Colloquium. Quantum Fluctuation Relations: Foundations and Applications

Abstract

Two fundamental ingredients play a decisive role in the foundation of fluctuation relations: the principle of microreversibility and the fact that thermal equilibrium is described by the Gibbs canonical ensemble. Building on these two pillars we guide the reader through a self-contained exposition of the theory and applications of quantum fluctuation relations. These are exact results that constitute the fulcrum of the recent development of nonequilibrium thermodynamics beyond the linear response regime. The material is organized in a way that emphasizes the historical connection between quantum fluctuation relations and (non)-linear response theory. We also attempt to clarify a number of fundamental issues which were not completely settled in the prior literature. The main focus is on (i) work fluctuation relations for transiently driven closed or open quantum systems, and (ii) on fluctuation relations for heat and matter exchange in quantum transport settings. Recently performed and proposed experimental applications are presented and discussed.

25 pages. Published version + Addendum/Erratum

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• Anomalous transport in driven periodic systems: distribution of the absolute negative mobility effect in the parameter space
• Quantum refrigerators in finite-time cycle duration
• Quantum work distributions associated with the dynamical Casimir effect
• Nonequilibrium transport and statistics of Schwinger pair production in Weyl semimetals
• Bose-Hubbard ladder subject to effective magnetic field: quench dynamics in a harmonic trap
• A unified picture of strong coupling stochastic thermodynamics and time reversals
• Nonequilibrium work and entropy production by quantum projective measurements
• Improved bound on entropy production in a quantum annealer
• Spontaneous fluctuation-symmetry breaking and the Landauer principle
• Experimental signature of initial quantum coherence on entropy production
• Thermodynamical path integral and emergent symmetry
• Microreversibility, nonequilibrium current fluctuations, and response theory
• Work statistics, irreversible heat and correlations build-up in joining two spin chains
• Derivation of quantum work equalities using quantum Feynman-Kac formula
• Probing coherent quantum thermodynamics using a trapped ion
• Non-equilibrium thermodynamics of continuously measured quantum systems: a circuit-QED implementation
• Extended Clausius Relation and Entropy for Nonequilibrium Steady States in Heat Conducting Quantum Systems
• Energetics of a driven Brownian harmonic oscillator
• Characterizing a statistical arrow of time in quantum measurement dynamics
• Fluctuation relations for anomalous dynamics generated by time-fractional Fokker-Planck equations
• Current fluctuations in nonequilibrium discontinuous phase transitions
• Microreversibility, fluctuations, and nonlinear transport in transistors
• Work fluctuation-dissipation trade-off in heat engines
• Multilevel quantum thermodynamic swap engines
• Conditional work statistics of quantum measurements
• Thermodynamic anomaly of the free damped quantum particle: the bath perspective
• On the Brukner-Zeilinger approach to information in quantum measurements
• Joint measurability in nonequilibrium quantum thermodynamics
• The First Law of Quantum Field Thermodynamics
• Quantum corrections of work statistics in closed quantum systems
• Quantum transport of double quantum dots coupled to an oscillator in arbitrary strong coupling regime
• Correlation-boosted quantum engine: A proof-of-principle demonstration
• Quasi-probabilities of work and heat in an open quantum system
• Quantum statistical mechanical derivation of the second law of thermodynamics: a hybrid setting approach
• Momentum-space entanglement and Loschmidt echo in Luttinger liquids after a quantum quench
• Dependence of integrated, instantaneous, and fluctuating entropy production on the initial state in quantum and classical processes
• Efficiency large deviation function of quantum heat engines
• Equilibration and thermalization of the dissipative quantum harmonic oscillator in a non-thermal environment
• Numerically "exact" simulations of entropy production in the fully quantum regime: Boltzmann entropy versus von Neumann entropy
• Work Relations Connecting Nonequilibrium Steady States Without Detailed Balance
• Quantum work distribution for a driven diatomic molecule
• Experimental study of quantum thermodynamics using optical vortices
• Fluctuating work in coherent quantum systems: proposals and limitations
• Nonequilibrium thermodynamics of quantum coherence beyond linear response
• Heat transfer statistics in extreme-near-field radiation
