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

Eltschka, Christopher and Schlagheck, Peter (2005) Resonance- and chaos-assisted tunneling in mixed regular-chaotic systems. PHYSICAL REVIEW LETTERS, 94 (1): 014101. ISSN 0031-9007,

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Abstract

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.

Item Type: Article
Uncontrolled Keywords: ANNULAR BILLIARD; DYNAMICS;
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 31 May 2021 12:46
Last Modified: 31 May 2021 12:46
URI: https://pred.uni-regensburg.de/id/eprint/36593

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