Resonance- and chaos-assisted tunneling in mixed regular-chaotic systems

Details Resonance- and chaos-assisted tunneling in mixed regular-chaotic systems Resonance- and chaos-assisted tunneling in mixed regular-chaotic systems

2004-09-08

arxiv.org/abs/nlin/0409016v1

Nonlinear Sciences

Chaotic Dynamics

4 pages, 2 figures

Scientific paper

10.1103/PhysRevLett.94.014101

We present evidence that nonlinear resonances govern the tunneling process between symmetry-related islands of regular motion in mixed regular-chaotic systems.In a similar way as for near-integrable tunneling, such resonances induce couplings between regular states within the islands and states that are supported by the chaotic sea. On the basis of this mechanism, we derive a semiclassical expression for the average tunneling rate, which yields good agreement in comparison with the exact quantum tunneling rates calculated for the kicked rotor and the kicked Harper.

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