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Bounds on fluctuations for finite-time quantum Otto cycle

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arxiv 2104.12173 v1 pith:I7S3XQKT submitted 2021-04-25 cond-mat.stat-mech cond-mat.mes-hall

Sushant Saryal , Bijay Kumar Agarwalla This is my paper · ORCID
classification cond-mat.stat-mechcond-mat.mes-hall
keywords fluctuationengineheatboundfinite-timeinputlowerotto
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For finite-time quantum Otto heat engine with working fluid consisting of either a (i) qubit or (ii) a harmonic oscillator, we show that the relative fluctuation of output work is always greater than the corresponding relative fluctuation of input heat absorbed from the hot bath. As a result, the ratio between the work fluctuation and the input heat fluctuation receives a lower bound in terms of the square value of the average efficiency of the engine. The saturation of the lower bound is received in the quasi-static limit of the engine and can be shown for a class of working fluids that follow a scale-invariant energy eigenspectra under driving.

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  1. Finite-size reliability of homothetic quantum Otto engines

    quant-ph 2026-07 conditional novelty 6.0 of 10

    For finite homothetic quantum Otto engines, exact finite-N work statistics show a reliability crossover and noncommuting high-temperature and infinite-dimensional limits.

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