# FisMat2017 - Submission - View

**Abstract's title**: Anomalous diffusion in a quantum interacting kicked rotors model

**Affiliation**: SISSA

**Affiliation Address**: via Bonomea 265, I-34136 Trieste (TS), Italy

**Country**: Italy

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.

References

[1] P. Bordia, H. Luschen, U. Schneider, M. Knap, I. Bloch, ArXiv:1607.07868v1

(2016)

[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)