Irreversible entropy production, from quantum to classical

Abstract

Entropy production is a key quantity in any finite-time thermodynamic process. It is intimately tied with the fundamental laws of thermodynamics, embodying a tool to extend thermodynamic considerations all the way to non-equilibrium processes. It is also often used in attempts to provide the quantitative characterization of logical and thermodynamic irreversibility, stemming from processes in physics, chemistry and biology. Notwithstanding its fundamental character, a unifying theory of entropy production valid for general processes, both classical and quantum, has not yet been formulated. Developments pivoting around the frameworks of stochastic thermodynamics, open quantum systems, and quantum information theory have led to substantial progress in such endeavour. This has culminated in the unlocking of a new generation of experiments able to address stochastic thermodynamic processes and the impact of entropy production on them. This paper aims to provide a compendium on the current framework for the description, assessment and manipulation of entropy production. We present both formal aspects of its formulation and the implications stemming from the potential quantum nature of a given process, including a detailed survey of recent experiments.

References in corpus (37)

• Quantum States and Phases in Driven Open Quantum Systems with Cold Atoms
• Thermodynamic uncertainty relation for biomolecular processes
• Fluctuation theorems: Work is not an observable
• Description of quantum coherence in thermodynamic processes requires constraints beyond free energy
• Quantum coherence, time-translation symmetry and thermodynamics
• The resource theory of quantum reference frames: manipulations and monotones
• High-precision test of Landauer's principle in a feedback trap
• Ensemble and Trajectory Thermodynamics: A Brief Introduction
• Dissipative Phase Transition in Central Spin Systems
• Roton-type mode softening in a quantum gas with cavity-mediated long-range interactions
• The role of quantum measurement in stochastic thermodynamics
• Nonequilibrium fluctuations in quantum heat engines: Theory, example, and possible solid state experiments
• Critical dynamical properties of a first-order dissipative phase transition
• Gaussian states in continuous variable quantum information
• Metric adjusted skew information
• Fluctuation theorems in driven open quantum systems
• Measuring the dynamic structure factor of a quantum gas undergoing a structural phase transition
• The Wigner Entropy Production Rate
• Implications of non-Markovian dynamics for the Landauer bound
• Exact master equation for a spin interacting with a spin bath: Non-Markovianity and negative entropy production rate
• Dynamical role of system-environment correlations in non-Markovian dynamics
• Verschraenkung versus Stosszahlansatz: Disappearance of the Thermodynamic Arrow in a High-Correlation Environment
• Assessing the non-equilibrium thermodynamics in a quenched quantum many-body system via single projective measurements
• Criticality revealed through quench dynamics the Lipkin-Meshkov-Glick model
• Quantum jumps and entropy production
• The multilevel four-stroke swap engine and its environment
• Entropy production and non-Markovian dynamical maps
• Stroboscopic two-stroke quantum heat engines
• Non-Abelian Quantum Transport and Thermosqueezing Effects
• Entropy production in linear Langevin systems
• Equivalent definitions of the quantum nonadiabatic entropy production
• Critical behavior of entropy production and learning rate: Ising model with an oscillating field
• Group-theoretical approach to the calculation of quantum work distribution
• Reversibility, heat dissipation and the importance of the thermal environment in stochastic models of nonequilibrium steady states
• Wigner entropy production and heat transport in linear quantum lattices
• Quantum features of entropy production in driven-dissipative transitions
• Coarse-graining in the derivation of Markovian master equations and its significance in quantum thermodynamics

Cited by in corpus (241)

• Quantum collision models: open system dynamics from repeated interactions
• Colloquium: Quantum Batteries
• Quantum thermodynamic devices: from theoretical proposals to experimental reality
• Quantum technologies need a Quantum Energy Initiative
• Thermodynamic Unification of Optimal Transport: Thermodynamic Uncertainty Relation, Minimum Dissipation, and Thermodynamic Speed Limits
• Current fluctuations in open quantum systems: Bridging the gap between quantum continuous measurements and full counting statistics
