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arXiv quant-ph/0512072quant-phcond-mat.stat-mechnlin.CD
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量子加速器模的衰变

Decay of Quantum Accelerator Modes

Michael Sheinman, Shmuel Fishman, Italo Guarneri, Laura Rebuzzini

摘要:

实验上可观察到的量子加速器模式被用来作为一个测试的情况下,从经典的稳定岛屿沉浸在一个混乱的海洋量子衰变的研究的一些一般方面。所示的模式对应于亚稳态,类似于Wannier-Stark共振。不同的制度的隧道,标志着不同的定量依赖的寿命1/hbar,被确定,取决于分辨率的KAM子结构上实现的尺度hbar。由Brodier、Schlagheck和Ullmo [9]引入的共振辅助调谐理论被重新审视,并且发现只要适用就能很好地描述衰变。

英文摘要:

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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