论文标题

通过有损的一维量子线进行两端运输的比较研究

Comparative study for two-terminal transport through a lossy one-dimensional quantum wire

论文作者

Uchino, Shun

论文摘要

通过实现超电原子气体中耗散量子点接触的实现,我们研究了一个两末端的介质运输系统,其中单粒子损失在一维链中本地存在。通过基尔德斯形式主义的dyson方程方法可以纳入耗散效应,我们揭示了粒子和能量电流的分析结构,其形式表达与某些缺少粒子损失的某些三端系统中的表达相对应。所获得的公式也与非热和三端Landauer-Büttiiker分析一致。当前表达式上的普遍性不论量子统计数字如何,对于以三端运输的方式理解有损耗的两端运输可能是有用的,反之亦然。

Motivated by realization of the dissipative quantum point contact in ultracold atomic gases, we investigate a two-terminal mesoscopic transport system in which a single-particle loss is locally present in a one-dimensional chain. By means of the Dyson equation approach in the Keldysh formalism that can incorporate dissipative effects, we reveal analytic structures of the particle and energy currents whose formal expressions correspond to ones in certain three-terminal systems where the particle loss is absent. The obtained formulas are also consistent with non-hermitian and three-terminal Landauer-Büttiiker analyses. The universality on the current expressions holds regardless of quantum statistics and may be useful for understanding lossy two-terminal transport in terms of three-terminal transport and vice versa.

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