Nonequilibrium entropy production for open quantum systems

Abstract

We consider open quantum systems weakly coupled to a heat reservoir and driven by arbitrary time-dependent parameters. We derive exact microscopic expressions for the nonequilibrium entropy production and entropy production rate, valid arbitrarily far from equilibrium. By using the two-point energy measurement statistics for system and reservoir, we further obtain a quantum generalization of the integrated fluctuation theorem put forward by Seifert [PRL 95, 040602 (2005)].

4 pages, 1 figure

References in corpus (13)

• Colloquium. Quantum Fluctuation Relations: Foundations and Applications
• Fluctuation theorems: Work is not an observable
• Efficient quantum state tomography
• Dissipation: The phase-space perspective
• Generalized Clausius inequality for nonequilibrium quantum processes
• Genuine quantum trajectories for non-Markovian processes
• Employing trapped cold ions to verify the quantum Jarzynski equality
• Measurement of Stochastic Entropy Production
• Fluctuation theorems in driven open quantum systems
• Quantum jumps and entropy production
• An illustrative example of the relationship between dissipation and relative entropy
• Statistics of Entropy Production in Linearized Stochastic System
• Nonequilibrium quantum-impurities: from entropy production to information theory

Cited by in corpus (171)

• The role of quantum information in thermodynamics --- a topical review
• Quantum and Information Thermodynamics: A Unifying Framework based on Repeated Interactions
• Quantum engine efficiency bound beyond the second law of thermodynamics
• Speed Limit for Classical Stochastic Processes
• Quantum Coherence and Ergotropy
• First and Second Law of Thermodynamics at strong coupling
• Nonequilibrium thermodynamics in the strong coupling and non-Markovian regime based on a reaction coordinate mapping
• Entropy production and thermodynamic power of the squeezed thermal reservoir
• Thermodynamics of precision in quantum non equilibrium steady states
• Performance of a quantum heat engine at strong reservoir coupling
• Coherence effects in the performance of the quantum Otto heat engine
• Efficiency of heat engines coupled to nonequilibrium reservoirs
• The role of quantum coherence in non-equilibrium entropy production
• Reversing the direction of heat flow using quantum correlations
• The role of coherence in the non-equilibrium thermodynamics of quantum systems
• Irreversibility and the arrow of time in a quenched quantum system
• Landauer's principle in multipartite open quantum system dynamics
• Fully quantum fluctuation theorems
• Quantum fluctuation theorems for arbitrary environments: adiabatic and non-adiabatic entropy production
• Fluctuation theorems for quantum processes
• Geometric lower bound for a quantum coherence measure
• Nonequilibrium potential and fluctuation theorems for quantum maps
• System-environment correlations and Markovian embedding of quantum non-Markovian dynamics
• The Wigner Entropy Production Rate
• Quantum thermodynamics of the driven resonant level model
• Exact master equation for a spin interacting with a spin bath: Non-Markovianity and negative entropy production rate
• Quantum Fluctuation Relations for the Lindblad Master Equation
• Holevo's bound from a general quantum fluctuation theorem
• Geometric properties of adiabatic quantum thermal machines
• Entropy production and time-asymmetry in the presence of strong interactions
• Quantum thermal machines with single nonequilibrium environments
• Verification of the Quantum Nonequilibrium Work Relation in the Presence of Decoherence
• Thermodynamic control -- an old paradigm with new applications
• Criticality revealed through quench dynamics the Lipkin-Meshkov-Glick model
• Time-reversal symmetric work distributions for closed quantum dynamics in the histories framework
• Quantum Simulation of single-qubit thermometry using linear optics
• Work Output and Efficiency at Maximum Power of Linear Irreversible Heat Engines Operating with a Finite-Sized Heat Source
• Quantum heat statistics with time-evolving matrix product operators
• Thermodynamic length for far from equilibrium quantum systems
• Information scrambling vs. decoherence -- two competing sinks for entropy
• Reinforcement learning approach to non-equilibrium quantum thermodynamics
• Optimal protocols for slowly-driven quantum processes
• Speed Limits for Macroscopic Transitions
• Entropy production and information fluctuations along quantum trajectories
• Entropy production and asymptotic factorization via thermalization: a collisional model approach
• Open-system approach to nonequilibrium quantum thermodynamics at arbitrary coupling
