双色和多色驱动下有偏周期结构中的量子输运和局域化
Quantum transport and localization in biased periodic structures under bi- and polychromatic driving
摘要：
本文研究了一维周期势（格）中的量子粒子在静态时间周期场作用下的动力学。分析是基于最近邻紧束缚模型，它允许一个方便的封闭形式描述的广义贝塞尔函数的输运性质。双色驱动的情况下进行了详细的分析和复杂的运输和本地化现象取决于两个激励频率和布洛赫频率的可通信性进行了讨论。多色驱动的情况下，也进行了讨论，特别是翻转的静态字段，即矩形脉冲，它可以支持一个几乎无色散的运输与速度无关的字段振幅。
英文摘要：
We consider the dynamics of a quantum particle in a one-dimensional periodic potential (lattice) under the action of a static and time-periodic field. The analysis is based on a nearest-neighbor tight-binding model which allows a convenient closed form description of the transport properties in terms of generalized Bessel functions. The case of bichromatic driving is analyzed in detail and the intricate transport and localization phenomena depending on the communicability of the two excitation frequencies and the Bloch frequency are discussed. The case of polychromatic driving is also discussed, in particular for flipped static fields, i.e. rectangular pulses, which can support an almost dispersionless transport with a velocity independent of the field amplitude.
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