On the nature of heat in strongly coupled open quantum systems

Abstract

We study heat transfers in a single level quantum dot strongly coupled to fermionic reservoirs and subjected to a time-dependent protocol modulating the dot energy as well as the dot-reservoir coupling strength. The dynamics is described using nonequilibrium Greens functions (NEGFs) evaluated to first order beyond quasi-static driving. We show that any heat definition expressed as an energy change in the reservoir energy plus any fraction of the system-reservoir interaction is not an exact differential when evaluated along reversible isothermal transformations, except when that fraction is zero. However, even in that latter case the reversible heat divided by temperature, namely the entropy, does not satisfy the third law of thermodynamics and diverges in the low temperature limit. Our results cast doubts on the possibility to define a thermodynamically consistent notion of heat expressed as the expectation value of some Hamiltonian terms.

8 pages, 2 figures

References in corpus (19)

• Quantum Thermodynamics
• A nano heat engine beyond the Carnot limit
• Quantum Equivalence and Quantum Signatures in Heat Engines
• Most efficient quantum thermoelectric at finite power output
• Optimal energy quanta to current conversion
• Heat conduction in molecular transport junctions
• Performance bound for quantum absorption refrigerators
• Quantum Thermodynamics: A Nonequilibrium Green's Functions Approach
• Strong bounds on Onsager coefficients and efficiency for three terminal thermoelectric transport in a magnetic field
• Thermodynamics of quantum systems under dynamical control
• Dynamical energy transfer in ac driven quantum systems
• Multi-terminal Thermoelectric Transport in a Magnetic Field: Bounds on Onsager Coefficients and Efficiency
• Efficiency fluctuations in quantum thermoelectric devices
• Thermodynamic and quantum bounds on nonlinear DC thermoelectric transport
• Stochastic thermodynamics of rapidly driven systems
• Heat flux operator, current conservation and the formal Fourier's law
• Single electron transistor strongly coupled to vibrations: Counting Statistics and Fluctuation Theorem
• Steady-state thermodynamics of non-interacting transport beyond weak coupling
• Thermodynamics of the polaron master equation at finite bias

Cited by in corpus (104)

