Efficiency large deviation function of quantum heat engines

The efficiency of small thermal machines is typically a fluctuating quantity. We here study the efficiency large deviation properties of two exemplary quantum heat engines, the harmonic oscillator and the two-level Otto motors. To this end, we analytically compute their joint characteristic function...

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Bibliographic Details
Published in:New journal of physics 2021-07, Vol.23 (7), p.75003
Main Authors: Denzler, Tobias, Lutz, Eric
Format: Article
Language:English
Subjects:
Characteristic functions
Deviation
Efficiency
efficiency fluctuations
Harmonic oscillators
Heat engines
large deviation theory
Physics
quantum heat engine
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Summary:The efficiency of small thermal machines is typically a fluctuating quantity. We here study the efficiency large deviation properties of two exemplary quantum heat engines, the harmonic oscillator and the two-level Otto motors. To this end, we analytically compute their joint characteristic functions for heat and work based on the two-projective-measurement approach. We investigate work–heat correlations within the respective engine cycles and find, for generic scale-invariant quantum heat engines, that work and heat are perfectly anticorrelated for adiabatic driving. In this limit, the effects of thermal as well as quantum fluctuations are suppressed, the large deviation functions are singular and the stochastic efficiency is equal to the macroscopic efficiency.
ISSN:1367-2630
1367-2630
DOI:10.1088/1367-2630/ac09fe