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Fermionic reaction coordinates and their application to an autonomous Maxwell demon in the strong-coupling regime

机译:Fermionic反应坐标及其在强耦合制度中的自主麦克斯韦恶魔中的应用

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摘要

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.
机译:我们建立了一种理论方法,其超出了弱耦合和马尔科维亚近似,同时使用较大的Hilbert空间中的量子母部方程来剩余直观。该方法适用于所有杂质哈密塔尼亚隧道,隧道耦合到一个(或多个)的自由粉底。该方法的精度原则上不受系统浴耦合强度的限制,而是通过光谱密度的形状,并且特别适用于研究远离宽带极端的情况。类似于振动案例,我们称之为Fermionic反应坐标映射。作为应用,我们考虑由两个库仑耦合量子点制成的热电装置。我们特别注意该设备作为自主麦克斯韦恶魔铲除电压偏压的自主麦克斯韦恶魔挖掘电子的制度。与以前的研究相反,我们不依赖于马尔科维亚弱耦合描述。我们的数值调查结果表明,在强耦合和非市场性的政权中,麦克斯韦恶魔通常注定要消失,除非在小功率输出的狭窄参数制度之外。

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  • 来源
    《Physical review》 |2018年第20期|205405.1-205405.16|共16页
  • 作者单位

    Physics and Materials Science Research Unit University of Luxembourg L-1511 Luxembourg Luxembourg;

    lnstitut fur Theoretische Physik Technische Universitat Berlin Hardenbergstraβe 36 D-10623 Berlin Germany;

    Physics and Materials Science Research Unit University of Luxembourg L-1511 Luxembourg Luxembourg;

    Physics and Materials Science Research Unit University of Luxembourg L-1511 Luxembourg Luxembourg;

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