Semiclassical Study on Tunneling Processes via Complex-Domain Chaos
Chaotic Dynamics
2009-11-10 v1
Abstract
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.
Keywords
Cite
@article{arxiv.nlin/0301004,
title = {Semiclassical Study on Tunneling Processes via Complex-Domain Chaos},
author = {T. Onishi and A. Shudo and K. S. Ikeda and K. Takahashi},
journal= {arXiv preprint arXiv:nlin/0301004},
year = {2009}
}
Comments
26 pages, 28 figures, submitted to Physical Review E