A universal approach to quantum thermodynamics in the strong coupling regime

Abstract

We present a protocol for the study of the dynamics and thermodynamics of quantum systems strongly coupled to a bath and subject to an external modulation. Our protocol quantifies the evolution of the system-bath composite by expanding the full density matrix as a series in the powers of the modulation rate, from which the functional form of work, heat and entropy rates can be obtained. Under slow driving, thermodynamic laws are established. The entropy production rate is positive and is found to be related to the excess work dissipated by friction, at least up to second order in the driving speed. As an example of the present methodology, we reproduce the results for the quantum thermodynamics of the driven resonance level model. We also emphasize that our formalism is quite general and allows for electron-electron interactions, which can give rise to exotic Kondo resonances appearing in thermodynamic quantities.

References in corpus (49)

• The numerical renormalization group method for quantum impurity systems
• Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems
• Colloquium. Quantum Fluctuation Relations: Foundations and Applications
• Equilibration, thermalisation, and the emergence of statistical mechanics in closed quantum systems
• Quantum Thermodynamics
• Quantum Thermodynamics
• A single-atom heat engine
• Fluctuation theorems: Work is not an observable
• The second laws of quantum thermodynamics
• Fundamental aspects of steady-state conversion of heat to work at the nanoscale
• Mechanical systems in the quantum regime
• Fluctuation Theorem for Arbitrary Open Quantum Systems
• Quantum and Information Thermodynamics: A Unifying Framework based on Repeated Interactions
• 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
• Perspective: Quantum Thermodynamics
• Quantum Thermodynamics: A Nonequilibrium Green's Functions Approach
• Performance of a quantum heat engine at strong reservoir coupling
• Slow dynamics and thermodynamics of open quantum systems
• On the operation of machines powered by quantum non-thermal baths
• Dynamical energy transfer in ac driven quantum systems
• Finite quantum dissipation: the challenge of obtaining specific heat
• On the nature of heat in strongly coupled open quantum systems
• Current-induced forces in mesoscopic systems: a scattering matrix approach
• Strong coupling corrections in quantum thermodynamics
• 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
• Experimental Realization of a Minimal Microscopic Heat Engine
• Born-Oppenheimer Dynamics, Electronic Friction, and the Inclusion of Electron-Electron Interactions
• Specific heat anomalies of open quantum systems
• Strongly coupled quantum heat machines
• Quantum thermodynamics of the driven resonant level model
• The equilibrium states of open quantum systems in the strong coupling regime
• Quantum heat machines equivalence and work extraction beyond Markovianity, and strong coupling via heat exchangers
• Open system trajectories specify fluctuating work but not heat
• Quantum thermodynamics in strong coupling: heat transport and refrigeration
• Work and its fluctuations in a driven quantum system
• Non-Markovian quantum thermodynamics: laws and fluctuation theorems
• 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
• Maxwell's Demon Based on a Single Qubit
• Energy distribution and local fluctuations in strongly coupled open quantum systems: The extended resonant level model
• 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
• Quantum Thermodynamics for Driven Dissipative Bosonic Systems
• On the Computational Power of Molecular Heat Engines
• Nonequilibrium Thermodynamics and Steady State Density Matrix for Quantum Open Systems
• Introduction to Quantum Thermodynamics: History and Prospects
• Reversing the Landauer's erasure: single-electron Maxwell's demon operating at the limit of thermodynamic efficiency

Cited by in corpus (35)

• {\it Colloquium:} Statistical Mechanics and Thermodynamics at Strong Coupling: Quantum and Classical
• First and Second Law of Quantum Thermodynamics: A Consistent Derivation Based on a Microscopic Definition of Entropy
• Open quantum system dynamics and the mean force Gibbs state
• Repeated interactions and quantum stochastic thermodynamics at strong coupling
• Non-equilibrium steady-states of memoryless quantum collision models
• Measurability of nonequilibrium thermodynamics in terms of the Hamiltonian of mean force
• Lead Geometry and Transport Statistics in Molecular Junctions
• Universal approach to quantum thermodynamics of strongly coupled systems under nonequilibrium conditions and external driving
• Green's functions perspective on nonequilibrium thermodynamics of open quantum systems strongly coupled to baths
• Measurement induced transitions in non-Markovian free fermion ladders
• Response theory for nonequilibrium steady-states of open quantum systems
• Entropy and information flow in quantum systems strongly coupled to baths
• Simulating time-dependent thermoelectric transport in quantum systems
• Strong coupling non-Markovian quantum thermodynamics of a finite-bath system
• Signature of the transition to a bound state in thermoelectric quantum transport
• Generalized Quantum Fluctuation Theorem for Energy Exchange
• Large Deviations and Fluctuation Theorem for the Quantum Heat Current
• Strongly coupled quantum Otto cycle with single qubit bath
• Thermal power of heat flow through a qubit
• Entropy production of a small quantum system under strong coupling with an environment: A computational experiment
• Entropy production as change in observational entropy
• A Schmidt decomposition approach to quantum thermodynamics
• Transport and thermodynamics in quantum junctions: A scattering approach
• Numerical study of non-adiabatic quantum thermodynamics of the driven resonant level model: Non-equilibrium entropy production and higher order corrections
• Heat transport in overdamped quantum systems
• A constraint on local definitions of quantum internal energy
• Quantum transport phenomena induced by time-dependent fields
• Multiple perfectly-transmitting states of a single-level at strong coupling
• Energy additivity as a requirement for universal quantum thermodynamical frameworks
• A semiclassical nonequilibrium Green's Function approach to electron transport in systems exhibiting electron-phonon couplings
• On the energetic analysis of autonomous quantum systems
• Exact density matrix elements for a driven dissipative system described by a quadratic Hamiltonian
• Nonequilibrium thermal transport and photon squeezing in a quadratic qubit-resonator system
• Quantum heat transport and effects of quantum thermal devices in noncommuting coupled spins
• Periodically-driven quantum thermal machines from warming up to limit cycle