论文标题

在非马克维亚$ n $状态模型中泵送电流

Pumping current in a non-Markovian $N$-state model

论文作者

Paasonen, Ville Matias Mikael, Hayakawa, Hisao

论文摘要

理论上分析了一个定期调制的N-State模型,其动力学受时期卷入的广义主方程的控制。结果表明,这个非马克维亚主方程可以转换为具有较大过渡矩阵的马尔可夫主方程,从而可以更轻松地进行分析。通过关注周期平均泵送电流来研究该模型的行为。在绝热极限中,几何电流是通过分析计算的,并将其与可用于广泛调制频率的数值结果进行了比较。

A periodically modulated N-state model whose dynamics is governed by a time-convoluted generalized master equation is theoretically analyzed. It is shown that this non-Markovian master equation can be converted to a Markovian master equation having a larger transition matrix, which affords easier analysis. The behavior of this model is investigated by focusing on the cycle-averaged pumping current. In the adiabatic limit, the geometrical current is calculated analytically, and compared to numerical results which are available for a wide range of modulation frequencies.

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