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Bounds on Chaos from the Eigenstate Thermalization Hypothesis

2019/06/30 by Chaitanya Murthy, Mark Srednicki · 3 citations
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Chaotic #Cold Atom Physics and Bose-Einstein Condensates #Computer science #Eigenvalues and eigenvectors #Matrix (chemical analysis) #Operator (biology) #Physics #Quantum #Quantum chaos #Quantum dynamics #Quantum many-body systems #Quantum mechanics #Statistical physics #Theoretical physics #Thermalisation #cond-mat.stat-mech #cond-mat.str-el #hep-th #nlin.CD #quant-ph

paper · pdf · doi:10.1103/physrevlett.123.230606

published as Phys. Rev. Lett. 123, 230606 (2019) · 4 pages, 0 figures. Revised in response to reviewer comments (results unchanged, but expanded and clarified discussion of several points). Accepted for publication in Physical Review Letters

arxiv created 2019/11/05 · openalex publication_date 2019/12/03 · arxiv updated 2019/12/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

Citations

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