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arXiv 2408.12653cond-mat.dis-nn
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振幅无序的振荡驱动下的量子输运

Quantum transport under oscillatory drive with disordered amplitude

Vatsana Tiwari, Sushanta Dattagupta, Devendra Singh Bhakuni, Auditya Sharma

AI总结:

本研究探讨一维紧束缚链中非相互作用粒子在随机振幅电场下的量子输运动力学,推导相关精确表达式并推广至无序情况,揭示不同电场条件下输运性质的变化规律。

摘要:

我们研究了一维紧束缚链中非相互作用粒子在振幅服从高斯分布的随机电场下的动力学,明确聚焦于量子输运的性质。我们推导了干净极限下概率传播子和均方位移的精确表达式,并使用刘维尔算符方法将其推广到无序情况。分析表明,在随机静态电场存在时,系统遵循扩散输运;但电场强度增加会抑制输运,导致无序诱导局域化。我们进一步将分析扩展到含时无序电场,发现随着电场强度增加,均方位移的动力学偏离抛物线轨迹,这与发生弹道输运的干净极限不同。

英文摘要:

We investigate the dynamics of non-interacting particles in a one-dimensional tight-binding chain in the presence of an electric field with random amplitude drawn from a Gaussian distribution, and explicitly focus on the nature of quantum transport. We derive an exact expression for the probability propagator and the mean-squared displacement in the clean limit and generalize it for the disordered case using the Liouville operator method. Our analysis reveals that in the presence a random static field, the system follows diffusive transport; however, an increase in the field strength causes a suppression in the transport and thus results in disorder-induced localization. We further extend the analysis for a time-dependent disordered electric field and show that the dynamics of mean-squared-displacement deviates from the parabolic path as the field strength increases, unlike the clean limit where ballistic transport occurs.

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。

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