title: Irreversibility in quantum maps with decoherence.
abstract: The Boltzmann echo (BE) is a measure of irreversibility and sensitivity to perturbations for non-isolated systems. Recently, different regimes of this quantity were described for chaotic systems. There is a perturbative regime where the BE decays with a rate given by the sum of a term depending on the accuracy with which the system is time reversed and a term depending on the coupling between the system and the environment. In addition, a parameter-independent regime, characterized by the classical Lyapunov exponent, is expected. In this paper, we study the behaviour of the BE in hyperbolic maps that are in contact with different environments. We analyse the emergence of the different regimes and show that the behaviour of the decay rate of the BE is strongly dependent on the type of environment.
authors.affiliation: Departamento de Física, Laboratorio TANDAR, Comisión Nacional de Energía Atómica, Av. del Libertador 8250, C1429BNP Buenos Aires, Argentina. garciama@tandar.cnea.gov.ar
authors.forename: Ignacio
authors.initials: I
authors.lastname: García-Mata
authors.forename: Bernardo
authors.initials: B
authors.lastname: Casabone
authors.forename: Diego A
authors.initials: DA
authors.lastname: Wisniacki