Thermodynamics of Minimal Coupling Quantum Heat Engines

• URL: http://arxiv.org/abs/2003.05788v5
• Date: Wed, 30 Dec 2020 09:37:06 GMT
• Title: Thermodynamics of Minimal Coupling Quantum Heat Engines
• Authors: Marcin {\L}obejko, Pawe{\l} Mazurek, Micha{\l} Horodecki
• Abstract summary: A minimal-coupling quantum heat engine is a thermal machine consisting of an explicit energy storage system, heat baths, and a working body. We present a general framework of quantum thermodynamics, where a work extraction process is fundamentally limited by a flow of non-passive energy. We find the optimal efficiency and work production per cycle within the class of irreversible minimal-coupling engines composed of three strokes.
• Score: 0.11719282046304676
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The minimal-coupling quantum heat engine is a thermal machine consisting of an explicit energy storage system, heat baths, and a working body, which alternatively couples to subsystems through discrete strokes -- energy-conserving two-body quantum operations. Within this paradigm, we present a general framework of quantum thermodynamics, where a work extraction process is fundamentally limited by a flow of non-passive energy (ergotropy), while energy dissipation is expressed through a flow of passive energy. It turns out that small dimensionality of the working body and a restriction only to two-body operations make the engine fundamentally irreversible. Our main result is finding the optimal efficiency and work production per cycle within the whole class of irreversible minimal-coupling engines composed of three strokes and with the two-level working body, where we take into account all possible quantum correlations between the working body and the battery. One of the key new tools is the introduced "control-marginal state" -- one which acts only on a working body Hilbert space, but encapsulates all features regarding work extraction of the total working body-battery system. In addition, we propose a generalization of the many-stroke engine, and we analyze efficiency vs extracted work trade-offs, as well as work fluctuations after many cycles of the running of the engine.

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