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Bounds on chaos from the eigenstate thermalization hypothesis
Chaitanya Murthy, Mark Srednicki
arXiv: 1906.10808v1 (cond-mat.stat-mech)
4 pages, 0 figures
License: NONEXCLUSIVE-DISTRIB 1.0
Abstract: We show that known bounds on the growth rates of operator complexity and the out-of-time-order four-point correlator in chaotic many-body quantum systems follow 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.
Submitted to arXiv on 26 Jun. 2019