非理想无扰量子马达的动力学和退相干
Dynamics and decoherence in nonideal Thouless quantum motors
摘要:
直流电流驱动的绝热量子电机(AQM)的不同建议最近引起了相当大的兴趣。然而,研究的系统往往是基于高度理想的条件下,忽略了环境的简化模型。在这里,我们调查的性能(动态,效率和输出功率)的原型AQM,无刷电机。为了包括这种类型的AQMs的周围环境的影响,我们扩展了我们以前的理论的退相干电流诱导力(CIF)占空间分布的退相干过程。我们提供的解析表达式,占退相干的CIF,摩擦系数和自关联函数的CIF。我们证明了该模型是物理上一致的,我们发现,退相干大大降低了电机的效率,主要是由于电导的增加,而其对输出功率的影响是没有太大的相关性。退相干对电流感生摩擦的影响取决于系统的长度,减小小系统的摩擦,而增加长系统的摩擦。最后,我们发现,在系统的边界处的电子的反射诱导额外的保守力,影响电动机的动力学。特别地,这导致系统的滞后和电压相关的切换。
英文摘要:
Different proposals for adiabatic quantum motors (AQMs) driven by DC currents have recently attracted considerable interest. However, the systems studied are often based on simplified models with highly ideal conditions where the environment is neglected. Here, we investigate the performance (dynamics, efficiency, and output power) of a prototypical AQM, the Thouless motor. To include the effect of the surroundings on this type of AQMs, we extended our previous theory of decoherence in current-induced forces (CIFs) to account for spatially distributed decoherent processes. We provide analytical expressions that account for decoherence in CIFs, friction coefficients and the self-correlation functions of the CIFs. We prove that the model is thermodynamically consistent and we find that decoherence drastically reduces the efficiency of the motor mainly due to the increase in conductance, while its effect on the output power is not much relevant. The effect of decoherence on the current-induced friction depends on the length of the system, reducing the friction for small systems while increasing it for long ones. Finally, we find that reflections of the electrons at the boundary of the system induce additional conservative forces that affect the dynamics of the motor. In particular, this results in the hysteresis of the system and a voltage dependent switching.
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