Quantum diffusion in the quasiperiodic kicked rotor

Abstract

We study the mechanisms responsible for quantum diffusion in the quasiperiodic kicked rotor. We report experimental measurements of the diffusion constant on the atomic version of the system and develop a theoretical approach (based on the Floquet theorem) explaining the observations, especially the ``sub-Fourier'' character of the resonances observed in the vicinity of exact periodicity, i.e. the ability of the system to distinguish two neighboring driving frequencies in a time shorter than the inverse of the difference of the two frequencies.

7 pages, 4 figures, accepted for publication in Europhysics Letters

References in corpus (4)

• Experimental evidence of dynamical localization and delocalization in a quasi-periodic driven system
• Observation of sub-Fourier resonances in a quantum-chaotic system
• Signatures of Anderson localization in the ionization rates of periodically driven Rydberg states
• Fractal stabilization of Wannier-Stark resonances

Cited by in corpus (11)

• Periodically driven Quantum Ratchets: Symmetries and Resonances
• Observation of the Anderson Metal-Insulator Transition with Atomic Matter Waves: Theory and Experiment
• Observation of high-order quantum resonances in the kicked rotor
• Reversible Destruction of Dynamical Localization
• Non-exponential decoherence and subdiffusion in atom-optics kicked rotor
• Phase diagram of the Anderson transition with atomic matter waves
• Experimental verification of a one-parameter scaling law for the quantum and "classical" resonances of the atom-optics kicked rotor
• Scaling law and stability for a noisy quantum system
• Classical diffusive dynamics for the quasiperiodic kicked rotor
• Tailored particle current in an optical lattice by a weak time-symmetric harmonic potential
• Chaotic Quantum Decay in Driven Biased Optical Lattices