紧束缚链连接到马尔可夫储库的量子输运
Quantum transport along a tight-binding chain connected to Markovian reservoirs
- Kirensky Institute of Physics, Federal Research Centre KSC SB RAS（基连斯基物理研究所，俄罗斯科学院西伯利亚分院克拉斯诺亚尔斯克科学中心联邦研究中心）
- IRC SQC, Siberian Federal University（西伯利亚联邦大学量子系统与量子控制国际研究中心）
- School of Engineering Physics and Radio Electronics, Siberian Federal University（西伯利亚联邦大学工程物理与无线电电子学院）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
本文通过主方程方法，解析求解了耦合马尔可夫储库并受均匀退相干影响的紧束缚链中的平均电流，并扩展到玻色子多体情形，给出了电流分布及键间相关函数。
AI中文摘要：
我们考虑非相互作用粒子在紧束缚链中的量子输运，该链在其边界处耦合到马尔可夫储库，并受到均匀的局域退相干影响。利用主方程方法，我们推导出了沿链的平均电流的精确解析解。该解析解是在单粒子量子力学框架内获得的，因此同样适用于非相互作用玻色子和费米子的输运。在没有相位阻尼的情况下，结果扩展到玻色子问题的完整多体解，形式为反正规有序特征函数。该函数使我们能够计算链中每个键上的电流分布函数以及键间电流相关函数。
英文摘要：
We consider quantum transport of non-interacting particles in a tight-binding chain coupled to Markovian reservoirs at its boundaries and subject to uniform on-site dephasing. Using the masterequation approach, we derived the exact analytic solution for the mean current along the chain. This analytic solution is obtained in the framework of single-particle quantum mechanics and, thus, equally applies for transport of non-interacting bosons and fermions. In the absence of phase damping, the results are extended to the complete many-body solution for bosonic problem in the form of anti-normally ordered characteristic function. This function allows us to calculate the distribution function for the current at each bond in the chain as well as the inter-bond current correlation functions.
