Stochastic Floquet quantum heat engines and stochastic efficiencies

Abstract

Based on the notion of quantum trajectory, we present a stochastic theoretical framework for Floquet quantum heat engines. As an application, the large deviation functions of two types of stochastic efficiencies for a two-level Floquet quantum heat engine are investigated. We find that the statistics of one efficiency agree well with the predictions of the universal theory of efficiency fluctuations developed by Verley et al. [Phys. Rev. E {\bf 90}, 052145 (2014)], whereas the statistics of the other efficiency do not. The reason for this discrepancy is attributed to the lack of fluctuation theorems for the latter type of efficiency.

arXiv comment3 figures

References in corpus (54)

• The large deviation approach to statistical mechanics
• Dynamical Ensembles in Nonequilibrium Statistical Mechanics
• The Quantum Jump Approach to Dissipative Dynamics in Quantum Optics
• Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems
• A Gallavotti-Cohen Type Symmetry in the Large Deviation Functional for Stochastic Dynamics
• Colloquium. Quantum Fluctuation Relations: Foundations and Applications
• Fluctuation theorem for stochastic dynamics
• Open Quantum Systems. An Introduction
• Quantum Thermodynamics
• Quantum Thermodynamic Cycles and quantum heat engines
• A single-atom heat engine
• Fluctuation theorems: Work is not an observable
• A nano heat engine beyond the Carnot limit
• Quantum heat engines and refrigerators: Continuous devices
• The Fluctuation Theorem as a Gibbs Property
• Experimental demonstration of quantum effects in the operation of microscopic heat engines
• Experimental characterization of a spin quantum heat engine
• The power of a critical heat engine
• Performance of discrete heat engines and heat pumps in finite time
• The Quantum Absorption Refrigerator
• The unlikely Carnot efficiency
• Floquet-Markov description of the parametrically driven, dissipative harmonic quantum oscillator
• Entropy production and thermodynamic power of the squeezed thermal reservoir
• Squeezed thermal reservoirs as a resource for a nano-mechanical engine beyond the Carnot limit
• Quantum Supremacy of Many-Particle Thermal Machines
• Efficiency of heat engines coupled to nonequilibrium reservoirs
• Minimal universal quantum heat machine
• Quantum jump approach for work and dissipation in a two-level system
• Quantum Trajectory Approach to the Stochastic Thermodynamics of a Forced Harmonic Oscillator
• Carnot Cycle at Finite Power: Attainability of Maximal Efficiency
• Internal Consistency of Fault-Tolerant Quantum Error Correction in Light of Rigorous Derivations of the Quantum Markovian Limit
• Quantum Operation Time Reversal
• Markovian Master Equation and Thermodynamics of Two-level System in Strong Laser Field
• Work fluctuations in slow processes: quantum signatures and optimal control
• Nonequilibrium potential and fluctuation theorems for quantum maps
• Universal theory of efficiency fluctuations
• Non-equilibrium quantum heat machines
• Quantum thermodynamic cycle with quantum phase transition
• Stochastic pumping of heat: Approaching the Carnot efficiency
• Quantum jumps and entropy production
• Heat-exchange statistics in driven open quantum systems
• Efficiency fluctuations in microscopic machines
• Stochastic thermodynamics of rapidly driven systems
• Efficiency and Large Deviations in Time-Asymmetric Stochastic Heat Engines
• Energy flow in periodic thermodynamics
• Fluctuations of Quantum Currents and Unravelings of Master Equations
• Efficiency Statistics and Bounds for Systems with Broken Time-Reversal Symmetry
• Characteristic Functions Based on Quantum Jump Trajectory
• Physical interpretation of stochastic Schroedinger equations in cavity QED
• Steady state fluctuations of the dissipated heat for a quantum stochastic model
• Stochastic Efficiency: Five Case Studies
• Equivalence of two Bochkov-Kuzovlev equalities in quantum two-level systems
• Calculating work in adiabatic two-level quantum Markovian master equations: A characteristic function method
• Entropy production and fluctuations in a Maxwell's refrigerator with squeezing

Cited by in corpus (7)

• Inelastic thermoelectric transport and fluctuations in mesoscopic system
• Quantum Otto engine with quantum correlations
• Thermodynamics of a continuously monitored double quantum dot heat engine in the repeated interactions framework
• Conditional fluctuation theorems and entropy production for monitored quantum systems under imperfect detection
• On a tilted Liouville-master equation of open quantum systems
• Auxiliary open quantum system for the Floquet quantum master equation
• Quantum thermodynamics under continuous monitoring: a general framework