• Quantum Engines and Refrigerators
• Thermodynamics of Precision in Markovian Open Quantum Dynamics
• Thermodynamics of the quantum Mpemba effect
• Variance Sum Rule for Entropy Production
• Energy dynamics, heat production and heat-work conversion with qubits: towards the development of quantum machines
• Open-system approach to nonequilibrium quantum thermodynamics at arbitrary coupling
• Topological Speed Limit
• Daemonic ergotropy in continuously-monitored open quantum batteries
• The role of quantum coherence in energy fluctuations
• Collective advantages in finite-time thermodynamics
• Toward relaxation asymmetry: Heating is faster than cooling
• Quantum superposition of thermodynamic evolutions with opposing time's arrows
• Roadmap on Quantum Thermodynamics
• Thermodynamic Computing via Autonomous Quantum Thermal Machines
• Extending the laws of thermodynamics for arbitrary autonomous quantum systems
• Battery charging in collision models with Bayesian risk strategies
• Thermodynamics of active matter: Tracking dissipation across scales
• Quantum thermodynamics with fast driving and strong coupling via the mesoscopic leads approach
• Continuous thermomajorization and a complete set of laws for Markovian thermal processes
• Probabilistically Violating the First Law of Thermodynamics in a Quantum Heat Engine
• Dynamical heat engines with non--Markovian reservoirs
• Hybrid quantum thermal machines with dynamical couplings
• Role of Quantum Coherence in Kinetic Uncertainty Relations
• Fundamental bounds on precision and response for quantum trajectory observables
• Multitask quantum thermal machines and cooperative effects
• Quantum coherence enables hybrid multitask and multisource regimes in autonomous thermal machines
• Unification of the first law of quantum thermodynamics
• Informational steady-states and conditional entropy production in continuously monitored systems
• Optimizing thermalizations
• Thermodynamics and the quantum speed limit in the non-Markovian regime
• Quantum Fluctuation Theorem under Continuous Measurement and Feedback
• Non-Abelian transport distinguishes three usually equivalent notions of entropy production
• Quantum non-stationary phenomena of spin systems in collision models
• Measurement-based quantum thermal machines with feedback control
• Dynamically Emergent Quantum Thermodynamics: Non-Markovian Otto Cycle
• Thermodynamics of decoherence
• Exploring quantum thermodynamics with NMR
• Experimental signature of initial quantum coherence on entropy production
• Dynamical invariant based shortcut to equilibration in open quantum systems
• Quantum thermodynamics of boundary time-crystals
• Thermal brachistochrone for harmonically confined Brownian particles
• Dependence of integrated, instantaneous, and fluctuating entropy production on the initial state in quantum and classical processes
• Quantum thermodynamics of holographic quenches and bounds on the growth of entanglement from the QNEC
• Correlation-boosted quantum engine: A proof-of-principle demonstration
• Invasiveness of non-equilibrium quantum thermometry
• Maxwell's Demon walks into Wall Street: Stochastic Thermodynamics meets Expected Utility Theory
• Entropy production rate and correlations of cavity magnomechanical system
• Optimal time estimation and the clock uncertainty relation for stochastic processes
• Precision is not limited by the second law of thermodynamics
• Negative entropy production rates in Drude-Sommerfeld metals
• Experimental simulation of daemonic work extraction in open quantum batteries on a digital quantum computer
• Entropy production of active particles in underdamped regime
• Reliable quantum advantage in quantum battery charging
• Nonequilibrium thermodynamics of quantum coherence beyond linear response
• Non-Markovian dynamics under time-translation symmetry
• Nonequilibrium thermodynamics and power generation in open quantum optomechanical systems
• Dissipation-induced collective advantage of a quantum thermal machine
• Two-point measurement of entropy production from the outcomes of a single experiment with correlated photon pairs
• Entropy production and fluctuation theorems in a continuously monitored optical cavity at zero temperature
• Strong Coupling Quantum Thermodynamics far away from Equilibrium: Non-Markovian Transient Quantum Heat and Work
• Conditional entropy production and quantum fluctuation theorem of dissipative information: Theory and experiments
• Erasure tolerant quantum memory and the quantum null energy condition in holographic systems
