arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 0903.4632quant-ph
收藏

两耦合受激转子系统的量子局域化

Quantum Localization for Two Coupled Kicked Rotors

Borzumehr Toloui, Leslie E. Ballentine

摘要:

我们研究了一个系统的两个耦合踢转子,经典和量子力学,为广泛的耦合参数。这是由两个已发表的报告,其中一个报告量子局域化,而另一个报告扩散的动机。经典系统是混沌的,并表现出正常的扩散行为。在量子系统中,我们发现了不同的制度,这取决于耦合的强度。对于弱耦合,我们发现量子局域化类似于单踢转子所表现出的。对于强耦合,我们发现了准扩散增长的动量分布的宽度,其中的表观扩散系数随时间的增加而减小。在这种状态下的行为可以用二维无序晶格弱定域化的标度理论来描述。弱耦合和强耦合区域被复杂的中间行为区域分开。因此,我们解释了明显的矛盾,在文献中是由于性质不同的制度的行为,我们称之为强和弱量子局域化。

英文摘要:

We study a system of two coupled kicked rotors, both classically and quantum mechanically, for a wide range of coupling parameters. This was motivated by two published reports, one of which reported quantum localization, while the other reported diffusion. The classical systems are chaotic, and exhibit normal diffusive behavior. In the quantum systems, we found different regimes, depending on the strength of the coupling. For weak coupling, we found quantum localization similar to that exhibited by single kicked rotors. For strong coupling, we found a quasi-diffusive growth of the width of the momentum distribution, in which the apparent diffusion coefficient decreased as time increased. The behavior in this regime can be described by the scaling theory of weak localization for two-dimensional disordered lattices. The weak and strong coupling regimes are separated by a regime of complex intermediate behavior. Thus we explain the apparent contradiction in the literature as being due to qualitatively different regimes of behavior, which we call strong and weak quantum localization.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