Floquet Analysis of Atom Optics Tunneling Experiments

Abstract

Dynamical tunneling has been observed in atom optics experiments by two groups. We show that the experimental results are extremely well described by time-periodic Hamiltonians with momentum quantized in units of the atomic recoil. The observed tunneling has a well defined period when only two Floquet states dominate the dynamics. Beat frequencies are observed when three Floquet states dominate. We find frequencies which match those observed in both experiments. The dynamical origin of the dominant Floquet states is identified.

Accepted in Physical Review A

References in corpus (2)

• Chaos assisted tunnelling with cold atoms
• Changes in Floquet state structure at avoided crossings: delocalization and harmonic generation

Cited by in corpus (8)

• Signatures of chaotic tunnelling
• Analysis of dynamical tunnelling experiments with a Bose-Einstein condensate
• Dynamical tunnelling with ultracold atoms in magnetic microtraps
• Chaos assisted adiabatic passage
• Avoided crossings in driven systems
• Effects of a nonlinear perturbation on dynamical tunneling in cold atoms
• Robust Dynamical Recurrences Based on Floquet Spectrum
• Cold Atoms in Driven Optical Lattices