Information Scrambling and Loschmidt Echo
arXiv:1903.02651 · doi:10.1103/PhysRevLett.124.160603
Abstract
We demonstrate analytically and verify numerically that the out-of-time order correlator is given by the thermal average of Loschmidt echo signals. This provides a direct link between the out-of-time-order correlator -- a recently suggested measure of information scrambling in quantum chaotic systems -- and the Loschmidt echo, a well-appreciated familiar diagnostic that captures the dynamical aspect of chaotic behavior in the time domain, and is accessible to experimental studies.
V4: final version for publication; improved presentation; 6+8 pages, 5 figures. V3: a major improvement of an already good paper
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