使用运动方程分层法研究库珀对分裂器中的量子输运
Quantum transport in Cooper pair splitters using hierarchical equations of motion
AI总结：
研究超越弱耦合和马尔可夫极限的库珀对分裂器电荷输运，采用运动方程分层法，计算不同条件下电流，结果与测量电流定量一致，还能解释热电效应，为描述非平衡量子输运提供有用框架。
AI中文摘要：
我们研究了超越弱耦合和马尔可夫极限的库珀对分裂器中的电荷输运。为此，我们采用运动方程分层法（HEOM），它能捕捉与引线强耦合、非微扰相互作用以及有限电压和温度差的综合效应。在此框架内，我们计算了不同电压和温度配置下，作为库珀对分裂器能级位置函数的电流。在大偏置 regime 中，我们的结果简化为从马尔可夫林德布拉德方程得到的解析表达式。然而，最近的实验是在有限电压或温度差下进行的，马尔可夫描述可能不够。在这种 regime 中，HEOM 与测量电流产生定量一致性。我们还可以解释在库珀对分裂器中实验观察到的热电效应。我们的结果表明，HEOM 为描述库珀对分裂器及相关混合器件中的非平衡量子输运提供了一个有用的框架。
英文摘要：
We investigate charge transport in Cooper pair splitters beyond the weak-coupling and Markovian limits. To this end, we employ hierarchical equations of motion (HEOM), which can capture the combined effects of strong coupling to the leads, nonperturbative interactions, and finite voltage and temperature differences. Within this framework, we compute the electric currents as functions of the level positions of a Cooper pair splitter for various voltage and temperature configurations. In the large-bias regime, our results reduce to analytical expressions obtained from a Markovian Lindblad equation. However, recent experiments were conducted with finite voltage or temperature differences, where a Markovian description may not suffice. In this regime, HEOM yield quantitative agreement with the measured currents. We can also account for an experimentally observed thermoelectric effect in Cooper pair splitters. Our results show that HEOM provide a useful framework for describing nonequilibrium quantum transport in Cooper pair splitters and related hybrid devices.
