Nonequilibrium potential and fluctuation theorems for quantum maps

Abstract

We derive a general fluctuation theorem for quantum maps. The theorem applies to a broad class of quantum dynamics, such as unitary evolution, decoherence, thermalization, and other types of evolution for quantum open systems. The theorem reproduces well-known fluctuation theorems in a single and simplified framework and extends the Hatano-Sasa theorem to quantum nonequilibrium processes. Moreover, it helps to elucidate the physical nature of the environment inducing a given dynamics in an open quantum system.

10 pages

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Cited by in corpus (85)

• Quantum Thermodynamics
• The role of quantum measurement in stochastic thermodynamics
• Entropy production and thermodynamic power of the squeezed thermal reservoir
• The role of quantum coherence in non-equilibrium entropy production
• Quantum work and the thermodynamic cost of quantum measurements
• Fully quantum fluctuation theorems
• Quantum fluctuation theorems for arbitrary environments: adiabatic and non-adiabatic entropy production
• Quantum fluctuation theorems, contextuality and work quasi-probabilities
• Thermodynamic uncertainty relation in slowly driven quantum heat engines
• The second law of quantum thermodynamics as an equality
• Thermodynamics of Precision in Markovian Open Quantum Dynamics
• Thermodynamics of Gambling Demons
• The squeezed thermal reservoir as a generalized equilibrium reservoir
• Quantum fluctuations hinder finite-time information erasure near the Landauer limit
• Verification of the Quantum Nonequilibrium Work Relation in the Presence of Decoherence
• Work estimation and work fluctuations in the presence of non-ideal measurements
• An operational approach to quantum stochastic thermodynamics
• Harnessing symmetry to control quantum transport
• Steady state entanglement beyond thermal limits
• Fluctuation Theorems for a Quantum Channel
• Fluctuation theorems from Bayesian retrodiction
• Geometry of work fluctuations versus efficiency in microscopic thermal machines
• Experimental test of exchange fluctuation relations in an open quantum system
• Quantum Trajectory Thermodynamics with Discrete Feedback Control
• Quantum fluctuation theorem to benchmark quantum annealers
• Steering heat engines: a truly quantum Maxwell demon
• Characteristic Functions Based on Quantum Jump Trajectory
• Quantum Martingale Theory and Entropy Production
• Probing quantum fluctuation theorems in engineered reservoirs
• Stochastic thermodynamics of quantum maps with and without equilibrium
• Fluctuation Theorems for Continuous Quantum Measurement and Absolute Irreversibility
• Energetic footprints of irreversibility in the quantum regime
• Quantum Fluctuation Theorems
• Engineering a heat engine purely driven by quantum coherence
• Thermodynamics of computations with absolute irreversibility, unidirectional transitions, and stochastic computation times
• Quantum jump model for a system with a finite-size environment
• Fundamental bounds on precision and response for quantum trajectory observables
• Joint statistics of work and entropy production along quantum trajectories
• Efficiency fluctuations in a quantum battery charged by a repeated interaction process
• The smallest absorption refrigerator: the thermodynamics of a system with quantum local detailed balance
• Reconstructing quantum entropy production to probe irreversibility and correlations
• The impossibility of Landauer's bound for almost every quantum state
• Fluctuation-dissipation theorem for non-equilibrium quantum systems
• Entropy production and fluctuations in a Maxwell's refrigerator with squeezing
• Characterizing a statistical arrow of time in quantum measurement dynamics
• Quantum collisional thermostats
• A generic model for quantum measurements
• Dependence of integrated, instantaneous, and fluctuating entropy production on the initial state in quantum and classical processes
• Thermodynamics of a continuously monitored double quantum dot heat engine in the repeated interactions framework
• Time reversals of irreversible quantum maps
• Quantum detailed balance conditions and fluctuation relations for thermalizing quantum dynamics
• Information Fluctuation Theorem for an Open Quantum Bipartite System
• Fluctuation relations and strong inequalities for thermally isolated systems
• A quantum fluctuation theorem for any Lindblad master equation
• Stochastic Floquet quantum heat engines and stochastic efficiencies
• Inferring work by quantum superposing forward and time-reversal evolutions
• Thermodynamic precision in the nonequilibrium exchange scenario
• Conditional fluctuation theorems and entropy production for monitored quantum systems under imperfect detection
• The entropy production of thermal operations
• Characterizing irreversibility in open quantum systems
• Path Integral approach to nonequilibrium potentials in multiplicative Langevin dynamics
• Semi-classical work and quantum work identities in Weyl representation
• Irreversibility mitigation in unital non-Markovian quantum evolutions
• Symmetry-induced fluctuation relations in open quantum systems
• Dissipation in the Generalized Gibbs Ensemble
• Work, heat and entropy production along quantum trajectories
• Comparison between quantum jumps and master equation in the presence of a finite environment
• Quantum Onsager relations
• Single-shot energetic-based estimator for entanglement in a half-parity measurement setup
• Information geometry of transitions between quantum nonequilibrium steady states
• Detailed balance as a quantum-group symmetry of Kraus operators
• Quantum reversal: a general theory of coherent quantum absorbers
• Stochastic entropy production: Fluctuation relation and irreversibility mitigation in non-unital quantum dynamics
• Calorimetric measurement of work for a driven harmonic oscillator
• Noise as a resource
• Quantifying athermality and quantum induced deviations from classical fluctuation relations
• Quantum Fluctuation Theorem for Arbitrary Measurement and Feedback Schemes
• Quantum stochastic thermodynamics in the mesoscopic-leads formulation
• A Finite-Time Quantum Otto Engine subject to Control Noise and Enhancement Techniques
• Auxiliary open quantum system for the Floquet quantum master equation
• Quantum thermodynamics under continuous monitoring: a general framework
• Coarse-grained quantum thermodynamics: Observation-dependent quantities, observation-independent laws
• Integral fluctuation theorems and trace-preserving map
• Quantum entanglement and extractable work for Gaussian states
• The Coherent Crooks Equality