Fermionic reaction coordinates and their application to an autonomous Maxwell demon in the strong coupling regime
Fermionic reaction coordinates and their application to an autonomous Maxwell demon in the strong coupling regime
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DOI：
10.1103/physrevb.97.205405
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发表时间：
2017-11
影响因子：
3.7
通讯作者：
P. Strasberg;G. Schaller;T. Schmidt;M. Esposito
中科院分区：
文献类型：
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作者：
P. Strasberg;G. Schaller;T. Schmidt;M. Esposito
我们建立了一种理论方法，它超越了弱耦合和马尔可夫近似，同时保持直观，使用一个更大的希尔伯特空间中的量子主方程。该方法适用于与一个（或多个）自由费米子槽耦合的所有杂质哈密顿量。该方法的精度原则上不受系统池耦合强度的限制，而是受谱密度形状的限制，特别适合研究远离宽带限制的情况。与玻色子的情况类似，我们称之为费米子反应坐标映射。作为一个应用，我们考虑了一个由两个库仑耦合量子点组成的热电器件。我们特别关注该装置作为一个自主麦克斯韦妖运行的状态，由于信息的作用，电子被排除在电压偏置之外。与以前的研究相反，我们不依赖于马尔可夫弱耦合描述。数值结果表明，在强耦合和非马尔可夫性条件下，除了在小功率输出的窄参数条件下，麦克斯韦妖往往注定会消失。
We establish a theoretical method which goes beyond the weak-coupling and Markovian approximations while remaining intuitive, using a quantum master equation in a larger Hilbert space. The method is applicable to all impurity Hamiltonians tunnel coupled to one (or multiple) baths of free fermions. The accuracy of the method is in principle not limited by the system-bath coupling strength, but rather by the shape of the spectral density and it is especially suited to study situations far away from the wide-band limit. In analogy to the bosonic case, we call it the fermionic reaction coordinate mapping. As an application, we consider a thermoelectric device made of two Coulomb-coupled quantum dots. We pay particular attention to the regime where this device operates as an autonomous Maxwell demon shoveling electrons against the voltage bias thanks to information. Contrary to previous studies, we do not rely on a Markovian weak-coupling description. Our numerical findings reveal that in the regime of strong coupling and non-Markovianity, the Maxwell demon is often doomed to disappear except in a narrow parameter regime of small power output.