Strong Coupling Quantum Thermodynamics with Renormalized Hamiltonian and Temperature

Abstract

We develop the strong coupling quantum thermodynamics based on the solution of the exact master equation. We find that both the Hamiltonian and the temperature must be renormalized due to the system-reservoir couplings. With the renormalized Hamiltonian and temperature, the exact steady state of open quantum systems can be expressed as a standard Gibbs state. The exact steady-state particle distributions obey the Bose-Einstein distribution or the Fermi-Dirac distribution only for the renormalized energy and temperature. In this formulation, heat and work are quantum mechanically defined, from which we compute the specific heat and examine the consistency of the theory. Consequently, thermodynamic laws and statistical mechanics emerge naturally and rigorously from quantum evolution of open systems.

arXiv comment6 pages, 3 figures

References in corpus (36)

• Fano resonances in nanoscale structures
• Colloquium. Quantum Fluctuation Relations: Foundations and Applications
• Low Temperature Transport through a Quantum Dot: The Anderson Model out of Equilibrium
• Quantum Thermodynamics
• Experimental Observation of a Generalized Gibbs Ensemble
• Exact dynamics of dissipative electronic systems and quantum transport: Hierarchical equations of motion approach
• Local emergence of thermal correlations in an isolated quantum many-body system
• Experimental Test of Quantum Jarzynski Equality with a Trapped Ion System
• General non-Markovian dynamics of open quantum systems
• Quantum Optomechanical Heat Engine
• Extractable Work from Correlations
• Tunable photonic heat transport in a quantum heat valve
• A non-Markovian decoherence theory for double dot charge qubit
• First and Second Law of Thermodynamics at strong coupling
• Extraction of work from a single thermal bath in the quantum regime
• Quantum Thermodynamics: A Nonequilibrium Green's Functions Approach
• Nonequilibrium current driven by a step voltage pulse: an exact solution
• Finite quantum dissipation: the challenge of obtaining specific heat
• On the nature of heat in strongly coupled open quantum systems
• Strong Coupling Thermodynamics of Open Quantum Systems
• Hybrid Microwave-Cavity Heat Engine
• Controlling and measuring quantum transport of heat in trapped-ion crystals
• Energy exchange in driven open quantum systems at strong coupling
• Repeated interactions and quantum stochastic thermodynamics at strong coupling
• Non-Markovian Dynamics Impact on the Foundations of Statistical Mechanics
• Influence of measurement on the life-time and the line-width of unstable systems
• Decoherence suppression of open quantum systems through a strong coupling to non-Markovian reservoirs
• Quantum limit to nonequilibrium heat-engine performance imposed by strong system-reservoir coupling
• Energy distribution and local fluctuations in strongly coupled open quantum systems: The extended resonant level model
• Exact Master Equation and General Non-Markovian Dynamics in Open Quantum Systems
• Master equation approach to transient quantum transport incorporating with initial correlations
• Quantum Thermodynamics for Driven Dissipative Bosonic Systems
• Dissipative topological systems
• Buildup of Fano resonances in the time domain in a double quantum dot Aharonov-Bohm interferometer
• Probing topological states through the exact non-Markovian decoherence dynamics of a spin coupled to a spin bath in real-time domain
• Exact dynamics and thermalization of open quantum systems coupled to reservoir through particle exchanges

Cited by in corpus (4)

• Open quantum system dynamics and the mean force Gibbs state
• Open-system approach to nonequilibrium quantum thermodynamics at arbitrary coupling
• Strong Coupling Thermodynamics and Stochastic Thermodynamics from the Unifying Perspective of Time-Scale Separation
• On the energetic analysis of autonomous quantum systems