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Quantum Coherences and Classical Inhomogeneities as Equivalent Thermodynamics Resources
Authors:Andrew Smith  Kanupriya Sinha  Christopher Jarzynski
Affiliation:1.Department of Physics, University of Maryland, College Park, MD 20742, USA;2.Department of Electrical and Computer Engineering, Princeton University, Princeton, NJ 08544, USA;3.School of Electrical, Computer and Energy Engineering, Arizona State University, Phoenix, AZ 85287, USA;4.Department of Chemistry and Biochemistry, University of Maryland, College Park, MD 20742, USA;5.Institute for Physical Science and Technology, University of Maryland, College Park, MD 20742, USA
Abstract:
Quantum energy coherences represent a thermodynamic resource, which can be exploited to extract energy from a thermal reservoir and deliver that energy as work. We argue that there exists a closely analogous classical thermodynamic resource, namely, energy-shell inhomogeneities in the phase space distribution of a system’s initial state. We compare the amount of work that can be obtained from quantum coherences with the amount that can be obtained from classical inhomogeneities, and find them to be equal in the semiclassical limit. We thus conclude that coherences do not provide a unique thermodynamic advantage of quantum systems over classical systems, in situations where a well-defined semiclassical correspondence exists.
Keywords:quantum thermodynamics   quantum coherence   work extraction
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