Chaos attracts tunneling trajectories: A universal mechanism of chaotic tunneling

A. Shudo, Yutaka Ishii, K. S. Ikeda

研究成果: Contribution to journalArticle査読

18 被引用数 (Scopus)

抄録

It is shown that stable and unstable manifolds in the complex plane control dynamical tunneling in mixed systems. Some hypotheses based upon numerical observations combined with recent results in the theory of complex dynamical systems (Bedford and Smillie 1991, 1992) reveal that the stable manifolds in complex space are densely distributed in the set of tunneling orbits which asymptotically contribute to the semiclassical propagator. It is indeed verified that the tunneling amplitude out of the KAM region is well reproduced by the orbits attracted by unstable periodic orbits in the real phase space.

本文言語英語
論文番号50003
ジャーナルEPL
81
5
DOI
出版ステータス出版済み - 3 1 2008

All Science Journal Classification (ASJC) codes

  • 物理学および天文学(全般)

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