Autonomous demon exploiting heat and information at the trajectory level

Abstract

We propose an electronic bipartite system consisting of a working substance, in which a refrigeration process is implemented, and of a nonthermal resource region, containing a combination of different thermal baths. In the working substance, heat is extracted from the coldest of two electronic reservoirs (refrigeration) via heat- and particle transport through a quantum dot. This quantum dot of the working substance is capacitively coupled to the resource region. In such a setup, a finite cooling power can be obtained in the working substance, while the energy exchange with the resource region exactly cancels out on average. At the same time, information is always exchanged, even on average, due to the capacitive coupling between the two parts of the bipartite system. The proposed system therefore implements an autonomous demon with fully vanishing heat extraction from the resource. Unlike macroscopic machines, nanoscale machines exhibit large fluctuations in performance, so precision becomes an important performance quantifier. We give a comprehensive description of the thermodynamic performance of the proposed autonomous demon in terms of stochastic trajectories and of full counting statistics and demonstrate that the precision of the cooling power strongly depends on the operation principle of the device. More specifically, the interplay of information flow and counter-balancing heat flows dramatically impacts the trade-off between cooling power, efficiency, and precision. We expect this insight to be of relevance for guiding the design of energy-conversion processes exploiting nonthermal resources.

19 pages, 8 figures, 1 table. Minor revisions, including a graphical representation of the key cycles in a new figure and a rescaling of X_TUR to be more consistent with the standard TUR

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• Thermodynamic inference in molecular motors: a Martingale approach
• Noninvasive and nonadiabatic quantum Maxwell demon
• The Jaynes Cummings model as an autonomous Maxwell demon
• Precision of an autonomous demon exploiting nonthermal resources and information
• Join gate with memory in token-conserving Brownian circuits and the thermodynamic cost