• Dissipative dynamics of an open quantum battery in the BTZ spacetime
• Few-qubit quantum refrigerator for cooling a multi-qubit system
• Strong coupling non-Markovian quantum thermodynamics of a finite-bath system
• Periodically refreshed quantum thermal machines
• Particle current statistics in driven mesoscale conductors
• Quantum Ergotropy and Quantum Feedback Control
• Optimal control of dissipation and work fluctuations for rapidly driven systems
• Spins-based Quantum Otto Engines and Majorisation
• Nonequilibrium work distributions in quantum impurity system-bath mixing processes
• Finite-time two-spin quantum Otto engines: shortcuts to adiabaticity vs. irreversibility
• Non-equilibrium quantum thermodynamics of a particle trapped in a controllable time-varying potential
• Coherence-enhanced thermodynamic performance in a periodically-driven inelastic heat engine
• Thermodynamic uncertainty relation from involutions
• Closed-System Solution of the 1D Atom from Collision Model
• The irreversibility of relativistic time-dilation
• Correlated quantum machines beyond the standard second law
• Quantum and classical contributions to entropy production in fermionic and bosonic Gaussian systems
• Experimentally probing Landauer's principle in the quantum many-body regime
• Quantum switch instabilities with an open control
• Quantum master equation for many-body systems: Derivation based on the Lieb-Robinson bound
• Synchronization-induced violation of thermodynamic uncertainty relations
• Variance sum rule: proofs and solvable models
• Entropy production in the mesoscopic-leads formulation of quantum thermodynamics
• Demonstrating Quantum Microscopic Reversibility Using Coherent States of Light
• Lower bound for entropy production rate in stochastic systems far from equilibrium
• Detailed fluctuation theorem bounds apparent violations of the second law
• Eigenstate Fluctuation Theorem in the Short and Long Time Regimes
• Precision bounds for multiple currents in open quantum systems
• Gauge invariant quantum thermodynamics: consequences for the first law
• Pseudomode treatment of strong-coupling quantum thermodynamics
• Open Quantum Rotors: Connecting Correlations and Physical Currents
• Fluctuation Theorems for multitime processes
• Thermodynamic Skewness Relation From Detailed Fluctuation Theorem
• Conditional fluctuation theorems and entropy production for monitored quantum systems under imperfect detection
• Two applications of stochastic thermodynamics to hydrodynamics
• Quantifying protocol efficiency: a thermodynamic figure of merit for classical and quantum state-transfer protocols
• Energetic cost for speedy synchronization in non-Hermitian quantum dynamics
• General Framework for Quantifying Dissipation Pathways in Open Quantum Systems. I. Theoretical Formulation
• Moment generating function bound from detailed fluctuation theorem
• Generalised second law beyond the semiclassical regime
• Contextuality in anomalous heat flow
• Informational steady-states and conditional entropy production in continuously monitored systems: the case of Gaussian systems
• Detecting heat leaks with trapped ion qubits
• Fidelity-dissipation relations in quantum gates
• Role of Dilations in Reversing Physical Processes: Tabletop Reversibility and Generalized Thermal Operations
• Cavity-Heisenberg spin-$j$ chain quantum battery and reinforcement learning optimization
• Multiple entropy production for multitime quantum processes
• Ensemble dependence of information-theoretic contributions to the entropy production
• Certifying quantum enhancements in thermal machines beyond the Thermodynamic Uncertainty Relation
• On the role of initial coherence in the spin phase-space entropy production rate
• Work statistics and thermal phase transitions
• Alternative experimental ways to access entropy production
• Two-point measurement energy statistics from particle scattering
• Efficiency and thermodynamic uncertainty relations of a dynamical quantum heat engine
• Observational entropy with general quantum priors
• Thermodynamic entropy production in the dynamical Casimir effect
• Experimentally probing entropy reduction via iterative quantum information transfer
• (Thermo-)dynamics of the spin-boson model in the weak coupling regime: Application as a quantum battery
• Colored noise driven unitarity violation causing dynamical quantum state reduction
• Quasiprobability fluctuation theorem behind the spread of quantum information
• Characterization and optimization of heat engines: Pareto-optimal fronts and universal features
• Quantum thermochemical engines