• Fluctuations of work cost in optimal generation of correlations
• Measurement of work and heat in the classical and quantum regimes
• Understanding quantum work in a quantum many-body system
• Contributions from populations and coherences in non-equilibrium entropy production
• Friction-free quantum machines
• Work Extraction from a Single Energy Eigenstate
• Quantum work for sudden quenches in Gaussian random Hamiltonians
• Fluctuation Theorem for a Small Engine and Magnetization Switching by Spin Torque
• Time reversals of irreversible quantum maps
• Quantum Jarzynski equality of measurement-based work extraction
• Stochastic thermodynamics based on incomplete information: Generalized Jarzynski equality with measurement errors with or without feedback
• 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
• Universal bounds on cooling power and cooling efficiency for autonomous absorption refrigerators
• Quantum thermodynamics for a model of an expanding universe
• Micro-reversibility and thermalization with collisional baths
• Influence of Non-Markovian Dynamics in Thermal-Equilibrium Uncertainty-Relations
• Heat transfer statistics in mixed quantum-classical systems
• Thermodynamic quantum Fokker-Planck equations and their application to thermostatic Stirling engine
• Experimental quantum thermodynamics with linear optics
• Quantum Violation of Fluctuation-Dissipation Theorem
• Full counting statistics of information content in the presence of Coulomb interaction
• Statistics of heat transport across capacitively coupled double quantum dot circuit
• Quantifying non-Markovianity due to driving and a finite-size environment in an open quantum system
• Geometric phaselike effects in a quantum heat engine
• Rectification and non-Gaussian diffusion in heterogeneous media
• Nonadiabatic coupled-qubit Otto cycle with bidirectional operation and efficiency gains
• Scaling of decoherence and energy flow in interacting quantum spin systems
• Thermostated Hamiltonian dynamics with log-oscillators
• Stiffness of Probability Distributions of Work and Jarzynski Relation for Non-Gibbsian Initial States
• Revealing the strokes of autonomous quantum heat engines with work and heat fluctuations
• $\mathcal{P}\mathcal{T}$-symmetric effects in measurement-based quantum thermal machines
• Distribution of energy dissipated by a driven two-level system
• Fluctuation Theorems and the Generalised Gibbs Ensemble in Integrable Systems
• Mean Field Theory of Thermal Energy Transport in Molecular Junctions
• Information Fluctuation Theorem for an Open Quantum Bipartite System
• Exchange fluctuation theorem for heat transport between multi-terminal harmonic systems
• An integral fluctuation theorem for systems with unidirectional transitions
• Dissipative dynamics of an open quantum battery in the BTZ spacetime
• Fluctuations of the heat exchanged between two quantum spin chains
• Statistics of heat exchange between two resistors
• Dephasing and dissipation in qubit thermodynamics
• Fluctuations in Single-Shot $\epsilon$-Deterministic Work Extraction
• Calculating work in weakly driven quantum master equations: backward and forward equations
• Quasi-autonomous quantum thermal machines and quantum to classical energy flow
• Experimental demonstration of input-output indefiniteness in a single quantum device
• Jarzynski-like Equality of Nonequilibrium Information Production Based on Quantum Cross Entropy
• Study of bounds on non-equilibrium fluctuations for asymmetrically driven quantum Otto engine
• Optimizing Brownian heat engine with shortcut strategy
• Quantum-classical correspondence principle for heat distribution in quantum Brownian motion
• Reduced Dynamics of Full Counting Statistics
• Fluctuation theorems and thermodynamic uncertainty relations
• Conditional entropy production and quantum fluctuation theorem of dissipative information: Theory and experiments
• Non-equilibrium quantum thermodynamics in Coulomb crystals
• On the distribution of the mean energy in the unitary orbit of quantum states
• Fluctuation theorems in feedback-controlled open quantum systems: quantum coherence and absolute irreversibility
• Quantum detailed balance conditions and fluctuation relations for thermalizing quantum dynamics
• The characteristic functions of quantum heat with baths at different temperatures
• Stochastic approach and fluctuation theorem for charge transport in diodes
• Relation between far-from-equilibrium dynamics and equilibrium correlation functions for binary operators
• Work statistics for sudden quenches in interacting quantum many-body systems
• Macroscopic Length Correlations in Non-Equilibrium Systems and Their Possible Realizatons
• Counting statistics and microreversibility in stochastic models of transistors
