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Effect of noise on quantum transport of a charged particle in a tight-binding lattice

机译:噪声对紧密结合晶格中带电粒子量子传输的影响

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摘要

We investigate diffusion of a quantum charged particle in a tight-binding lattice (TBL) under fluctuating noisy electric fields. Several closed-form expressions such as that of probability propagator, average current, and mean-squared displacement are derived. The particular effect of Gaussian noise in a ID TBL is studied in detail and a comparison is made with the case of a telegraph noise. The Gaussian white noise and telegraph noise show up in different manifestations in the underdamped regime. On the contrary, when relaxation is rapid the noisy field averages out to zero yielding delocalization for both Gaussian and telegraphic noisy electric fields. Depending on the strength of noise and the external field one can observe different current characteristics.
机译:我们研究了在波动的嘈杂电场下在紧密结合的晶格(TBL)中的量子带电粒子的扩散。推导出几种闭合形式的表达式,例如概率传播者,平均电流和平均平均位移。详细研究了高斯噪声在ID TBL中的特定效果,并用电报噪声的情况进行比较。高斯白噪声和电报噪音显示出欠局制度的不同表现形式。相反,当放松是快速的,嘈杂的场平均为高斯和电汇噪声电场的零产生截移。根据噪声的强度和外部场的不同,可以观察不同的电流特性。

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  • 来源
    《Physical review》 |2020年第18期|184308.1-184308.11|共11页
  • 作者单位

    SBS I. I. T. Bhubaneswar Argul Jatni Khurda Odisha 752050 India;

    Bose Institute Kolkata 700054 India;

    SBS I. I. T. Bhubaneswar Argul Jatni Khurda Odisha 752050 India;

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