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.
arXiv commentSee the third version
References in corpus (73)
- Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems
- Colloquium. Quantum Fluctuation Relations: Foundations and Applications
- Thermodynamic uncertainty relation for biomolecular processes
- Quantum Thermodynamics
- The role of quantum information in thermodynamics --- a topical review
- Quantum Thermodynamic Cycles and quantum heat engines
- Dissipation bounds all steady-state current fluctuations
- The second law, Maxwell's daemon and work derivable from quantum heat engines
- Experimental characterization of a spin quantum heat engine
- The quantum harmonic Otto cycle
- Fluctuation theorem uncertainty relation
- The Quantum Four Stroke Heat Engine: Thermodynamic Observables in a Model with Intrinsic Friction
- Quantum thermodynamic devices: from theoretical proposals to experimental reality
- Extracting work from quantum measurement in Maxwell demon engines
- Thermodynamic uncertainty relations from exchange fluctuation theorems
- Quantum Thermodynamic Cycles and Quantum Heat Engines (II)
- No-go theorem for the characterisation of work fluctuations in coherent quantum systems
- An introductory review of the resource theory approach to thermodynamics
- Quantum Measurement Cooling
- Coherence effects in the performance of the quantum Otto heat engine
- Irreversible work and inner friction in quantum thermodynamic processes
- Thermodynamic Bounds on Precision in Ballistic Multi-Terminal Transport
- Unified thermodynamic uncertainty relations in linear response
- A Coupled Quantum Otto Cycle
- A Discrete Four Stroke Quantum Heat Engine Exploring the Origin of Friction
- Efficient Quantum Measurement Engine
- Unifying Thermodynamic Uncertainty Relations
- Heat engine driven by purely quantum information
- A two-qubit engine fueled by entangling operations and local measurements
- Gibbs, Boltzmann, and negative temperatures
- Thermodynamic uncertainty relation in quantum thermoelectric junctions
- Single-Temperature Quantum Engine Without Feedback Control
- Measurement driven single temperature engine
- A quasiprobability distribution for heat fluctuations in the quantum regime
- Efficiency fluctuations of a quantum Otto engine
- Quantifying quantum coherence via nonreal Kirkwood-Dirac quasiprobability
- Kirkwood-Dirac quasiprobability approach to the statistics of incompatible observables
- Hysteretic thermodynamic uncertainty relation for systems with broken time-reversal symmetry
- Kirkwood-Dirac nonclassicality, support uncertainty and complete incompatibility
- Quantum computing via measurements only
- Unravelling the role of coherence in the first law of quantum thermodynamics
- Entropy-Based Formulation of Thermodynamics in Arbitrary Quantum Evolution
- 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
- Thermodynamic Uncertainty Relations for Bosonic Otto Engines
- 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
- Measurement Based Quantum Heat Engine with Coupled Working Medium
- Efficiency statistics of a quantum Otto cycle
- Work statistics, quantum signatures and enhanced work extraction in quadratic fermionic models
- What is the most general class of quasiprobabilities of work?
- On the contribution of work or heat in exchanged energy via interaction in open bipartite quantum systems
- Kinetics and thermodynamics of a driven open quantum system
- Quantum engine based on general measurements
- 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
- A Landau-Zener Lindblad equation and work extraction from coherences
- Toward physical realizations of thermodynamic resource theories
- 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
- Heat flow from a measurement apparatus monitoring a dissipative qubit
- Limits on quantum measurement engines
- Two-stroke Quantum Measurement Heat Engine