• Quantum Work Fluctuations in connection with Jarzynski Equality
• A quantum fluctuation theorem for any Lindblad master equation
• Precision bound and optimal control in periodically modulated continuous quantum thermal machines
• Reconciling perturbative approaches in phonon assisted transport junctions
• Quantum Ergotropy and Quantum Feedback Control
• Functional field integral approach to quantum work
• Particle-number scaling of the quantum work statistics and Loschmidt echo in Fermi gases with time-dependent traps
• Fluctuation relations and strong inequalities for thermally isolated systems
• Quantum Work Relations and Response Theory in $\mathcal{P}\mathcal{T}$-Symmetric Quantum Systems
• Resource theory of quantum thermodynamics: Thermal operations and Second Laws
• Generalized energy measurements and quantum work compatible with fluctuation theorems
• Violation of Onsager's theorem in approximate master equation approaches
• Coherence-enhanced thermodynamic performance in a periodically-driven inelastic heat engine
• Optimal work extraction from quantum batteries based on the expected utility hypothesis
• Maxwell's demon across the quantum-to-classical transition
• Modern Concepts of Quantum Equilibration Do Not Rule Out Strange Relaxation Dynamics
• Merits and Qualms of Work Fluctuations in Classical Fluctuation Theorems
• Cavity assisted measurements of heat and work in optical lattices
• Open Quantum Dynamics Theory for Non-Equilibrium Work: Hierarchical Equations of Motion Approach
• Inferring work by quantum superposing forward and time-reversal evolutions
• Stochastic Floquet quantum heat engines and stochastic efficiencies
• Entropy production in photovoltaic-thermoelectric nanodevices from the non-equilibrium Green's function formalism
• Nonequilibrium work distributions in quantum impurity system-bath mixing processes
• Irreversible Work versus Fidelity Susceptibility for infinitesimal quenches
• The laws of thermodynamics for quantum dissipative systems: A quasi-equilibrium Helmholtz energy approach
• Work Fluctuations in Bosonic Josephson Junctions
• Entropy of the quantum work distribution
• Unified entropies and quantum speed limits for nonunitary dynamics
• AC transport and full-counting statistics of molecular junctions in the weak electron-vibration coupling regime
• Quasiparticle entropy in superconductor/normal metal/superconductor proximity junctions in the diffusive limit
• Short time dynamics of molecular junctions after projective measurement
• What Can We Learn from Noise? -- Mesoscopic Nonequilibrium Statistical Physics --
• Singularities, mixing and non-Markovianity of Pauli dynamical maps
• Work statistics in non-Hermitian evolutions with Hermitian endpoints
• The irreversibility of relativistic time-dilation
• Hierarchical equations of motion for multiple baths (HEOM-MB) and their application to Carnot cycle
• Thermodynamic Geometry of Nonequilibrium Fluctuations in Cyclically Driven Transport
• Detection of quantum phase boundary at finite temperatures in integrable spin models
• Semiclassical approach to the work distribution
• Cluster expansion for ground states of local Hamiltonians
• Fluctuation theorems without time-reversal symmetry
• An exactly solvable model of calorimetric measurements
• Lower bound for entropy production rate in stochastic systems far from equilibrium
• Principle of Minimal Work Fluctuations
• Nonequilibrium quantum thermodynamics of determinantal many-body systems: Application to the Tonks-Girardeau and ideal Fermi gases
• Computing characteristic functions of quantum work in phase space
• Work distribution in a photonic system
• Quantum adiabatic protocols using emergent local Hamiltonians
• Symmetry-induced fluctuation relations for dynamical observables irrespective of their behaviour under time-reversal
• Dissipated work and fluctuation relations for non-equilibrium single-electron transitions
• Non-equilibrium charge susceptibility and dynamical conductance: Identification of scattering processes in quantum transport
• A Stable, Recursive Auxiliary Field Quantum Monte Carlo Algorithm in the Canonical Ensemble: Applications to Thermometry and the Hubbard Model
• Quantum and classical contributions to entropy production in fermionic and bosonic Gaussian systems
• Detailed fluctuation theorem bounds apparent violations of the second law
• Exchange fluctuation theorems for strongly interacting quantum pumps
• Energetic fluctuations in an open quantum process
• Derivation of the not-so-common fluctuation theorems
• Correlations break homogenization
• Energy conservation and fluctuation theorem are incompatible for quantum work
• Independent-oscillator model and the quantum Langevin equation for an oscillator: A review
• Decomposable coherence and quantum fluctuation relations
