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arXiv · 1808.04383

Semiclassical theory of out-of-time-order correlators for low-dimensional classically chaotic systems

Rodolfo A. Jalabert·Ignacio García-Mata·Diego A. Wisniacki
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Abstract

The out-of-time-order correlator (OTOC), recently analyzed in several physical contexts, is studied for low-dimensional chaotic systems through semiclassical expansions and numerical simulations. The semiclassical expansion for the OTOC yields a leading-order contribution in $\hbar^2$ that is exponentially increasing with time within an intermediate, temperature-dependent, time-window. The growth-rate in such a regime is governed by the Lyapunov exponent of the underlying classical system and scales with the square-root of the temperature.

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Rodolfo A. Jalabert, Ignacio García-Mata, Diego A. Wisniacki. 2019-02-09. Semiclassical theory of out-of-time-order correlators for low-dimensional classically chaotic systems. https://doi.org/10.1103/physreve.98.062218

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