• Upper bound for quantum entropy production from entropy flux
• Initial-state-dependent quantum speed limit for dissipative state preparation: Framework and optimization
• Quantum thermal machine as a rectifier
• Fluctuation theorem for irreversible entropy production in electrical conduction
• Non-equilibrium boundary driven quantum systems: models, methods and properties
• Entropy bound for time reversal markers
• Quantum fluctuation theorem in a curved spacetime
• Minimum time connection between non-equilibrium steady states: the Brownian gyrator
• Experimental Verification of Demon-Involved Fluctuation Theorems
• Force-current structure in Markovian open quantum systems and its applications: geometric housekeeping-excess decomposition and thermodynamic trade-off relations
• Foundational Issues in Dynamical Casimir Effect and Analogue Features in Cosmological Particle Creation
• Dimensional measures of generalized entropy
• How Gubser flow ends in a holographic conformal theory
• Quantum quench thermodynamics at high temperatures
• Generalized Clausius inequalities and entanglement production in holographic two-dimensional CFTs
• Necessity of Feedback Control for the Quantum Maxwell Demon in a Finite-Time Steady Feedback Cycle
• Quantum work statistics across a critical point: full crossover from sudden quench to the adiabatic limit
• Geometrical bounds on irreversibility in squeezed thermal bath
• Stochastic entropy production: Fluctuation relation and irreversibility mitigation in non-unital quantum dynamics
• Local and global approaches to the thermodynamics of pure decoherence processes in open quantum systems
• Thermodynamic bounds on the asymmetry of cross-correlations with dynamical activity and entropy production
• Graph theoretic analysis of three-terminal quantum dot thermocouples: Onsager relations and spin-thermoelectric effects
• Possibility of the total thermodynamic entropy production rate of a finite-sized isolated quantum system to be negative for the Gorini-Kossakowski-Sudarshan-Lindblad-type Markovian dynamics of its subsystem
• Global optimization and monotonicity in entropy production of weak drivings
• Entropy production and correlation spreading in the interaction between particle detector and thermal baths
• Experimental realization of optimal time-reversal on an atom chip for quantum undo operations
• Availing non-Markovian dynamics in effective negative temperature-based transient quantum Otto engines
• Autonomous Quantum Processing Unit: An Autonomous Thermal Computing Machine & its Physical Limitations
• Flat-band thermodynamics reveals enhanced performance across Otto, Carnot, and Stirling cycles
• Distinguishing pure and thermal states by Landauer's principle in open systems
• Rapid on-demand generation of thermal states in superconducting quantum circuits
• Optimizing energy conversion with nonthermal resources in steady-state quantum devices
• Characterizing the spontaneous collapse of a wavefunction through entropy production
• Quantum Thermodynamics of Open Quantum Systems: Nature of Thermal Fluctuations
• Random Lindblad operators obeying detailed balance
• Illusory cracks in the second law of thermodynamics in quantum nanoelectronics
• Spin-chain based quantum thermal machines
• Hybrid interacting quantum Hall thermal machine
• Quantum Fluctuation Theorem for Arbitrary Measurement and Feedback Schemes
• Bipartite OTOC in open quantum systems: information scrambling and irreversibility
• Quantum Coding with Finite Thermodynamic Resources
• Thermodynamics of coupled time crystals with an application to energy storage
• From basic science to technological development: the case for two avenues
• Bosonic two-stroke heat engines with polynomial nonlinear coupling
• Speedup of thermodynamic entropy production via quantum dynamical criticality
• Non-equilibrium thermodynamics of gravitational objective-collapse models
• Experimental demonstration of generalized quantum fluctuation theorems in the presence of coherence
• Thermodynamic interpretation to Stochastic Fisher Information and Single-Trajectory Speed Limits
• A Finite-Time Quantum Otto Engine subject to Control Noise and Enhancement Techniques
• Anomalous Heat Transfer in Nonequilibrium Quantum Systems
• Energy change and Landauer's principle in the interaction between qubit and quantum field theory
• Evidence of genuine quantum effects in nonequilibrium entropy production
• Non-equilibrium quantum thermodynamics of a particle trapped in a controllable time-varying potential
• Entropy Production from Maximum Entropy Principle: a Unifying Approach
