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arXiv · 2609.11741

Quantum transport along a tight-binding chain connected to Markovian reservoirs

P. S. Muraev·A. R. Kolovsky·D. N. Maksimov
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Abstract

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.

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P. S. Muraev, A. R. Kolovsky, D. N. Maksimov. 2026-09-10. Quantum transport along a tight-binding chain connected to Markovian reservoirs. https://arxiv.org/abs/2609.11741

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