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PreprintCC BY 4.0arXiv

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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Cite

BibTeXRIS
BibTeX
@misc{muraev2026quantum,
  title = {{Quantum transport along a tight-binding chain connected to Markovian reservoirs}},
  author = {P. S. Muraev and A. R. Kolovsky and D. N. Maksimov},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.11741},
  eprint = {2609.11741},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.11741},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Quantum transport along a tight-binding chain connected to Markovian reservoirs
AU  - P. S. Muraev
AU  - A. R. Kolovsky
AU  - D. N. Maksimov
PY  - 2026
DA  - 2026/09/10
PB  - arXiv
DO  - 10.48550/arxiv.2609.11741
UR  - https://arxiv.org/abs/2609.11741
AB  - 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.
ER  -