• Demonstrating Quantum Microscopic Reversibility Using Coherent States of Light
• Escort distribution function of work done and diagonal entropies in quenched Luttinger liquids
• Macroscopic realism of quantum work fluctuations
• Eigenstate Fluctuation Theorem in the Short and Long Time Regimes
• Unifying quantum heat transfer in a nonequilibrium spin-boson model with full counting statistics
• Work extraction in an isolated quantum lattice system: Grand canonical and generalized Gibbs ensemble predictions
• Anti-Dynamical Casimir Effect as a Resource for Work Extraction
• Work fluctuation theorem for a classical circuit coupled to a quantum conductor
• Quantum Jarzynski Equality with multiple measurement and feedback for isolated system
• Generalized Quantum Fluctuation Theorem for Energy Exchange
• Full statistics of energy conservation in two times measurement protocols
• Thermodynamic precision in the nonequilibrium exchange scenario
• Monitored non-adiabatic and coherent-controlled quantum unital Otto heat engines: First four cumulants
• Nonequilibrium fluctuations of a driven quantum heat engine via machine learning
• Three heats in strongly coupled system and bath
• Identifying weak values with intrinsic dynamical properties in Modal theories
• Entropy production in one-dimensional quantum fluids
• Links between Dissipation and Rényi Divergences in $\mathcal{P}\mathcal{T}$-Symmetric Quantum Mechanics
• Deformed Jarzynski Equality
• Generalized entropy production fluctuation theorems for quantum systems
• Sequential measurements and entropy
• Dissipative dynamics of a driven qubit: interplay between non-adiabatic dynamics and noise effects from weak to strong coupling regime
• The role of quantum work statistics in many-body physics
• Information bound for entropy production from the detailed fluctuation theorem
• Easy access to energy fluctuations in non-equilibrium quantum many-body systems
• Thermodynamic Skewness Relation From Detailed Fluctuation Theorem
• Semi-Markov processes in open quantum systems: Connections and applications in counting statistics
• Resource theory of heat and work with non-commuting charges
• Fluctuations and stability of a fast driven Otto cycle
• Quantum mean-square predictors and thermodynamics
• Gauge invariant quantum thermodynamics: consequences for the first law
• Exchange fluctuation theorems for a chain of interacting particles in presence of two heat baths
• Absence of orthogonality catastrophe after a spatially inhomogeneous interaction quench in Luttinger liquids
• Capacitively coupled nano conductors: Ratchet currents and exchange fluctuation relations
• Classical and quantum thermodynamics in a non-equilibrium regime: Application to Stirling engine
• Kibble-Zurek scaling due to environment temperature quench in the transverse field Ising model
• Quantum speed limit for Kirkwood-Dirac quasiprobabilities
• Fluctuation theorem for entropy production of a partial system in the weak coupling limit
• Quantum work: Reconciling quantum mechanics and thermodynamics
• Hierarchical structure of fluctuation theorems for a driven system in contact with multiple heat reservoirs
• Diagnostics of quantum-gate coherences via end-point-measurement statistics
• Singularities in large deviations of work in quantum quenches
• Extracting work from the magnetic field coupled Brownian particles
• Stochastic thermodynamics of a confined colloidal suspension under shear flow
• Random paths and current fluctuations in nonequilibrium statistical mechanics
• Moment generating function bound from detailed fluctuation theorem
• Minimal motor for powering particle motion from spin imbalance
• Work and Fluctuations: Coherent vs. Incoherent Ergotropy Extraction
• Quantum Thermodynamics and Quantum Entanglement Entropies in an Expanding Universe
• Converting heat into directed transport on a tilted lattice
• Correlations, operations and the second law of thermodynamics
• Quantum coherence effects on inelastic thermoelectric devices: From diodes to transistors
• Spin pumping and torque statistics in the quantum noise limit
• Time-resolved Stochastic Dynamics of Quantum Thermal Machines
• Fluctuation relations for spin currents
• Relations between Heat Exchange and Rényi Divergences
• Joint fluctuation theorems for sequential heat exchange
• Stochastic thermodynamics of an electron-spin-resonance quantum dot system
• Reversing the Landauer's erasure: single-electron Maxwell's demon operating at the limit of thermodynamic efficiency
• Semi-classical work and quantum work identities in Weyl representation
• Work Sum Rule for Open Quantum Systems
• Saturation of entropy production in quantum many-body systems
• Symmetry-induced fluctuation relations in open quantum systems
• Simulating finite-time quantum isothermal processes with generic superconducting quantum circuit
