title: Chaos driven by interfering memory.
abstract: The transmission of information can couple two entities of very different nature, one of them serving as a memory for the other. Here we study the situation in which information is stored in a wave field and serves as a memory that pilots the dynamics of a particle. Such a system can be implemented by a bouncing drop generating surface waves sustained by a parametric forcing. The motion of the resulting "walker" when confined in a harmonic potential well is generally disordered. Here we show that these trajectories correspond to chaotic regimes characterized by intermittent transitions between a discrete set of states. At any given time, the system is in one of these states characterized by a double quantization of size and angular momentum. A low dimensional intermittency determines their respective probabilities. They thus form an eigenstate basis of decomposition for what would be observed as a superposition of states if all measurements were intrusive.
authors.affiliation: Laboratoire Matière et Systèmes Complexes, Université Paris Diderot, CNRS-UMR 7057, Bâtiment Condorcet, 10 rue Alice Domon et Léonie Duquet, 75013 Paris, France, EU.
authors.forename: S
authors.initials: S
authors.lastname: Perrard
authors.affiliation: Institut Langevin, ESPCI ParisTech, CNRS-UMR 7587, 1 rue Jussieu, 75005 Paris Cedex 05, France, EU.
authors.forename: M
authors.initials: M
authors.lastname: Labousse
authors.affiliation: Institut Langevin, ESPCI ParisTech, CNRS-UMR 7587, 1 rue Jussieu, 75005 Paris Cedex 05, France, EU.
authors.forename: E
authors.initials: E
authors.lastname: Fort
authors.affiliation: Laboratoire Matière et Systèmes Complexes, Université Paris Diderot, CNRS-UMR 7057, Bâtiment Condorcet, 10 rue Alice Domon et Léonie Duquet, 75013 Paris, France, EU.
authors.forename: Y
authors.initials: Y
authors.lastname: Couder