Avoided crossings in driven systems

Abstract

We characterize the avoided crossings in a two-parameter, time-periodic system which has been the basis for a wide variety of experiments. By studying these avoided crossings in the near-integrable regime, we are able to determine scaling laws for the dependence of their characteristic features on the non-integrability parameter. As an application of these results, the influence of avoided crossings on dynamical tunneling is described and applied to the recent realization of multiple-state tunneling in an experimental system.

32 pages, 13 figures; Submitted to Phys. Rev. A, 8/8/2005

References in corpus (3)

• Signatures of chaotic tunnelling
• Floquet Analysis of Atom Optics Tunneling Experiments
• Chaos assisted adiabatic passage

Cited by in corpus (7)

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• Coherent Control of Trapped Bosons
• Level dynamics and avoided level crossings in driven disordered quantum dots
• Quantization of a Free Particle Interacting Linearly with a Harmonic Oscillator