Semiclassical Study on Tunneling Processes via Complex-Domain Chaos

Details Semiclassical Study on Tunneling Processes via Complex-Domain Chaos Semiclassical Study on Tunneling Processes via Complex-Domain Chaos

2003-01-05

arxiv.org/abs/nlin/0301004v1

Nonlinear Sciences

Chaotic Dynamics

26 pages, 28 figures, submitted to Physical Review E

Scientific paper

10.1103/PhysRevE.68.056211

We investigate the semiclassical mechanism of tunneling process in non-integrable systems. The significant role of complex-phase-space chaos in the description of the tunneling process is elucidated by studying a simple scattering map model. Behaviors of tunneling orbits are encoded into symbolic sequences based on the structure of complex homoclinic tanglement. By means of the symbolic coding, the phase space itineraries of tunneling orbits are related with the amounts of imaginary parts of actions gained by the orbits, so that the systematic search of significant tunneling orbits becomes possible.

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