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Decay of Quantum Accelerator Modes

Michael Sheinman·Shmuel Fishman·Italo Guarneri·Laura Rebuzzini
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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.

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Michael Sheinman, Shmuel Fishman, Italo Guarneri, Laura Rebuzzini. 2006-01-09. Decay of Quantum Accelerator Modes. https://doi.org/10.1103/physreva.73.052110

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