Going beyond Local and Global approaches for localized thermal dissipation

Farina, Donato; De Filippis, Giulio; Cataudella, Vittorio; Polini, Marco; Giovannetti, Vittorio

doi:10.48550/arxiv.2003.11845

Cited by 1 publication

(1 citation statement)

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“…Recently, for two coupled qubits interacting with common and separate baths, it was shown that the global approach with partial secular rather than full secular approximation always provides the most accurate choice for the master equation [24]. In reference [25], it was shown that the completely positive version of the Redfield equation obtained using coarse-grain and an appropriate time-dependent convex mixture of the local and global solutions gives rise to the most accurate semigroup approximations of the whole exact system dynamics. Moreover, the two approaches above, from the viewpoint of the system, often rely on approximate Markovian master equations derived under the assumptions of weak system-environment coupling, which would become challenging under strong coupling.…”

Section: Introductionmentioning

confidence: 99%

Effect of inter-system coupling on heat transport in a microscopic collision model

Tian,

Zou,

et al. 2020

Preprint

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In this paper we consider a bipartite system composed of two subsystems each coupled to its own thermal environment. Based on a collision model, we mainly study whether the approximation (i.e., the inter-system interaction is ignored when modeling the system-environment coupling) is valid or not. We also address the problem of heat transport unitedly for both conventional energy-preserving systemenvironment interactions and non-energy preserving system-environment interactions. For the former interaction, as the inter-system interaction strength increases, at first this approximation gets worse as expected, but then counterintuitively gets better even for a stronger inter-system coupling. For the latter interaction with asymmetry, this approximation gets progressively worse. In this case we realize a perfect thermal rectification, and we can not find apparent rectification effect for the former interaction. Finally and more importantly, our results show that whether this approximation is valid or not is closely related to the quantum correlations between the subsystems, i.e., the weaker the quantum correlations, the more justified the approximation and vice versa.

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Section: Introductionmentioning

confidence: 99%