title: Decoherence, relaxation, and chaos in a kicked-spin ensemble.
abstract: We study the dynamics of a quantum spin ensemble controlled by trains of ultrashort pulses. To model disturbances of the kicks, we consider that the spins are submitted to different kick trains which follow regular, random, stochastic, or chaotic dynamical processes. These are described by dynamical systems on a torus. We study the quantum decoherence and the population relaxation of the spin ensemble induced by these classical dynamical processes disturbing the kick trains. For chaotic kick trains we show that the decoherence and the relaxation processes exhibit a signature of chaos directly related to the Lyapunov exponents of the dynamical system. This signature is a horizon of coherence, i.e., a preliminary duration without decoherence followed by a rapid decoherence process.
authors.affiliation: Institut UTINAM (CNRS UMR 6213, Université de Franche-Comté, Observatoire de Besançon), 41bis Avenue de l'Observatoire, BP1615, 25010 Besançon cedex, France.
authors.forename: David
authors.initials: D
authors.lastname: Viennot
authors.forename: Lucile
authors.initials: L
authors.lastname: Aubourg