Nonequilibrium quantum heat transport between structured environments

Autor: Pleasance, Graeme, Petruccione, Francesco
Rok vydání: 2024
Předmět:
Zdroj: New J. Phys. 26, 073025 (2024)
Druh dokumentu: Working Paper
DOI: 10.1088/1367-2630/ad5bfb
Popis: 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.
Comment: 18 + 10 pages, 7 figures, accepted version
Databáze: arXiv