Signatures of chaotic tunnelling

Abstract

Recent experiments with cold atoms provide a significant step toward a better understanding of tunnelling when irregular dynamics is present at the classical level. In this paper, we lay out numerical studies which shed light on the previous experiments, help to clarify the underlying physics and have the ambition to be guidelines for future experiments.

11 pages, 9 figures, submitted to Phys. Rev. E. Figures of better quality can be found at http://www.phys.univ-tours.fr/~mouchet/

References in corpus (2)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Floquet Analysis of Atom Optics Tunneling Experiments

Cited by in corpus (17)

• Dynamical tunneling in molecules: Quantum routes to energy flow
• Direct regular-to-chaotic tunneling rates using the fictitious integrable system approach
• Chaos-assisted tunneling resonances in a synthetic Floquet superlattice
• Influence of classical resonances on chaotic tunnelling
• Semiclassical Study on Tunneling Processes via Complex-Domain Chaos
• On dynamical tunneling and classical resonances
• Analysis of dynamical tunnelling experiments with a Bose-Einstein condensate
• Macroscopic Quantum Self-Trapping in Dynamical Tunnelling
• Dynamical tunnelling with ultracold atoms in magnetic microtraps
• Chaos-Assisted Long-Range Tunneling for Quantum Simulation
• Routes towards the experimental observation of the large fluctuations due to chaos assisted tunneling effects with cold atoms
• A realistic example of chaotic tunneling: The hydrogen atom in parallel static electric and magnetic fields
• Avoided crossings in driven systems
• Effects of a nonlinear perturbation on dynamical tunneling in cold atoms
• Chaos-assisted tunneling in the presence of Anderson localization
• Dynamical tunnelling of a Nano-mechanical Oscillator
• Resonance- and Chaos-Assisted Tunneling