• Thermodynamics of autonomous optical Bloch equations
• Local energy assignment for two interacting quantum thermal reservoirs
• The singularities of the rate function of quantum coherent work in one-dimensional transverse field Ising model
• Evidence for simple "arrow of time functions" in closed chaotic quantum systems
• Reconciling nonlinear dissipation with the bilinear model of two Brownian particles
• Conditional quantum thermometry -- enhancing precision by measuring less
• Heat operator approach to quantum stochastic thermodynamics in the strong-coupling regime
• Phase space measures of information flow in open systems: A quantum and classical perspective of non-Markovianity
• On the energetic analysis of autonomous quantum systems
• Lower Bound on Irreversibility in Thermal Relaxation of Open Quantum Systems
• Typical Positivity of Nonequilibrium Entropy Production for Pure States
• Minimizing Dissipation via Interacting Environments: Quadratic Convergence to Landauer Bound
• A unified framework of unitarily residual measures for quantifying dissipation
• Violation of the thermodynamic uncertainty relation in quantum collisional models
• Squeezing generation crossing a mean-field critical point: Work statistics, irreversibility and critical fingerprints
• Unravelling the Flow of Information in a Nonequilibrium Process in the Presence of Hydrodynamic Interactions
• Restoring the second law to classical-quantum dynamics
• Quadratic Hamiltonian approach to heat transport in fermionic systems
• Coherent heat exchange in a prethermalizing open quantum system
• Quantum speed limits based on Jensen-Shannon and Jeffreys divergences for general physical processes
• Current fluctuations in nonequilibrium open quantum systems beyond weak coupling: a reaction coordinate approach
• Optomechanics for quantum technologies
• Modelling mechanical equilibration processes of closed quantum systems: a case-study
• Fluctuation and dissipation in memoryless open quantum evolutions
• Thermodynamics of photoelectric devices
• Emergence of the 2nd Law in an Exactly Solvable Model of a Quantum Wire
• Entropy production versus memory effects in two-level open quantum systems
• Asymmetric steerability of quantum equilibrium and nonequilibrium steady states through entanglement detection
• Relativistic entropy production for quantum field in cavity
• Enhancing entanglement and total correlations dynamics via local unitaries
• Finite-Bath Open Quantum Systems: Exact Dynamics
• Ancilla measurement-based Quantum Otto engine using double-pair spin architecture
• Collective Quantum Batteries and Charger-Battery Setup in Open Quantum Systems: Impact of Inter-Qubit Interactions, Dissipation, and Quantum Criticality
• Thermodynamic uncertainty relations for relativistic quantum thermal machines
• Entropy production in non-Markovian collision models: Information backflow vs system-environment correlations
• Entropy Production and the Role of Correlations in Quantum Brownian Motion
• Time-cost-error trade-off relation in thermodynamics: The third law and beyond
• Classical dissipative cost of quantum control
• Information-thermodynamic bounds on precision in interacting quantum systems
• Universal Statistics of Charges Exchanges in Non-Abelian Quantum Transport
• Broken Detailed Balance and Entropy Production in CPTP Quantum Brownian Motion
• Optimal control strategy for collisional Brownian engines
• The correlational entropy production during the local relaxation in a many body system with Ising interactions
• Ergotropy-Based Quantum Thermodynamics
• Entropic costs of extracting classical ticks from a quantum clock
• Thermodynamic speed limit for non-adiabatic work and its classical-quantum decomposition
• Efficient measure of information backflow with a quasistochastic process
• Effective Hamiltonian approach to the exact dynamics of open system by complex discretization approximation for environment
• Locally controlled arrested thermalization
• Integral fluctuation theorems and trace-preserving map
• Quantum Effects in Ion Transport: A Thermodynamic Resource Theory Approach
• Entropic signature of resonant thermal transport: Ordered form of heat conduction
• Quantum thermodynamics under continuous monitoring: a general framework
• Nonadiabatic evolution and thermodynamics for a boundary-driven system with a weak intrasubsystem interaction
• Stochastic dynamics from maximum entropy in action space
• Thermodynamic efficiency of self-organisation in nonequilibrium steady states
• Global-Local Duality of Energetic Control Cost in Multipartite Quantum Correlated Systems