Brodier, Olivier and Schlagheck, Peter and Ullmo, Denis (2002) Resonance-assisted tunneling. ANNALS OF PHYSICS, 300 (1). pp. 88-136. ISSN 0003-4916
Full text not available from this repository.Abstract
We present evidence that tunneling processes in near-integrable systems are enhanced due to the manifestation of nonlinear resonances and their respective island chains in phase space. A semiclassical description of this "resonance-assisted" mechanism is given, which is based on a local perturbative description of the dynamics in the vicinity of the resonances. As an underlying picture, we obtain that the quantum state is coupled, via a succession of classically forbidden transitions across nonlinear resonances, to high excitations within the well, from where tunneling occurs with a rather large rate. The connection between this description and the complex classical structure of the underlying integrable dynamics is furthermore studied, giving ground to the general coherence of the description as well as guidelines for the identification of the dominant tunneling paths. The validity of this mechanism is demonstrated within the kicked Harper model, where good agreement between quantum and semiclassical (resonance-assisted) tunneling rates is found. (C) 2002 Elsevier Science (USA).
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | PHASE-SPACE; AVOIDED CROSSINGS; SEMICLASSICAL THEORY; ANNULAR BILLIARD; MIXED SYSTEMS; CHAOS; SPECTRUM; ATOMS; MODEL; |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 01 Sep 2021 11:30 |
| Last Modified: | 01 Sep 2021 11:30 |
| URI: | https://pred.uni-regensburg.de/id/eprint/39966 |
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