Tensor-network simulation of quantum transport in many-quantum-dot systems

• URL: http://arxiv.org/abs/2604.06944v1
• Date: Wed, 08 Apr 2026 11:07:15 GMT
• Title: Tensor-network simulation of quantum transport in many-quantum-dot systems
• Abstract summary: Transport through correlated nanoscale systems underpins the operation of quantum-dot and molecular-scale devices.<n>Here we extend a tensor-based solver with a jump-counting estimator that enables direct computation of steady-state electron currents from lead-induced tunneling events.<n>Compared with classical approaches, TJM reduces memory requirements and wall-clock time by orders of magnitude.
• Score: 0.0
• License: http://creativecommons.org/licenses/by-nc-nd/4.0/
• Abstract: Transport through correlated nanoscale systems underpins the operation of quantum-dot and molecular-scale devices, yet accurate simulations of large open quantum systems remain computationally challenging as system size increases. Tensor-network methods offer a promising route past this scaling barrier by efficiently compressing quantum states. Here we extend a tensor-based solver with a jump-counting estimator that enables direct computation of steady-state electron currents from lead-induced tunneling events. We benchmark the resulting currents against the state-of-the-art master-equation solver QmeQ across a range of lead-dot and inter-dot coupling parameters and find quantitative agreement in the tractable regime. Compared with classical approaches, TJM reduces memory requirements and wall-clock time by orders of magnitude, enabling simulations of interacting quantum-dot arrays far beyond the range accessible to density-matrix-based transport solvers and systematic studies of size-dependent nonequilibrium transport in larger arrays. Our approach allow us to model quantum transport in an array of up to fifty (50) quantum dots.

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