量子随机电阻器的半经典理论
Semi-classical theory of quantum stochastic resistors
AI总结：
本文提出半经典模型研究低维费米子晶格在量子随机噪声下的扩散输运，将精确结果扩展至梯形结构并解释电导的化学势依赖及横向退相不敏感性。
摘要：
我们构建了一个半经典模型，用于描述低维费米子晶格在外部量子随机噪声影响下的输运性质。这些系统表现为量子随机电阻器，其中体粒子输运是扩散性的，并遵循欧姆/菲克定律。在本文中，我们将以往的精确研究从一维极限扩展到梯形几何结构，并探讨了与从固态到冷原子等不同物理系统相关的各种退相机制。我们发现，这些系统的电导对储层化学势存在非平凡依赖。随后，我们引入一种半经典方法，该方法与精确数值解高度吻合，并为量子随机电阻器中的输运提供了直观且更简单的解释。此外，我们发现，尽管系统会达到不同的稳态，但量子梯形结构的电导对沿输运横向的退相过程的相干性并不敏感。最后，我们讨论了受退相影响的耗散引线情形，推导了其有效表现为系统中粒子的马尔可夫注入器所需满足的条件。
英文摘要：
We devise a semi-classical model to describe the transport properties of low-dimensional fermionic lattices under the influence of external quantum stochastic noise. These systems behave as quantum stochastic resistors, where the bulk particle transport is diffusive and obeys the Ohm/Fick's law. Here, we extend previous exact studies beyond the one-dimensional limit to ladder geometries and explore different dephasing mechanisms that are relevant to different physical systems, from solid-state to cold atoms. We find a non-trivial dependence of the conductance of these systems on the chemical potential of the reservoirs. We then introduce a semi-classical approach that is in good agreement with the exact numerical solution and provides an intuitive and simpler interpretation of transport in quantum stochastic resistors. Moreover, we find that the conductance of quantum ladders is insensitive to the coherence of the dephasing process along the direction transverse to transport, despite the fact that the system reaches different stationary states. We conclude by discussing the case of dissipative leads affected by dephasing, deriving the conditions for which they effectively behave as Markovian injectors of particles in the system.
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