Mouchet, Amaury and Eltschka, Christopher and Schlagheck, Peter (2006) Influence of classical resonances on chaotic tunneling. PHYSICAL REVIEW E, 74 (2): 026211. ISSN 1539-3755,
Full text not available from this repository.Abstract
Dynamical tunneling between symmetry-related stable modes is studied in the periodically driven pendulum. We present strong evidence that the tunneling process is governed by nonlinear resonances that manifest within the regular phase-space islands on which the stable modes are localized. By means of a quantitative numerical study of the corresponding Floquet problem, we identify the trace of such resonances not only in the level splittings between near-degenerate quantum states, where they lead to prominent plateau structures, but also in overlap matrix elements of the Floquet eigenstates, which reveal characteristic sequences of avoided crossings in the Floquet spectrum. The semiclassical theory of resonance-assisted tunneling yields good overall agreement with the quantum-tunneling rates, and indicates that partial barriers within the chaos might play a prominent role.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ANNULAR BILLIARD; MIXED SYSTEMS; GHOST ORBITS; QUANTUM; DYNAMICS; OSCILLATOR; TRANSPORT; |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics > Chair Professor Richter > Group Klaus Richter |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 09 Feb 2021 13:37 |
| Last Modified: | 09 Feb 2021 13:37 |
| URI: | https://pred.uni-regensburg.de/id/eprint/34267 |
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