Decay of Quantum Accelerator Modes
Abstract
Experimentally observable Quantum Accelerator Modes are used as a test case for the study of some general aspects of quantum decay from classical stable islands immersed in a chaotic sea. The modes are shown to correspond to metastable states, analogous to the Wannier-Stark resonances. Different regimes of tunneling, marked by different quantitative dependence of the lifetimes on 1/hbar, are identified, depending on the resolution of KAM substructures that is achieved on the scale of hbar. The theory of Resonance Assisted Tunneling introduced by Brodier, Schlagheck, and Ullmo [9], is revisited, and found to well describe decay whenever applicable.
Keywords
Cite
@article{arxiv.quant-ph/0512072,
title = {Decay of Quantum Accelerator Modes},
author = {Michael Sheinman and Shmuel Fishman and Italo Guarneri and Laura Rebuzzini},
journal= {arXiv preprint arXiv:quant-ph/0512072},
year = {2009}
}
Comments
16 pages, 11 encapsulated postscript figures (figures with a better resolution are available upon request to the authors); added reference for section 1