Dynamical Tunneling in Many-Dimensional Chaotic Systems
Chaotic Dynamics
2010-06-04 v1 Disordered Systems and Neural Networks
Mathematical Physics
math.MP
Quantum Physics
Abstract
We investigate dynamical tunneling in many dimensional systems using a quasi-periodically 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 et al., Phys. Rev. Lett. 89, 154101 (2002)], quite commonly appear in many dimensional systems.
Cite
@article{arxiv.1005.4467,
title = {Dynamical Tunneling in Many-Dimensional Chaotic Systems},
author = {Akiyuki Ishikawa and Atushi Tanaka and Akira Shudo},
journal= {arXiv preprint arXiv:1005.4467},
year = {2010}
}
Comments
4 pages, 5 figures