2011/04/01 by Arnd Bäcker, Roland Ketzmerick, Bäcker, Arnd +3 · 1 citation
Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Quantum chaos and dynamical systems #nlin.CD
paper · pdf · doi:10.48550/arxiv.1104.0559
23 pages, 10 figures. Chapter 6 of the book "Dynamical Tunneling: Theory and Experiment", edited by S. Keshavamurthy and P. Schlagheck [Taylor and Francis CRC (2011)]; abstract included
arxiv created 2011/04/01 · openalex publication_date 2011/04/01 · arxiv updated 2011/04/05 · openalex created_date 2022/10/02 · openalex updated_date 2026/07/28
In systems with a mixed phase space, where regular and chaotic motion coexists, regular states are coupled to the chaotic region by dynamical tunneling. We give an overview on the determination of direct regular-to-chaotic tunneling rates using the fictitious integrable system approach. This approach is applied to different kicked systems, including the standard map, and successfully compared with numerical data. This text corresponds to Chapter 6 of the book: Dynamical Tunneling - Theory and Experiment, edited by S. Keshavamurthy and P. Schlagheck [Taylor and Francis CRC (2011)]. For a more extensive exposition see [Phys. Rev. E 82, 056208 (2010); arXiv:1009.0418v2].