• Counting statistics of heat transport in harmonic junctions -- transient and steady states
• Quantum thermodynamics from the nonequilibrium dynamics of open systems: energy, heat capacity and the third law
• Entropy production and correlations in a controlled non-Markovian setting
• Minimum energetic cost to maintain a target nonequilibrium state
• Exchange Fluctuation Theorem for correlated quantum systems
• On entropy production of repeated quantum measurements I. General theory
• Nonequilibrium Thermodynamics of Quantum Friction
• Effects of Quantum Coherence on Work Statistics
• Dependence of dissipation on the initial distribution over states
• Non-Equilibrium Thermodynamics of Harmonically Trapped Bosons
• Kibble-Zurek scaling of the irreversible entropy production
• Numerically exact counting statistics of energy current in the Kondo regime
• Quantum entropy production in phase space
• Entropy Production in Continuously Measured Gaussian Quantum Systems
• Geometrical bounds on irreversibility in open quantum systems
• Quantum Martingale Theory and Entropy Production
• Initial-State Dependence of Thermodynamic Dissipation for any Quantum Process
• Effect of coherence of nonthermal reservoirs on heat transport in a microscopic collision model
• Thermodynamics of quantum systems strongly coupled to a heat bath I. Operator thermodynamic functions and relations
• Stochastic thermodynamics of quantum maps with and without equilibrium
• Extending the laws of thermodynamics for arbitrary autonomous quantum systems
• Nonequilibrium quantum absorption refrigerator
• Negative contributions to entropy production induced by quantum coherences
• Fluctuation Theorems for Continuous Quantum Measurement and Absolute Irreversibility
• Energetic footprints of irreversibility in the quantum regime
• Quantum and classical ergotropy from relative entropies
• Thermodynamics from indistinguishability: mitigating and amplifying the effects of the bath
• Quantum Fluctuation Theorems
• Heat flow reversals without reversing the arrow of time: the role of internal quantum coherences and correlations
• Quantum information geometry of driven CFTs
• Equivalence of two Bochkov-Kuzovlev equalities in quantum two-level systems
• Non-equilibrium readiness and accuracy of Gaussian Quantum Thermometers
• Quantum jump model for a system with a finite-size environment
• Spin-phase-space-entropy production
• The Unruh Quantum Otto Engine
• Fluctuation theorems for non-Markovian quantum processes
• Quantum work statistics and resource theories: bridging the gap through Renyi divergences
• Thermodynamic description of non-Markovian information flux of nonequilibrium open quantum systems
• The reaction coordinate mapping in quantum thermodynamics
• One and two-dimensional quantum models: quenches and the scaling of irreversible entropy
• Fluctuations of work in nearly adiabatically driven open quantum systems
• Reconstructing quantum entropy production to probe irreversibility and correlations
• Quantum dissipative adaptation
• Floquet topological systems in the vicinity of band crossings: Reservoir induced coherence and steady-state entropy production
• Nonequilibrium Quantum Free Energy and Effective Temperature, Generating Functional and Influence Action
• Non-equilibrium thermodynamics of continuously measured quantum systems: a circuit-QED implementation
• Thermodynamic utility of Non-Markovianity from the perspective of resource interconversion
• Characterizing a statistical arrow of time in quantum measurement dynamics
• Dependence of integrated, instantaneous, and fluctuating entropy production on the initial state in quantum and classical processes
• Quantum work distribution for a driven diatomic molecule
• Quantum thermodynamics of holographic quenches and bounds on the growth of entanglement from the QNEC
• Nonequilibrium Thermodynamics and Steady State Density Matrix for Quantum Open Systems
• Nonequilibrium thermodynamics of quantum coherence beyond linear response
• Efficiency Optimization in Quantum Computing: Balancing Thermodynamics and Computational Performance
• von Neumann entropy and the entropy production of a damped harmonic oscillator
• Irreversibility at zero temperature from the perspective of the environemnt
• Conditional entropy production and quantum fluctuation theorem of dissipative information: Theory and experiments
• Irreversibility in a unitary finite-rate protocol: The concept of internal friction
• Information Fluctuation Theorem for an Open Quantum Bipartite System
• Fluctuation theorems in feedback-controlled open quantum systems: quantum coherence and absolute irreversibility
• Non-Markovian Momentum Computing: Universal and Efficient
• Quantum uncertainty in critical systems with three spins interaction
