FisMat2017 - Submission - View

Abstract's title: Anomalous diffusion in a quantum interacting kicked rotors model
Submitting author: Simone Notarnicola
Affiliation: SISSA
Affiliation Address: via Bonomea 265, I-34136 Trieste (TS), Italy
Country: Italy
Oral presentation/Poster (Author's request): Oral presentation
Other authors and affiliations: Angelo Russomanno (Scuola Normale Superiore, ICTP), Fernando Iemini (ICTP), Davide Rossini (Università di Pisa), Rosario Fazio (ICTP, NEST - Scuola Normale Superiore, Istituto Nanoscienze - CNR), Alessandro Silva (SISSA)

Out of equilibrium many body systems are a powerful tool to investigate complex
quantum dynamics: indeed they offer the possibility to observe, in quantum systems,
dynamical behaviours and phases of matter which do not have a classical
counterpart [1,2].
This scenario is even more interesting when classical systems showing a chaotic
behaviour are considered. The model I consider in my work describes a collection of
interacting quantum kicked rotors, which namely is the many-body counterpart of the
well-known single kicked rotor model [3,4]. This last model shows a chaotic behaviour
in the classical case (linear growth of energy for kicks' amplitude larger than a critical
value) and dynamical localization in the quantum one.
I consider the infinite-dimensional limit of the many-body model. I remarkably find a
subdiffusive growth of the kinetic energy. This behaviour is different from the
localization observed in the single quantum kicked rotor and also different from the
classical interacting model, in which the energy always grows linearly in time.

[1] P. Bordia, H. Luschen, U. Schneider, M. Knap, I. Bloch, ArXiv:1607.07868v1
[2] S. A. Weidinger, M. Knap, ArXiv:1609.09089 (2016)
[3] G. Casati, B.V. Chirikov, J. Ford and F.M. Izrailev, "Stochastic Behaviour of
Classical and Quantum Hamiltonian Systems", Lecture Notes
in Physics 93, 334 (1979)
[4] D.R. Grempel, R.E. Prange and S. Fishman, Phys. Rev. A 29, 1639 (1984)