb.edu
  • mark@physics.ucsb.edu

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Issue

Vol. 123, Iss. 23 — 6 December 2019

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