论文标题

多模布朗振荡器:加热运输的精确解决方案

Multimode Brownian oscillators: Exact solutions to heat transport

论文作者

Tong, Xin-Hai, Gong, Hong, Wang, Yao, Xu, Rui-Xue, Yan, YiJing

论文摘要

在这项工作中,我们研究了在不同温度下具有多个储层的非平衡场景中多模的布朗振荡器。为此,提出了一种代数方法。这种方法给出了降低密度运算符的精确时间局部运动方程,我们不仅可以轻松提取还原的系统,而且可以从中提取混合浴动力学信息。发现所得的稳态热电流在数值上与另一种离散的假想频方法一致,然后是Meir-Wingreen的公式。预计这项工作的发展将构成开放量子系统非平衡统计力学的必不可少的组成部分。

In this work, we investigate the multimode Brownian oscillators in nonequilibrium scenarios with multiple reservoirs at different temperatures. For this purpose, an algebraic method is proposed. This approach gives the exact time-local equation of motion for reduced density operator, from which we can easily extract not only the reduced system but also hybrid bath dynamical information. The resulted steady-state heat current is found numerically consistent with another discrete imaginary-frequency method followed by the Meir-Wingreen's formula. It is anticipated that the development in this work would constitute an indispensable component to nonequilibrium statistical mechanics for open quantum systems.

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