Regular-to-chaotic tunneling rates using a fictitious integrable system.

Phys Rev Lett

Institut für Theoretische Physik, Technische Universität Dresden, 01062 Dresden, Germany.

Published: March 2008

We derive a formula predicting dynamical tunneling rates from regular states to the chaotic sea in systems with a mixed phase space. Our approach is based on the introduction of a fictitious integrable system that resembles the regular dynamics within the island. For the standard map and other kicked systems we find agreement with numerical results for all regular states in a regime where resonance-assisted tunneling is not relevant.

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http://dx.doi.org/10.1103/PhysRevLett.100.104101DOI Listing

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