DOI: 10.1209/epl/i2004-10538-1
An intrinsic multi-dimensional mechanism of barrier tunneling
K. Takahashi1 and K. S. Ikeda2, 31 The Physics Laboratories, Kyushu Institute of Technology Kawazu 680-4, Iizuka 820-8502, Japan
2 Department of Physics, Faculty of Science and Engineering, Ritsumeikan University Noji-higashi 1-1-1, Kusatsu 525-8577, Japan
3 Center for Nonlinear Phenomena and Complex Systems Université Libre Bruxelles Campus Plaine, CP 231 B-1050 Brussels, Belgium
received 24 December 2004; accepted in final form 17 May 2005
published online 24 June 2005
Abstract
A new semiclassical mechanism of multi-dimensional tunneling,
which originates in the complexified stable and unstable
manifolds of the unstable saddle (or unstable periodic orbit) on
top of the potential barrier, causes a remarkable plateau-like
structure in the tunneling spectrum. Such a mechanism is very
universal and works when the instanton mechanism breaks down due
to the strong coupling between the degrees of freedom.
05.45.Mt - Quantum chaos; semiclassical methods.
03.65.Xp - Tunneling, traversal time, quantum Zeno dynamics.
03.65.Sq - Semiclassical theories and applications.
© EDP Sciences 2005


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