2010/05/25 by Akiyuki Ishikawa, Atushi Tanaka, Akira Shudo · 2 citations
Computer Science · Mathematics · Physics and Astronomy · #Chaos control and synchronization #Nonlinear Dynamics and Pattern Formation #Quantum chaos and dynamical systems #cond-mat.dis-nn #math-ph #math.MP #nlin.CD #quant-ph
paper · pdf · doi:10.1103/physrevlett.104.224102
published as Phys. Rev. Lett. 104, 224102 (2010) · 4 pages, 5 figures
arxiv created 2010/05/25 · openalex publication_date 2010/06/01 · arxiv updated 2010/06/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
We investigate dynamical tunneling in many-dimensional systems using a quasiperiodically modulated kicked rotor, and find that the tunneling rate from the torus to the chaotic region is drastically enhanced when the chaotic states become delocalized as a result of the Anderson transition. This result strongly suggests that amphibious states, which were discovered for a one-dimensional kicked rotor with transporting islands [L. Hufnagel, Phys. Rev. Lett. 89, 154101 (2002)], quite commonly appear in many-dimensional systems.