• 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
• First and Second Law of Quantum Thermodynamics: A Consistent Derivation Based on a Microscopic Definition of Entropy
• Strong coupling corrections in quantum thermodynamics
• Universal Coherence-Induced Power Losses of Quantum Heat Engines in Linear Response
• Quantum Heat Current under Non-perturbative and Non-Markovian Conditions: Applications to Heat Machines
• 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
• Born-Oppenheimer Dynamics, Electronic Friction, and the Inclusion of Electron-Electron Interactions
• Stochastic thermodynamics in the strong coupling regime: An unambiguous approach based on coarse-graining
• Quantum thermodynamics of the driven resonant level model
• Quantum Engines and Refrigerators
• Repeated interactions and quantum stochastic thermodynamics at strong coupling
• Quantum thermodynamics in strong coupling: heat transport and refrigeration
• A universal approach to quantum thermodynamics in the strong coupling regime
• Periodic energy transport and entropy production in quantum electronics
• Transient charge and energy flow in the wide-band limit
• Entropy production and non-Markovian dynamical maps
• Speed-ups to isothermality: Enhanced quantum thermal machines through control of the system-bath coupling
• Quantum thermodynamics from the nonequilibrium dynamics of open systems: energy, heat capacity and the third law
• Photonics and Spectroscopy in Nanojunctions: A Theoretical Insight
• Landauer-Büttiker approach to strongly coupled quantum thermodynamics: inside-outside duality of entropy evolution
• An electronic Maxwell demon in the coherent strong-coupling regime
• Quantum thermodynamics of the resonant-level model with driven system-bath coupling
• Canonically consistent quantum master equation
• Electronic friction near metal surfaces: a case where molecule-metal couplings depend on nuclear coordinates
• Energy distribution and local fluctuations in strongly coupled open quantum systems: The extended resonant level model
• The fourth law of thermodynamics: steepest entropy ascent
• Numerically exact counting statistics of energy current in the Kondo regime
• Measurability of nonequilibrium thermodynamics in terms of the Hamiltonian of mean force
• A many-body approach to transport in quantum systems: From the transient regime to the stationary state
• The universality of electronic friction II: Equivalence of the quantum-classical Liouville equation approach with von Oppen's nonequilibrium Green's function methods out of equilibrium
• Non-Markovian effect on quantum Otto engine: -Role of system--reservoir interaction-
• Broadband frequency filters with quantum dot chains
• Thermodynamics of quantum systems strongly coupled to a heat bath I. Operator thermodynamic functions and relations
• Nonequilibrium open quantum systems with multiple bosonic and fermionic environments: A hierarchical equations of motion approach
• Steady state quantum transport through an anharmonic oscillator strongly coupled to two heat reservoirs
• Quantum thermodynamics with fast driving and strong coupling via the mesoscopic leads approach
• Probing the energy reactance with adiabatically driven quantum dots
• Finite-time Landauer principle beyond weak coupling
• Green's functions perspective on nonequilibrium thermodynamics of open quantum systems strongly coupled to baths
• Universal approach to quantum thermodynamics of strongly coupled systems under nonequilibrium conditions and external driving
• Molecular Heat Engines: Quantum Coherence Effects
• Quantum Thermodynamics for Driven Dissipative Bosonic Systems
• On work and heat in time-dependent strong coupling
• The reaction coordinate mapping in quantum thermodynamics
• Revealing missing charges with generalised quantum fluctuation relations
• Entangled system-and-environment dynamics: Phase-space dissipaton theory
• Numerically "exact" simulations of a quantum Carnot cycle: Analysis using thermodynamic work diagrams
• Steady state thermodynamics of two qubits strongly coupled to bosonic environments
• A unified picture of strong coupling stochastic thermodynamics and time reversals
• Beating Carnot efficiency with periodically driven chiral conductors
• Minimal quantum thermal machine in a bandgap environment: non-Markovian features and anti-Zeno advantage
• Quantum coherent control of nonlinear thermoelectric transport in a triple-dot Aharonov-Bohm heat engine
• Nonequilibrium Thermodynamics and Steady State Density Matrix for Quantum Open Systems
• Heat currents in electronic junctions driven by telegraph noise
• Entropy and information flow in quantum systems strongly coupled to baths
• Spin-dependent heat signatures of single-molecule spin dynamics
• Strongly coupled fermionic probe for nonequilibrium thermometry
• Non-equilibrium Green's function theory for non-adiabatic effects in quantum transport: inclusion of electron-electron interactions
• Strong Coupling Quantum Thermodynamics far away from Equilibrium: Non-Markovian Transient Quantum Heat and Work
• Periodically refreshed quantum thermal machines
• Quantum-classical correspondence principle for heat distribution in quantum Brownian motion
• Simulating time-dependent thermoelectric transport in quantum systems
• The characteristic functions of quantum heat with baths at different temperatures
• Charge Transport and Entropy Production Rate in Magnetically Active Molecular Dimer
• Nonadiabatic corrections to electric current in molecular junction due to nuclear motion at the molecule-electrode interfaces
• The laws of thermodynamics for quantum dissipative systems: A quasi-equilibrium Helmholtz energy approach
• Study of the energy variation in many-body open quantum systems: role of interactions in the weak and strong coupling regimes
• Strong Coupling Thermodynamics and Stochastic Thermodynamics from the Unifying Perspective of Time-Scale Separation
• Thermal power of heat flow through a qubit
• Large Deviations and Fluctuation Theorem for the Quantum Heat Current
• Classical and quantum thermodynamics in a non-equilibrium regime: Application to Stirling engine
• Entropy production of a small quantum system under strong coupling with an environment: A computational experiment
• The third law of thermodynamics in open quantum systems
• Entropy production as change in observational entropy
• Spectral representation of the heat current in a driven Josephson junction
• A Schmidt decomposition approach to quantum thermodynamics
• Work Sum Rule for Open Quantum Systems
• Quantum thermodynamics of periodically driven polaritonic systems
• Accessing the bath information in open quantum systems with the stochastic c-number Langevin equation method
• Classical and quantum thermodynamics described as a system-bath model: The dimensionless minimum work principle
• Dynamical exchange and phase induced switching of a localized molecular spin
• Heat transfer in a nonequilibrium spin-boson model: A perturbative approach
• Quantum Thermodynamics: Inside-Outside Perspective
• Strong Coupling Quantum Thermodynamics with Renormalized Hamiltonian and Temperature
• Numerical study of non-adiabatic quantum thermodynamics of the driven resonant level model: Non-equilibrium entropy production and higher order corrections
• Stochastic entropy production: Fluctuation relation and irreversibility mitigation in non-unital quantum dynamics
• Heat transport in overdamped quantum systems
• How to Partition a Quantum Observable
• Hierarchical Equations of Motion Approach to Quantum Thermodynamics
• Lower bounds for the mean dissipated heat in an open quantum system
• Quantum transport phenomena induced by time-dependent fields
• Robust nonequilibrium edge currents with and without band topology
• Dissipative dynamics of a quantum two-state system in presence of nonequilibrium quantum noise
• Local energy assignment for two interacting quantum thermal reservoirs
• Current, quantum transport and entropic force of bosonic systems interacting with two thermal reservoirs
• Full-counting statistics of information content and heat quantity in the steady state and the optimum capacity
• On the energetic analysis of autonomous quantum systems
• Thermodynamics of a Quantum Subsystem
• Coupling-energy driven pumping through quantum dots: Role of coherences
• Quantum dynamics of a bosonic mode and a two-level system interacting with several reservoirs
• Heat transport in a two-level system driven by a time-dependent temperature
• Periodically-driven quantum thermal machines from warming up to limit cycle