Quantum scaling laws in the onset of dynamical delocalization

Abstract

We study the destruction of dynamical localization, experimentally observed in an atomic realization of the kicked rotor, by a deterministic Hamiltonian perturbation, with a temporal periodicity incommensurate with the principal driving. We show that the destruction is gradual, with well defined scaling laws for the various classical and quantum parameters, in sharp contrast with predictions based on the analogy with Anderson localization.

3 pages, revtex4

References in corpus (2)

• Decoherence and the Loschmidt echo
• $2\delta$-Kicked Quantum Rotors: Localization and `Critical' Statistics

Cited by in corpus (9)

• Observation of the Anderson Metal-Insulator Transition with Atomic Matter Waves: Theory and Experiment
• Quantum simulation of disordered systems with cold atoms
• Anderson transition in a three dimensional kicked rotor
• Kicked rotor quantum resonances in position space
• Scaling law and stability for a noisy quantum system
• Classical diffusive dynamics for the quasiperiodic kicked rotor
• Suppression of decoherence effects in the quantum kicked rotor
• Kicked-rotor quantum resonances in position space: Application to situations of experimental interest
• Decoherence effects in the dynamics of interacting ultracold bosons in disordered lattices