title: Breaking time for the quantum chaotic attractor.
abstract: A model of a quantum dissipative system is considered in the regime when the classical limit corresponds to a chaotic attractor, and the breaking time tau(Planck) of the classical-quantum correspondence is obtained. The model describes a periodically kicked harmonic oscillator (or a particle in a constant magnetic field) with a dissipation. Another analog of this problem is the dissipative kicked Harper model. It is shown that in the limit of the so-called dying attractor, the breaking time tau(Planck) can be arbitrarily large.
authors.affiliation: Department of Physics, Technion, Haifa 32000, Israel.
authors.forename: A
authors.initials: A
authors.lastname: Iomin
authors.forename: G M
authors.initials: GM
authors.lastname: Zaslavsky