• Spectral representation of the heat current in a driven Josephson junction
• Microreversibility and nonequilibrium response theory in magnetic fields
• Irreversibility mitigation in unital non-Markovian quantum evolutions
• Verifying detailed fluctuation relations for discrete feedback-controlled quantum dynamics
• Fluctuation of heat current in Josephson junctions
• Thermalization of long range Ising model in different dynamical regimes: a full counting statistics approach
• Fluctuation relation for heat exchange in Markovian open quantum systems
• Shortcuts to adiabatic population inversion via time-rescaling: stability and thermodynamic cost
• Statistics of work done in degenerate parametric amplification process
• Ensemble dependence of information-theoretic contributions to the entropy production
• Quantum Thermodynamic Uncertainty Relations, Generalized Current Fluctuations and Nonequilibrium Fluctuation-Dissipation Inequalities
• Alternative experimental ways to access entropy production
• Fluctuation theorems for genuine quantum mechanical regimes
• Quantum process inference for a single qubit Maxwell's demon
• Full counting statistics of information content
• Work statistics and thermal phase transitions
• Nonequilibrium quantum fluctuation relations for harmonic systems in nonthermal environments
• Control of fluctuations and heavy tails for heat variation in the two-time measurement framework
• On the role of initial coherence in the spin phase-space entropy production rate
• Statistical work-energy theorems in deterministic dynamics
• Detecting heat leaks with trapped ion qubits
• Transient exchange fluctuation theorems for heat using Hamiltonian framework: Classical and Quantum
• Fluctuation Relation for Qubit-Calorimetry
• Dissipation in small systems: A Landau-Zener approach
• Energy fluctuations of finite free-electron Fermi gas
• Quantum unital Otto heat engines: using Kirkwood-Dirac quasi-probability for the engine's coherence to stay alive
• Markovian Repeated Interaction Quantum Systems
• Coherent heat transfer leads to genuine quantum enhancement in the performances of continuous engines
• Role of Dilations in Reversing Physical Processes: Tabletop Reversibility and Generalized Thermal Operations
• Entropy and Thermodynamic second laws: New perspective - stochastic thermodynamics and fluctuation theorems
• Cosmological Decoherence from Thermal Gravitons
• Symmetries of cyclic work distributions for an isolated harmonic oscillator
• Symmetry and its breaking in path integral approach to quantum Brownian motion
• Work Distributions in 1-D Fermions and Bosons with Dual Contact Interactions
• Nonequilibrium Steady State and Heat Transport in Nonlinear Open Quantum Systems: Stochastic Influence Action and Functional Perturbative Analysis
• Emergence of a fluctuation relation for heat in nonequilibrium Landauer processes
• Thermodynamics of a phase-driven proximity Josephson junction
• Nonequilibrium work equalities in isolated quantum systems
• Dissipation in the Generalized Gibbs Ensemble
• Large deviation function and fluctuation theorem for classical particle transport
• Self-consistency of the two-point energy measurement protocol
• Classical and quantum thermodynamics described as a system-bath model: The dimensionless minimum work principle
• Universal defects statistics with strong long-range interactions
• Two-point measurement energy statistics from particle scattering
• Microreversibility and quantum transport in Aharonov-Bohm rings
• Efficiency and thermodynamic uncertainty relations of a dynamical quantum heat engine
• Work, Heat and Internal Energy in Open Quantum Systems: A Comparison of Four Approaches from the Autonomous System Framework
• Work fluctuation and total entropy production in nonequilibrium processes
• Transport as a sensitive indicator of quantum criticality
• Quasiprobability fluctuation theorem behind the spread of quantum information
• Work, heat and entropy production along quantum trajectories
• The Anderson impurity model out of equilibrium: Assessing the accuracy of simulation techniques with an exact current-occupation relation
• Full counting statistics of information content and particle number
• Detailed fluctuation theorem from the one-time measurement scheme
• Exploring the extent of validity of quantum work fluctuation theorems in the presence of weak measurements
• Experimentally probing entropy reduction via iterative quantum information transfer
• DQC1 as an Open Quantum System
• Thermodynamic entropy production in the dynamical Casimir effect
• From Rényi Entropy Power to Information Scan of Quantum States
• Quantum fluctuation theorem in a curved spacetime
• Ancilla-assisted measurement of quantum work