• Thermodynamic principles and implementations of quantum machines
• Inferring work by quantum superposing forward and time-reversal evolutions
• Emergence of Opposing Arrows of Time in Open Quantum Systems
• Accumulative reservoir construction: Bridging continuously relaxed and periodically refreshed extended reservoirs
• Efficiency bounds for nonequilibrium heat engines
• Qubit thermodynamics far from equilibrium: two perspectives about the nature of heat and work in the quantum regime
• Exchange fluctuation theorems for strongly interacting quantum pumps
• Prethermal memory loss in interacting quantum systems coupled to thermal baths
• Heat current and entropy production rate in local non-Markovian quantum dynamics of global Markovian evolution
• Conditional fluctuation theorems and entropy production for monitored quantum systems under imperfect detection
• The entropy production of thermal operations
• Deformed Jarzynski Equality
• Characterizing irreversibility in open quantum systems
• Pseudomode treatment of strong-coupling quantum thermodynamics
• Energetic cost for speedy synchronization in non-Hermitian quantum dynamics
• Work and Fluctuations: Coherent vs. Incoherent Ergotropy Extraction
• Semi-classical work and quantum work identities in Weyl representation
• Nonequilibrium thermodynamics and optimal cooling of a dilute atomic gas
• Entropy production for complex Langevin equations
• Irreversibility mitigation in unital non-Markovian quantum evolutions
• Alternative experimental ways to access entropy production
• Reinforcement Learning Approach to Shortcuts between Thermodynamic States with Extra Constraints
• Nonequilibrium work equalities in isolated quantum systems
• DQC1 as an Open Quantum System
• Exact steady state of perturbed open quantum systems
• Experimentally probing entropy reduction via iterative quantum information transfer
• Quantum Fluctuations of Entropy Production for Fermionic Systems in Landauer-Buttiker State
• Multiparty Spohn's theorem for a combination of local Markovian and non-Markovian quantum dynamics
• Generalized Clausius inequalities and entanglement production in holographic two-dimensional CFTs
• Thermodynamics of memory erasure via a spin reservoir
• Geometrical bounds on irreversibility in squeezed thermal bath
• Stochastic entropy production associated with quantum measurement in a framework of Markovian quantum state diffusion
• Quantum stochastic thermodynamics in the mesoscopic-leads formulation
• Characterizing the spontaneous collapse of a wavefunction through entropy production
• Time-reversal of an unknown quantum state
• Effects from Additional Random Configuration to Linear Response and Modified Fluctuation-Dissipation Relation
• Quantum Thermodynamics of Open Quantum Systems: Nature of Thermal Fluctuations
• Noise as a resource
• Coherence dynamics induced by attenuation and amplification Gaussian channels
• Irreversibility and correlations in coupled quantum oscillators
• Renyi divergences, Bures geometry and quantum statistical thermodynamics
• Unitary-Scaling Decomposition and Dissipative Behaviour in Finite-Dimensional Linblad Dynamics
• Stochastic Thermodynamics of Non-reciprocally Interacting Particles and Fields
• Thermodynamic perspective on quantum fluctuations
• Local energy assignment for two interacting quantum thermal reservoirs
• Quantum Euler relation for local measurements
• Relative entropy formulation of thermalization process in a Schwarzschild spacetime
• Non-equilibrium thermodynamics of gravitational objective-collapse models
• Speedup of thermodynamic entropy production via quantum dynamical criticality
• Anomalous Heat Transfer in Nonequilibrium Quantum Systems
• Full Quantum Work Statistics for Non-Homogeneous Many-Body Systems
• Experimental verification of a reversed Clausius inequality in an isolated system
• On the energetic analysis of autonomous quantum systems
• Unification of Stochastic and Quantum Thermodynamics in Scalar Field Theory via a Model with Brownian Thermostat
• Modelling mechanical equilibration processes of closed quantum systems: a case-study
• Geometric Thermodynamics in Open Quantum Systems: Coherence, Curvature, and Work
• Fluctuation theorems for autonomous work
• Entropy Production and the Role of Correlations in Quantum Brownian Motion
• Entropy production versus memory effects in two-level open quantum systems
• Single-Atom Verification of the Information-Theoretical Bound of Irreversibility at the Quantum Level
• Quantum thermodynamics under continuous monitoring: a general framework
• Quantum speed limit for observables from quantum asymmetry
• Switching of the information backflow between a helical spin system and non-Markovian bath