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Complex-path prediction of resonance-assisted tunneling in mixed systems

Felix Fritzsch1,2, Arnd Bäcker1,2, Roland Ketzmerick1,2, and Normann Mertig1,2,3

  • 1Technische Universität Dresden, Institut für Theoretische Physik and Center for Dynamics, 01062 Dresden, Germany
  • 2Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Straße 38, 01187 Dresden, Germany
  • 3Department of Physics, Tokyo Metropolitan University, Minami-Osawa, Hachioji 192-0397, Japan

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Phys. Rev. E 95, 020202(R) – Published 27 February, 2017

DOI: https://doi.org/10.1103/PhysRevE.95.020202

Abstract

We present a semiclassical prediction of regular-to-chaotic tunneling in systems with a mixed phase space, including the effect of a nonlinear resonance chain. We identify complex paths for direct and resonance-assisted tunneling in the phase space of an integrable approximation with one nonlinear resonance chain. We evaluate the resonance-assisted contribution analytically and give a prediction based on just a few properties of the classical phase space. For the standard map excellent agreement with numerically determined tunneling rates is observed. The results should similarly apply to ionization rates and quality factors.

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Outline

Information

Phys. Rev. E 95, 020202(R)– Published 27 February, 2017
  • Received 29 September 2016

©2017 American Physical Society

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