• Zeno Friction and Anti-friction from Quantum Collision Models
• Design and characterization of a quantum heat pump in a driven quantum gas
• Stiffness of Probability Distributions of Work and Jarzynski Relation for Initial Microcanonical and Energy Eigenstates
• Quantum corrections to the entropy in a driven quantum Brownian motion model
• Connecting scrambling and work statistics for short-range interactions in the harmonic oscillator
• Classicality of the heat produced by quantum measurements
• Non-equilibrium boundary driven quantum systems: models, methods and properties
• Nonadiabatic evolution and thermodynamics of a time-dependent open quantum system
• Heat and charge current fluctuations and the time dependent coefficient of performance for a nanoscale refrigerator
• Decoherence and energy flow in the sunburst quantum Ising model
• Electromagnetic gauge-freedom and work
• Non-equilibrium quantum probing through linear response
• Fluctuation theorems and expected utility hypothesis
• Quantum non-Markovianity, quantum coherence and extractable work in a general quantum process
• Quantum ergodicity for a class of non-generic systems
• Work statistics and generalized Loschmidt echo for the Hatano-Nelson model
• Promoting Fluctuation Theorems into Covariant Forms
• Energetics of Fano coherence generation
• Quantum heat engine based on quantum interferometry: the SU(1,1) Otto cycle
• Force-current structure in Markovian open quantum systems and its applications: geometric housekeeping-excess decomposition and thermodynamic trade-off relations
• Upper bound for quantum entropy production from entropy flux
• Strong Coupling Quantum Thermodynamics with Renormalized Hamiltonian and Temperature
• Role of work in matter exchange between finite quantum systems
• Dynamics of Energy Fluctuations in Equilibrating and Driven-Dissipative Systems
• Comparison between quantum jumps and master equation in the presence of a finite environment
• Theory of Quantum Work in Metallic Grains
• Complementarity between decoherence and information retrieval from the environment
• Hierarchical Equations of Motion Approach to Quantum Thermodynamics
• Partial Fermionization---Spectral Universality in 1D Repulsive Bose Gases
• A convenient Keldysh contour for thermodynamically consistent perturbative and semiclassical expansions
• Full counting statistics of the currents through a Kitaev chain and the exchange fluctuation theorem
• Transport fluctuation relations in interacting quantum pumps
• Nonequilibrium steady state transport of collective-qubit system in strong coupling regime
• Work distribution function for a Brownian particle driven by a nonconservative force
• Bipolar thermoelectric superconducting single-electron transistor
• Role of topology on the work distribution function of a quenched Haldane model of graphene
• The Duality in Quantum Work
• Computation of transient dynamics of energy power for a dissipative two state system
• Thermal Contact I : Symmetries ruled by Exchange Entropy Variations
• Quasiprobability distributions with weak measurements
• Nonequilibrium fluctuation-dissipation relations for one- and two-particle correlation functions in steady-state quantum transport
• Numerical study of non-adiabatic quantum thermodynamics of the driven resonant level model: Non-equilibrium entropy production and higher order corrections
• Testing Time Reversal Symmetry in Artificial Atoms
• Typical pure nonequilibrium steady states and irreversibility for quantum transports
• Universal work statistics in long-range interacting quantum systems
• A Wigner quasiprobability distribution of work
• Advancing Quantum Otto Engine Performance via Additional Magnetic Field and Effective Negative Temperature
• Lower bounds for the mean dissipated heat in an open quantum system
• Microreversibility, nonequilibrium response, and Euler's polynomials
• Unifying quantum heat transfer and superradiant signature in a nonequilibrium collective-qubit system: a polaron-transformed Redfield approach
• Generalized Zurek's bound on the cost of an individual classical or quantum computation
• Work Required for Selective Quantum Measurement
• Quantum quench thermodynamics at high temperatures
• Entropy Production in the Inflationary Epoch Using the Gouy-Stodola Theorem
• Calorimetric measurement of work for a driven harmonic oscillator
• Thermometry with a Dissipative Heavy Impurity
• Signature of quantum phase transition manifested in quantum fidelity at finite temperature
• Statistics of energy dissipation in a quantum dot operating in the cotunneling regime
• Hybrid interacting quantum Hall thermal machine
• Quantifying athermality and quantum induced deviations from classical fluctuation relations
• Quantum state inference from coarse-grained descriptions: analysis and an application to quantum thermodynamics
