First and Second Law of Thermodynamics at strong coupling

Abstract

For a small driven system coupled strongly to a heat bath, internal energy and exchanged heat are identified such that they obey the usual additive form of the first law. By identifying this exchanged heat with the entropy change of the bath, the total entropy production is shown to obey an integral fluctuation theorem on the trajectory level implying the second law in the form of a Clausius inequalilty on the ensemble level. In this Hamiltonian approach, the assumption of an initially uncorrelated state is not required. The conditions under which the proposed identification of heat is unique and experimentally accessible are clarified.

5 pages

References in corpus (12)

• Fluctuation Theorem for Arbitrary Open Quantum Systems
• Experimental Free Energy Surface Reconstruction From Single-Molecule Force Spectroscopy Using Jarzynski's Equality
• Nonequilibrium fluctuations in quantum heat engines: Theory, example, and possible solid state experiments
• Quantum Thermodynamics: A Nonequilibrium Green's Functions Approach
• Experimental free energy measurements of kinetic molecular states using fluctuation theorems
• Specific heat anomalies of open quantum systems
• Thermodynamics of a subensemble of a canonical ensemble
• Functional Integral approach to time-dependent heat exchange in open quantum systems: general method and applications
• Measuring work and heat in ultracold quantum gases
• Information and entropy in quantum Brownian motion: Thermodynamic entropy versus von Neumann entropy
• Incomplete measurement of work in a dissipative two level system
• Heat due to system-reservoir correlations in thermal equilibrium

Cited by in corpus (134)

