2018/08/31 by Rodolfo A. Jalabert, Ignacio García-Mata, Diego A. Wisniacki · 1 citation
Physics and Astronomy · #quant-ph #cond-mat.other #nlin.CD
paper · pdf · doi:10.1103/physreve.98.062218
published as Phys. Rev. E 98, 062218 (2018) · 24 pages (one column), 7 figures. Some changes and corrections added. Closest to published version
arxiv created 2019/02/09 · arxiv updated 2019/02/12
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 ℏ2 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.