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  • Open Access

Dissipative charging of tight-binding quantum batteries

Mingdi Xu1, Yiming Liu1, Yefeng Song1, Xiang-Ping Jiang2,*, and Lei Pan1,†

  • *Contact author: 2015iopjxp@gmail.com
  • †Contact author: panlei@nankai.edu.cn

APS Open Sci. 1, 000162 – Published 7 October, 2026

DOI: https://doi.org/10.1103/m26w-5539

Abstract

We investigate dissipative charging of a single particle in finite tight-binding lattices coupled to engineered nonequilibrium Markovian reservoirs. The engineered number-conserving bond jumps convert local antisymmetric bond modes into symmetric modes, thereby steering the system toward upper spectral-edge states with finite steady-state ergotropy. In an even periodic chain, this mechanism admits a simple bond-mode interpretation and gives Ess=4t in the clean limit, where t denotes the uniform nearest-neighbor hopping amplitude. We further show that the same dissipative charging principle applies to a two-dimensional honeycomb tight-binding lattice. For on-site Anderson disorder, disorder-averaged calculations show that the mixed steady state becomes more spatially concentrated, while the final ergotropy decreases and the charging transient shortens over the examined parameter range. Additional local dephasing produces a similar finite-time trade-off in the displayed rate window. The finite-time metric P0.99, defined by P0.99=0.99Ess/τ0.99, with τ0.99 the first time at which the ergotropy reaches 99% of its steady-state value, is therefore interpreted as a battery-side charging measure rather than the net thermodynamic power or efficiency of the full reservoir-engineering apparatus.

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