Quantum unital Otto heat engines: using Kirkwood-Dirac quasi-probability for the engine's coherence to stay alive
arXiv:2405.04243 · doi:10.1016/j.aop.2024.169889
Abstract
In this work, we consider quantum unital Otto heat engines. The latter refers to the fact that both the unitaries of the adiabatic strokes and the source of the heat provided to the engine preserve the maximally mixed state. We show how to compute the cumulants of either the dephased or undephased engine. For a qubit, we give the analytical expressions of the averages and variances for arbitrary unitaries and unital channels. We do a detailed comparative study between the dephased and undephased heat engines. More precisely, we focus on the effect of the parameters on the average work and its reliability and efficiency. As a case study of unital channels, we consider a quantum projective measurement. We show on which basis we should projectively measure the qubit, either the dephased or undephased heat engine, to extract higher amounts of work, increase the latter's reliability, and increase efficiency. Further, we show that non-adiabatic transitions are not always detrimental to thermodynamic quantities. Our results, we believe, are important for heat engines fueled by quantum measurement.
See the third version
References in corpus (36)
- Thermodynamic uncertainty relation for biomolecular processes
- Quantum Thermodynamic Cycles and quantum heat engines
- The second law, Maxwell's daemon and work derivable from quantum heat engines
- Quantum thermodynamic devices: from theoretical proposals to experimental reality
- Quantum Thermodynamic Cycles and Quantum Heat Engines (II)
- Irreversible work and inner friction in quantum thermodynamic processes
- Gibbs, Boltzmann, and negative temperatures
- Thermodynamic uncertainty relation in quantum thermoelectric junctions
- Quantifying quantum coherence via nonreal Kirkwood-Dirac quasiprobability
- Kirkwood-Dirac quasiprobability approach to the statistics of incompatible observables
- Kirkwood-Dirac nonclassicality, support uncertainty and complete incompatibility
- Properties and Applications of the Kirkwood-Dirac Distribution
- Measurement-induced operation of two-ion quantum heat machines
- Experimental investigation of a quantum heat engine powered by generalized measurements
- Quasiprobabilities in quantum thermodynamics and many-body systems
- Measurement-based quantum heat engine in a multilevel system
- Suppressing coherence effects in quantum-measurement based engines
- Bounds on fluctuations for finite-time quantum Otto cycle
- Efficiency statistics of a quantum Otto cycle
- What is the most general class of quasiprobabilities of work?
- Work statistics, quantum signatures and enhanced work extraction in quadratic fermionic models
- Kinetics and thermodynamics of a driven open quantum system
- Exploring quasiprobability approach to quantum work in the presence of initial coherence: Advantages of the Margenau-Hill distribution
- Interferometry of quantum correlation functions to access quasiprobability distribution of work
- Enhancing the performance of coupled quantum Otto thermal machines without entanglement and quantum correlations
- Measurement-based quantum thermal machines with feedback control
- Quasiprobability distribution of work in the quantum Ising model
- Measurement-based quantum Otto engine with a two-spin system coupled by anisotropic interaction: enhanced efficiency at finite times
- Universal bounds on cooling power and cooling efficiency for autonomous absorption refrigerators
- Study of bounds on non-equilibrium fluctuations for asymmetrically driven quantum Otto engine
- -symmetric effects in measurement-based quantum thermal machines
- Monitored non-adiabatic and coherent-controlled quantum unital Otto heat engines: First four cumulants
- Relation between fluctuations and efficiency at maximum power for small heat engines
- Limits on quantum measurement engines
- Heat flow from a measurement apparatus monitoring a dissipative qubit
- Two-stroke Quantum Measurement Heat Engine