• Short remarks on the so-called fluctuation theorems and related statements
• Noise as a resource
• Zero-Fluctuation Quantum Work Extraction
• Classical noise, Quantum noise and Secure communication
• An atom-doped photon engine: Extracting mechanical work from a quantum system via radiation pressure
• Quantum transport phenomena induced by time-dependent fields
• Time-reversal of an unknown quantum state
• Quantum Fluctuation Theorem for Arbitrary Measurement and Feedback Schemes
• Quantum stochastic thermodynamics in the mesoscopic-leads formulation
• Full counting statistics and first-passage times in quantum Markovian processes: Ensemble relations, metastability, and fluctuation theorems
• The distribution of work performed on a NIS junction
• Steady state current fluctuations and dynamical control in a nonequilibrium single-site Bose-Hubbard system
• On a tilted Liouville-master equation of open quantum systems
• Kolmogorov-Sinai entropy and dissipation in driven classical Hamiltonian systems
• Universal Ideal Behavior and Macroscopic Work Relation of Linear Irreversible Stochastic Thermodynamics
• Comment on "Experimental Verification of a Jarzynski-Related Information-Theoretic Equality by a Single Trapped Ion" PRL 120 010601 (2018)
• Quantum Thermodynamics of Open Quantum Systems: Nature of Thermal Fluctuations
• A single measurement scheme for quantum work statistics based on coherent or squeezing state
• Slow approach to adiabaticity in many-body non-Hermitian systems: the Hatano-Nelson Model
• A quantum heat engine based on dynamical materials design
• Quantum control of classical motion: piston dynamics in a Rabi-coupled Bose-Einstein condensate
• Analysis of the conditional average and conditional variance of dissipated energy in the driven spin-boson model
• Many-body work distributions
• Quantum work fluctuations versus macrorealism in terms of non-extensive entropies
• Experimental demonstration of generalized quantum fluctuation theorems in the presence of coherence
• On the area swept by a biased diffusion till its first-exit time: Martingale approach and gambling opportunities
• Work Fluctuations in Ergotropic Heat Engines
• Tracking evaporative cooling of a mesoscopic atomic quantum gas in real time
• Interface-driven electrical magnetochiral anisotropy in Pt/PtMnGa bilayers
• Entropy Production from Maximum Entropy Principle: a Unifying Approach
• Non-equilibrium properties of trapped ions under sudden application of a laser
• Universal interpretation of efficacy parameter in perturbed nonequilibrium systems
• Superdiffusive quantum work and adiabatic quantum evolution in finite temperature chaotic Fermi systems
• Quantum Fluctuation Relations
• Work statistics in the periodically driven quartic oscillator: classical versus quantum dynamics
• Entropy production in a non-Markovian environment
• Stochastic Thermodynamics at the Quantum-Classical Boundary: A Self-Consistent Framework Based on Adiabatic-Response Theory
• Thermodynamic perspective on quantum fluctuations
• Multiple scales approach to the Gas-Piston non-equilibrium themodynamics
• Entanglement signature in quantum work statistics in the slow-driving regime
• Emergence of Fluctuation Relations in UNO
• Revising the quantum work fluctuation framework to encompass energy conservation
• Finite resolution ancilla-assisted measurements of quantum work distributions
• Information-to-work conversion in single molecule experiments: from discrete to continuous feedback
• Operational work fluctuation theorem for open quantum systems
• Modified Jarzynski equality in a microcanonical ensemble
• Microscopic theory of spin friction and dissipative spin dynamics
• Classical Theory of Quantum Work Distribution in Chaotic Fermion Systems
• Quasistatic work processes: When slowness implies certainty
• Covariant Non-equilibrium Thermodynamics from Ito-Langevin Dynamics
• Bosonic two-stroke heat engines with polynomial nonlinear coupling
• Finite-time performance of a cyclic 2d quantum Ising heat engine
• Fluctuation theorems with optical tweezers: theory and practice
• The singularities of the rate function of quantum coherent work in one-dimensional transverse field Ising model
• Work fluctuation theorems with initial quantum coherence
• Contrasting work fluctuations and distributions in systems with short-range and long-range correlations
• Order parameter dynamics of the non-linear sigma model in the large $N$ limit
• Integral Fluctuation Theorem for Microcanonical and Pure States
• Impact of quantum coherence on the dynamics and thermodynamics of quenched free fermions coupled to a localized defect
• Single energy measurement Integral Fluctuation theorem and non-projective measurements
