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Maximum power and corresponding efficiency for two-level heat engines and refrigerators: optimality of fast cycles

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abstract

We study how to achieve the ultimate power in the simplest, yet non trivial, model of a thermal machine, namely a two-level quantum system coupled to two thermal baths. Without making any prior assumption on the protocol, via optimal control we show that, regardless of the microscopic details and of the operating mode of the thermal machine, the maximum power is universally achieved by a fast Otto-cycle like structure in which the controls are rapidly switched between two extremal values. A closed formula for the maximum power is derived, and finite-speed effects are discussed. We also analyse the associated efficiency at maximum power (EMP) showing that, contrary to universal results derived in the slow-driving regime, it can approach Carnot's efficiency, no other universal bounds being allowed.

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2019 1

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CONDITIONAL 1

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Heat rectification via a superconducting artificial atom

cond-mat.mes-hall · 2019-08-15 · conditional · novelty 6.0

A transmon qubit between two unequal resonators with resistive baths demonstrates flux-tunable heat rectification of up to 10%, the first experimental realization of the spin-boson rectifier.

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  • Heat rectification via a superconducting artificial atom cond-mat.mes-hall · 2019-08-15 · conditional · none · ref 1 · internal anchor

    A transmon qubit between two unequal resonators with resistive baths demonstrates flux-tunable heat rectification of up to 10%, the first experimental realization of the spin-boson rectifier.