Structural change of the tunneling spectrum with perturbation frequency

We investigate in what regime of the frequency the new tunneling mechanism using unstable and stable manifolds of dividing saddle (Takahashi and Ikeda 2008 J. Phys. A: Math. Theor. 41 095101; Takahashi and Ikeda 2009 Phys. Rev. A 79 052114) works as the leading mechanism of multi-dimensional barrier...

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Bibliographic Details
Published in:Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2010-05, Vol.43 (19), p.192001-192001
Main Authors: Takahashi, K, Ikeda, K S
Format: Article
Language:English
Subjects:
Barriers
Exact sciences and technology
Instantons
Intermediate frequencies
Manifolds
Mathematical analysis
Perturbation methods
Physics
Saddles
Tunneling
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Summary:We investigate in what regime of the frequency the new tunneling mechanism using unstable and stable manifolds of dividing saddle (Takahashi and Ikeda 2008 J. Phys. A: Math. Theor. 41 095101; Takahashi and Ikeda 2009 Phys. Rev. A 79 052114) works as the leading mechanism of multi-dimensional barrier tunneling. In the large and small limits of the frequency, the tunneling rate is well evaluated based on the instanton picture. It is in the intermediate frequency range that the new mechanism dominates the tunneling process. The tunneling rate takes the maximum value in this intermediate range.
ISSN:1751-8121
1751-8113
1751-8121
DOI:10.1088/1751-8113/43/19/192001