Nonequilibrium quantum heat transport between structured environments

• URL: http://arxiv.org/abs/2403.13904v2
• Date: Thu, 25 Jul 2024 21:15:12 GMT
• Title: Nonequilibrium quantum heat transport between structured environments
• Authors: Graeme Pleasance, Francesco Petruccione,
• Abstract summary: We apply the hierarchical equations of motion technique to analyze nonequilibrium heat transport in a spin-boson type model. We find the heat current to be drastically modified at weak system-bath coupling. Our analysis highlights a novel mechanism for controlling heat transport in nanoscale systems.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We apply the hierarchical equations of motion technique to analyzing nonequilibrium heat transport in a spin-boson type model, whereby heat transfer through a central spin is mediated by an intermediate pair of coupled harmonic oscillators. The coupling between each pair of oscillators is shown to introduce a localized gap into the effective spectral densities characterizing the system-oscillator-reservoir interactions. Compared to the case of a single mediating oscillator, we find the heat current to be drastically modified at weak system-bath coupling. In particular, a second-order treatment fails to capture the correct steady-state behavior in this regime, which stems from the $\lambda^4$-scaling of the energy transfer rate to lowest order in the coupling strength $\lambda$. This leads naturally to a strong suppression in the steady-state current in the asymptotically weak coupling limit. On the other hand, the current noise follows the same scaling as in the single oscillator case in accordance with the fluctuation-dissipation theorem. Additionally, we find the heat current to be consistent with Fourier's law even at large temperature bias. Our analysis highlights a novel mechanism for controlling heat transport in nanoscale systems based on tailoring the spectral properties of thermal environments.

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