Bounds on chaos from the eigenstate thermalization hypothesis
arXiv:1906.10808 · doi:10.1103/PhysRevLett.123.230606
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.
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