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

Research output: Contribution to journalResearch articleContributedpeer-review

Contributors

Abstract

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.

Details

Original languageGerman
Number of pages4
JournalPhysical review letters
Volume100
Issue number10
Publication statusPublished - 14 Mar 2008
Peer-reviewedYes

External IDs

PubMed 18352192
Scopus 40849102645
ORCID /0000-0002-7017-3738/work/146646046

Keywords

Keywords

  • Quantum maps, Phase-space