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This paper investigates the fundamental quantum mechanical limitations inherent in measuring work within mesoscopic thermodynamic systems, specifically addressing how back-reaction and uncertainty principles constrain experimental design. The study establishes that these quantum restrictions are intrinsic and cannot be overcome by super-resolution techniques, marking a significant theoretical advance in quantum thermodynamics.
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Quantum measurement of work in mesoscopic systems

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arXiv:2507.09977v2 Announce Type: replace Abstract: Heat and work in thermodynamics refer to the measurement of changes in energy content of external bodies (baths and agents). We discuss the implications of quantum mechanics on the possibility to measure work in a mesoscopic context. The agent is a quantum entity (say an oscillator) that is used to drive the system. An obvious limitation is related to back-reaction, leading to a classical-like restriction. We find that in order to resolve fingerprints of interference an additional quantum uncertainty limitation should be taken into account in the design of the agent. The quantum limitation is fundamental, and cannot be relaxed by super-resolution techniques.

Abstract:Heat and work in thermodynamics refer to the measurement of changes in energy content of external bodies (baths and agents). We discuss the implications of quantum mechanics on the possibility to measure work in a mesoscopic context. The agent is a quantum entity (say an oscillator) that is used to drive the system. An obvious limitation is related to back-reaction, leading to a classical-like restriction. We find that in order to resolve fingerprints of interference an additional quantum uncertainty limitation should be taken into account in the design of the agent. The quantum limitation is fundamental, and cannot be relaxed by super-resolution techniques.

Quantum Physics (quant-ph); Mesoscale and Nanoscale Physics (cond-mat.mes-hall)

arXiv:2507.09977 [quant-ph]

(or arXiv:2507.09977v2 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2507.09977 Focus to learn more arXiv-issued DOI via DataCite

New J. Phys. 28, 084512 (2026)

https://doi.org/10.1088/1367-2630/ae97e7 Focus to learn more DOI(s) linking to related resources

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