• Full Quantum Work Statistics for Non-Homogeneous Many-Body Systems
• Modelling mechanical equilibration processes of closed quantum systems: a case-study
• Some inequalities in the fidelity approach to phase transitions
• Optimal temperature estimation in polariton Bose-Einstein Condensate
• On the transient Fluctuation Dissipation Theorem after a quench at a critical point
• Thermodynamic laws in isolated systems
• Universal energy fluctuations in inelastic scattering processes
• Some comments to the quantum fluctuation theorems
• Energy exchange statistics and fluctuation theorem for non-thermal asymptotic states
• Quantum fluctuation theorem for initial near-equilibrium system
• Entropy production due to spacetime fluctuations
• Quasi-probability distribution of work in a measurement-based quantum Otto engine
• Quantum thermodynamics of single particle systems
• Full-counting statistics of information content and heat quantity in the steady state and the optimum capacity
• Typical Positivity of Nonequilibrium Entropy Production for Pure States
• Dispersive Qubit Readout of Temperature
• Squeezing generation crossing a mean-field critical point: Work statistics, irreversibility and critical fingerprints
• Quantum Annealing Algorithms for Estimating Ising Partition Functions
• Restoring the second law to classical-quantum dynamics
• Evading Thermodynamic Uncertainty Relations via Asymmetric Dynamic Protocols
• Framework for fluctuating times and counting observables in stochastic excursions
• Tightening the thermodynamic uncertainty relations with null-entropy events: What we learn when nothing happens
• Coherent heat exchange in a prethermalizing open quantum system
• Quantum Coherence and Anomalous Work Extraction in Qubit Gate Dynamics
• Lower Bound on Irreversibility in Thermal Relaxation of Open Quantum Systems
• On the energetic analysis of autonomous quantum systems
• Cross correlations in mesoscopic charge detection
• Fluctuation Theorems with Retrodiction rather than Reverse Processes
• Irreversible Work Reduction by Disorder in Many-Body Quantum Systems
• Green-Kubo formulas with symmetrized correlation functions for quantum systems in steady states: the shear viscosity of a fluid in a steady shear flow
• Convergence of thermodynamic quantities and work fluctuation theorems in presence of random protocols
• A perspective on Lindblad's Non-Equilibrium Entropy
• Non-destructively probing the thermodynamics of quantum systems with qumodes
• Heat exchange and fluctuation in Gaussian thermal states in the quantum realm
• Complementary aspects of non-equilibrium thermodynamics
• Thermodynamics of Maximum Transition Entropy for Quantum Assemblies
• Nonequilibrium many-body dynamics in supersymmetric quenching
• Quantum thermodynamics under continuous monitoring: a general framework
• Quantum entanglement and extractable work for Gaussian states
• Fluctuation theorems for autonomous work
• Quantum regression theorem in the Unruh-DeWitt battery
• Geometry of restricted information: the case of quantum thermodynamics
• Thermodynamic uncertainty relations for relativistic quantum thermal machines
• Universal Statistics of Charges Exchanges in Non-Abelian Quantum Transport
• Universal Precision Limits in General Open Quantum Systems
• Anomalous fluctuations of Bose-Einstein condensates in optical lattices
• Power of photonic states: from quantum computation to cosmology
• Fluctuation theorem in cavity quantum electrodynamics systems
• Heat conservation and fluctuations between quantum reservoirs in the Two-Time Measurement picture
• Fluctuation Relations for Heat Exchange in the Generalized Gibbs Ensemble
• Energy Cascade in Quantum Gases
• Broken Detailed Balance and Entropy Production in CPTP Quantum Brownian Motion
• Coarse-grained quantum thermodynamics: Observation-dependent quantities, observation-independent laws
• Quantum thermal rectification via state-dependent two-photon dissipation
• Local energy and power for many-particle quantum systems driven by an external electrical field
• Deep learning of thermodynamic laws from microscopic dynamics
• Work Statistics and Quantum Trajectories: No-Click Limit and non-Hermitian Hamiltonians
• Quantum advantage from negativity of a work quasiprobability distribution
• Work and heat exchanged during sudden quenches of strongly coupled quantum systems
• Thermodynamics of a Quantum Subsystem
• False Onsager relations
• Relativistic entropy production for quantum field in cavity
• Counting statistics of energy transport across squeezed thermal reservoirs
• Open Quantum Systems at Low Temperature
• Quantal-classical fluctuation relation and the second law of thermodynamics: The quantum linear oscillator
• The Coherent Crooks Equality
• A Nonequilibrium Variational Polaron Theory to Study Quantum Heat Transport