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arXiv · 2603.29458

Local thermal probe in a one-dimensional chain: An efficient dissipaton-based approach

Hao-Yang Qi·Zi-Fan Zhu·Yao Wang·Rui-Xue Xu·YiJing Yan
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Abstract

We study a system consisting of an infinite one-dimensional molecular chain and a locally coupled probe. Starting from the Hamiltonian of the chain-probe composite and the corresponding spectral densities, we evaluate the heat current between the probe and the chain. For this purpose, we develop a dissipaton-based quantum approach that is fully nonperturbative and non-Markovian. The dissipaton algebra yields a set of hierarchically coupled equations of motion for the dissipaton moments, with cross-tier connections in an iterative manner if higher-order chain-probe interactions are included. Numerical results demonstrate the effects of temperature, frequency, onsite energy modification and higher-order couplings on heat transport. This work provides a general framework for thermal transport and other properties in locally probed systems and can be straightforwardly extended to higher-dimensional materials and electronic transport problems with strong many-body effects.

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Hao-Yang Qi, Zi-Fan Zhu, Yao Wang, Rui-Xue Xu, YiJing Yan. 2026-03-31. Local thermal probe in a one-dimensional chain: An efficient dissipaton-based approach. https://arxiv.org/abs/2603.29458

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