Decay of Quantum Accelerator Modes

Details Decay of Quantum Accelerator Modes Decay of Quantum Accelerator Modes

2005-12-09

arxiv.org/abs/quant-ph/0512072v2

Phys. Rev. A 73, 052110 (2006)

Physics

Quantum Physics

16 pages, 11 encapsulated postscript figures (figures with a better resolution are available upon request to the authors); add

Scientific paper

10.1103/PhysRevA.73.052110

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.

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