Power Fluctuations of An Irreversible Quantum Otto Engine
arXiv:2012.10621 · doi:10.1103/PhysRevE.103.032130
Abstract
We derive the general probability distribution function of stochastic work for quantum Otto engines in which both the isochoric and driving processes are irreversible due to finite time duration. The time-dependent power fluctuations, average power, and thermodynamic efficiency are explicitly obtained for a complete cycle operating with an analytically solvable two-level system. We show that, there is a trade-off between efficiency (or power) and power fluctuations.
References in corpus (41)
- Stochastic thermodynamics, fluctuation theorems, and molecular machines
- Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems
- Fluctuation theorems: Work is not an observable
- Single ion heat engine with maximum efficiency at maximum power
- Experimental characterization of a spin quantum heat engine
- The Three Faces of the Second Law: I. Master Equation Formulation
- Irreversible Performance of a Quantum Harmonic Heat Engine
- Performance of discrete heat engines and heat pumps in finite time
- Quantum absorption refrigerator with trapped ions
- The Quantum Four Stroke Heat Engine: Thermodynamic Observables in a Model with Intrinsic Friction
- Nonequilibrium fluctuations in quantum heat engines: Theory, example, and possible solid state experiments
- Quantum Heat Engine With Multi-Level Quantum Systems
- Coherence effects in the performance of the quantum Otto heat engine
- Irreversible work and inner friction in quantum thermodynamic processes
- Cycling tames power fluctuations near optimum efficiency
- Quantum jump approach for work and dissipation in a two-level system
- Efficiency of a quantum Otto heat engine operating under a reservoir at effective negative temperatures
- Efficiency statistics at all times: Carnot limit at finite power
- Efficiency of harmonic quantum Otto engines at maximal power
- Using a quantum work meter to test non-equilibrium fluctuation theorems
- Fluctuation Relation for Quantum Heat Engines and Refrigerators
- Exactly solvable model of stochastic heat engine: Optimization of power, its fluctuations and efficiency
- Efficiency fluctuations of a quantum Otto engine
- Quantum Otto cycle with inner friction: finite-time and disorder effects
- Heat-exchange statistics in driven open quantum systems
- Work statistics across a quantum phase transition
- Work and its fluctuations in a driven quantum system
- Internal dissipation and heat leaks in quantum thermodynamic cycles
- Fluctuation Relation for Heat Engines
- Work and power fluctuations in a critical heat engine
- Efficiency Statistics and Bounds for Systems with Broken Time-Reversal Symmetry
- Efficiency at maximum power and efficiency fluctuations in a linear Brownian heat engine model
- Work statistics in stochastically driven systems
- Friction due to inhomogeneous driving of coupled spins in a quantum heat engine
- Efficiency at maximum power of a quantum Otto engine: Both within finite-time and irreversible thermodynamics
- Efficiency fluctuations of stochastic machines undergoing a phase transition
- Finite-time quantum Otto engine: Surpassing the quasi-static efficiency due to friction
- Heat distribution of a quantum harmonic oscillator
- True nature of the Curzon-Ahlborn efficiency
- Efficiency fluctuations of small machines with unknown losses
- Computing characteristic functions of quantum work in phase space
Cited by in corpus (6)
- Quantum thermodynamic devices: from theoretical proposals to experimental reality
- Quantum Engines and Refrigerators
- Measurement-based quantum Otto engine with a two-spin system coupled by anisotropic interaction: enhanced efficiency at finite times
- Quantum heat engines with complex working media, complete Otto cycles and heuristics
- Spins-based Quantum Otto Engines and Majorisation
- Quasi-probability distribution of work in a measurement-based quantum Otto engine