INSTITUTO DE INVESTIGACIONES FISICAS DE MAR DEL PLATA
Unidad Ejecutora - UE
Semiclassical theory of out-of-time-order correlators for low-dimensional classically chaotic systems
JALABERT, RODOLFO A.; GARCÍA-MATA, IGNACIO; WISNIACKI, DIEGO A.
Physical Review E
American Physical Society
Año: 2018 vol. 98
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 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.