• Irreversible entropy production, from quantum to classical
• The quantum harmonic Otto cycle
• Quantum and Information Thermodynamics: A Unifying Framework based on Repeated Interactions
• Nonequilibrium thermodynamics in the strong coupling and non-Markovian regime based on a reaction coordinate mapping
• {\it Colloquium:} Statistical Mechanics and Thermodynamics at Strong Coupling: Quantum and Classical
• Thermometry in the quantum regime: Recent theoretical progress
• Performance of a quantum heat engine at strong reservoir coupling
• The role of coherence in the non-equilibrium thermodynamics of quantum systems
• Theory of nonequilibrium free energy transduction by molecular machines
• First and Second Law of Quantum Thermodynamics: A Consistent Derivation Based on a Microscopic Definition of Entropy
• Strong Coupling Thermodynamics of Open Quantum Systems
• Open quantum system dynamics and the mean force Gibbs state
• Generalized Laws of Thermodynamics in the Presence of Correlations
• Strong coupling corrections in quantum thermodynamics
• Dissipative dynamics of an open quantum battery
• Non-Markovianity and negative entropy production rates
• Stochastic thermodynamics: From principles to the cost of precision
• Energy exchange in driven open quantum systems at strong coupling
• Fermionic reaction coordinates and their application to an autonomous Maxwell demon in the strong coupling regime
• Stochastic thermodynamics in the strong coupling regime: An unambiguous approach based on coarse-graining
• Implications of non-Markovian dynamics for the Landauer bound
• Steady-state coherences by composite system-bath interactions
• Faster uphill relaxation in thermodynamically equidistant temperature quenches
• Repeated interactions and quantum stochastic thermodynamics at strong coupling
• Weak and ultrastrong coupling limits of the quantum mean force Gibbs state
• Path integral approach to quantum thermodynamics
• Entropy production and time-asymmetry in the presence of strong interactions
• Open system trajectories specify fluctuating work but not heat
• Dynamics of energy transport and entropy production in ac-driven quantum electron systems
• A universal approach to quantum thermodynamics in the strong coupling regime
• Energy-temperature uncertainty relation in quantum thermodynamics
• Periodic energy transport and entropy production in quantum electronics
• Quantum Brownian Motion for Magnets
• Interacting Brownian dynamics in a nonequilibrium particle bath
• Non-Markovian quantum thermodynamics: laws and fluctuation theorems
• Open-system approach to nonequilibrium quantum thermodynamics at arbitrary coupling
• Quantum thermodynamics from the nonequilibrium dynamics of open systems: energy, heat capacity and the third law
• Quantum thermodynamics of the resonant-level model with driven system-bath coupling
• Measurement-based quantum heat engine in a multilevel system
• Effects of Quantum Coherence on Work Statistics
• Tensor network simulation of chains of non-Markovian open quantum systems
• Global passivity in microscopic thermodynamics
• Measurability of nonequilibrium thermodynamics in terms of the Hamiltonian of mean force
• A quantum Otto engine with finite heat baths: energy, correlations, and degradation
• Non-Markovian effect on quantum Otto engine: -Role of system--reservoir interaction-
• Roadmap on Quantum Thermodynamics
• Thermodynamics of quantum systems strongly coupled to a heat bath I. Operator thermodynamic functions and relations
• Extraction of ergotropy: free energy bound and application to open cycle engines
• Stochastic thermodynamics of quantum maps with and without equilibrium
• Path integral approach to heat in quantum thermodynamics
• The Passivity Deformation Approach for the Thermodynamics of Isolated Quantum Setups
• Fluctuations of Apparent Entropy Production in Networks with Hidden Slow Degrees of Freedom
• OQuPy: A Python package to efficiently simulate non-Markovian open quantum systems with process tensors
• Quantum Fluctuation Theorems
• Probabilistically Violating the First Law of Thermodynamics in a Quantum Heat Engine
• Two-Stroke Optimization Scheme for Mesoscopic Refrigerators
• Thermodynamics of Quantum Causal Models: An Inclusive, Hamiltonian Approach
• Green's functions perspective on nonequilibrium thermodynamics of open quantum systems strongly coupled to baths
• Nonequilibrium Energy Transduction in Stochastic Strongly Coupled Rotary Motors
• On work and heat in time-dependent strong coupling
• The reaction coordinate mapping in quantum thermodynamics
• An operator derivation of the Feynman-Vernon theory, with applications to the generating function of bath energy changes and to anharmonic baths
• Switching the function of the quantum Otto cycle in non-Markovian dynamics: heat engine, heater and heat pump
• Common environmental effects on quantum thermal transistor
• Quantum Otto cycle under strong coupling
• Dynamically Emergent Quantum Thermodynamics: Non-Markovian Otto Cycle
• Exactly solvable nonequilibrium Langevin relaxation of a trapped nanoparticle
• Steady state thermodynamics of two qubits strongly coupled to bosonic environments
• A unified picture of strong coupling stochastic thermodynamics and time reversals
• Nonequilibrium Quantum Free Energy and Effective Temperature, Generating Functional and Influence Action
• Dependence of integrated, instantaneous, and fluctuating entropy production on the initial state in quantum and classical processes
• Numerically "exact" simulations of entropy production in the fully quantum regime: Boltzmann entropy versus von Neumann entropy
• Stochastic thermodynamics of a probe in a fluctuating correlated field
• Effective thermodynamics of two interacting underdamped Brownian particles
• Quantum Thermodynamics in the Refined Weak Coupling Limit
• Spin-dependent heat signatures of single-molecule spin dynamics
• Strong Coupling Quantum Thermodynamics far away from Equilibrium: Non-Markovian Transient Quantum Heat and Work
• The characteristic functions of quantum heat with baths at different temperatures
• Optomechanical oscillator controlled by variation in its heat bath temperature
• Stochastic energetics of a colloidal particle trapped in a viscoelastic bath
• Emergence and Breaking of Duality Symmetry in Generalized Fundamental Thermodynamic Relations
• Stochastic Thermodynamics in a Non-Markovian Dynamical System
• Quantum thermodynamics of nonequilibrium processes in lattice gauge theories
• Entropy and the second law for driven, or quenched, thermally isolated systems
• Assigning Temperatures to Eigenstates
• Heat capacities of thermally manipulated mechanical oscillator at strong coupling
• Non-Clausius heat transfer: The method of the nonstationary Langevin equation
• Thermal power of heat flow through a qubit
• Strong Coupling Thermodynamics and Stochastic Thermodynamics from the Unifying Perspective of Time-Scale Separation
• Relating Heat and Entanglement in Strong Coupling Thermodynamics
• Microscopic theory for the time irreversibility and the entropy production
• Entropy production of a small quantum system under strong coupling with an environment: A computational experiment
• Three heats in strongly coupled system and bath
• Numerical computation of the equilibrium-reduced density matrix for strongly coupled open quantum systems
• Internal Geometric Friction in a Kitaev Chain Heat Engine
• Stochastic thermodynamics of interacting degrees of freedom: Fluctuation theorems for detached path probabilities
• Effective Gibbs state for averaged observables
• Entropy production as change in observational entropy
• Accessing the bath information in open quantum systems with the stochastic c-number Langevin equation method
• Entropy and Thermodynamic second laws: New perspective - stochastic thermodynamics and fluctuation theorems
• Time Evolution of Entropy in a Growth model: Dependence on the Description
• Additivity of multiple heat reservoirs in Langevin equation
• Anisotropic signatures in the spin-boson model
• Work relations with measurement and feedback control on nonuniform temperature systems
• Nonequilibrium thermodynamics of uncertain stochastic processes
• Non-Markovian Quantum Heat Statistics with the Reaction Coordinate Mapping
• Non-Clausius heat transfer: the example of harmonic chain with an impurity
• Non-conjugate quantum subsystems
• Strong Coupling Quantum Thermodynamics with Renormalized Hamiltonian and Temperature
• Thermodynamics of Encoding and Encoders
• Long-time equilibration can determine transient thermality
• Temperature-heat uncertainty relation in nonequilibrium quantum thermometry
• Contributions to single-shot energy exchanges in open quantum systems
• Heat transport in overdamped quantum systems
• Quantum Thermodynamics of Open Quantum Systems: Nature of Thermal Fluctuations
• The second law and beyond in microscopic quantum setups
• Equivalence between the second order steady state for the spin-Boson model and its quantum mean force Gibbs state
• Topological and Finite Size Effects in a Kitaev Chain Heat Engine
• Availing non-Markovian dynamics in effective negative temperature-based transient quantum Otto engines
• Projection of strong coupling interaction with thermal bath in a polymer
• Multiple perfectly-transmitting states of a single-level at strong coupling
• A Strongly Coupled Open System with Non-linear Bath: Fluctuation-Dissipation and Langevin Dynamics
• Strong Markov dissipation in driven-dissipative quantum systems
• Covariant Non-equilibrium Thermodynamics from Ito-Langevin Dynamics
• Ultrastrong coupling limit to quantum mean force Gibbs state for anharmonic environment
• A perspective on Lindblad's Non-Equilibrium Entropy
• Quantum thermodynamics of single particle systems
• Thermodynamics of a Quantum Subsystem
• Modeling the effect of transient violations of the second law of thermodynamics on heat transfer in silicon nanowire
• Work and heat exchanged during sudden quenches of strongly coupled quantum systems
• Join gate with memory in token-conserving Brownian circuits and the thermodynamic cost
• Fluctuation theorems for autonomous work
• Structure of Quantum Mean Force Gibbs States for Coupled Harmonic Systems
• Generalized uncertainty relation between thermodynamic variables in quantum thermodynamics