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APS » Journals » Phys. Rev. Lett. » Volume 104 » Issue 11
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Phys. Rev. Lett. 104, 114101 (2010) [4 pages]

Regular-to-Chaotic Tunneling Rates: From the Quantum to the Semiclassical Regime

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Steffen Löck1, Arnd Bäcker1, Roland Ketzmerick1, and Peter Schlagheck2,3,*
1Institut für Theoretische Physik, Technische Universität Dresden, 01062 Dresden, Germany
2Institut für Theoretische Physik, Universität Regensburg, 93053 Regensburg, Germany
3Division of Mathematical Physics, Lund Institute of Technology, PBox 118, 22100 Lund, Sweden

Received 26 June 2009; published 16 March 2010

We derive a prediction of dynamical tunneling rates from regular to chaotic phase-space regions combining the direct regular-to-chaotic tunneling mechanism in the quantum regime with an improved resonance-assisted tunneling theory in the semiclassical regime. We give a qualitative recipe for identifying the relevance of nonlinear resonances in a given ℏ regime. For systems with one or multiple dominant resonances we find excellent agreement to numerics.

© 2010 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.104.114101
DOI:
10.1103/PhysRevLett.104.114101
PACS:
05.45.Mt, 03.65.Sq, 03.65.Xp

*Present address: Département de Physique, Université de Liège, 4000 Liège, Belgium.

 
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