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

Loeck, Steffen ; Baecker, Arnd ; Ketzmerick, Roland and Schlagheck, Peter LU (2010) In Physical Review Letters 104(11).
Abstract
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 h regime. For systems with one or multiple dominant resonances we find excellent agreement to numerics.
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author
; ; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Physical Review Letters
volume
104
issue
11
article number
114101
publisher
American Physical Society
external identifiers
  • wos:000275802600021
  • scopus:77949549171
  • pmid:20366479
ISSN
1079-7114
DOI
10.1103/PhysRevLett.104.114101
language
English
LU publication?
yes
additional info
The information about affiliations in this record was updated in December 2015. The record was previously connected to the following departments: Mathematical Physics (Faculty of Technology) (011040002)
id
358bb478-ed93-4da2-9fd9-b911aa799ada (old id 1587308)
date added to LUP
2016-04-01 09:59:08
date last changed
2025-10-14 09:15:47
@article{358bb478-ed93-4da2-9fd9-b911aa799ada,
  abstract     = {{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 h regime. For systems with one or multiple dominant resonances we find excellent agreement to numerics.}},
  author       = {{Loeck, Steffen and Baecker, Arnd and Ketzmerick, Roland and Schlagheck, Peter}},
  issn         = {{1079-7114}},
  language     = {{eng}},
  number       = {{11}},
  publisher    = {{American Physical Society}},
  series       = {{Physical Review Letters}},
  title        = {{Regular-to-Chaotic Tunneling Rates: From the Quantum to the Semiclassical Regime}},
  url          = {{http://dx.doi.org/10.1103/PhysRevLett.104.114101}},
  doi          = {{10.1103/PhysRevLett.104.114101}},
  volume       = {{104}},
  year         = {{2010}},
}