Direct regular-to-chaotic tunneling rates using the fictitious-integrable-system approach

作者:Baecker Arnd; Ketzmerick Roland; Loeck Steffen
来源:Physical Review E, 2010, 82(5): 056208.
DOI:10.1103/PhysRevE.82.056208

摘要

We review the fictitious integrable system approach which predicts dynamical tunneling rates from regular states to the chaotic region in systems with a mixed phase space. It is based on the introduction of a fictitious integrable system that resembles the regular dynamics within the regular island. We focus on the direct regular-to-chaotic tunneling process which dominates if nonlinear resonances within the regular island are not relevant. For quantum maps, billiard systems, and optical microcavities, we find excellent agreement with numerical rates for all regular states.

  • 出版日期2010-11-19