Numerical study of non-adiabatic quantum thermodynamics of the driven resonant level model: Non-equilibrium entropy production and higher order corrections
arXiv:2204.09494 · doi:10.1088/1361-648X/ac99c8
Abstract
We present our numerical study on quantum thermodynamics of the resonant level model subjected to non-equilibrium condition as well as external driving. Following our previous work on non-equilibrium quantum thermodynamics (Phys. Rev. B 101, 184304 [2020]), we expand the density operator into a series of power in the driving speed, where we can determine the non-adiabatic thermodynamic quantities. Particularly, we calculate the non-equilibrium entropy production rate as well as higher order non-adiabatic corrections to the energy and/or population. In the limit of weak system-bath coupling, our results reduce to the one from the quantum master equation.
References in corpus (37)
- 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
- Perspective: Numerically "exact" approach to open quantum dynamics: The hierarchical equations of motion (HEOM)
- Exact dynamics of dissipative electronic systems and quantum transport: Hierarchical equations of motion approach
- Mechanical systems in the quantum regime
- Experimental demonstration of quantum effects in the operation of microscopic heat engines
- Fluctuation Theorem for Arbitrary Open Quantum Systems
- Quantum and Information Thermodynamics: A Unifying Framework based on Repeated Interactions
- Perspective: Quantum Thermodynamics
- Quantum Thermodynamics: A Nonequilibrium Green's Functions Approach
- On the nature of heat in strongly coupled open quantum systems
- Current-induced forces in mesoscopic systems: a scattering matrix approach
- First and Second Law of Quantum Thermodynamics: A Consistent Derivation Based on a Microscopic Definition of Entropy
- Energy exchange in driven open quantum systems at strong coupling
- Experimental Realization of a Minimal Microscopic Heat Engine
- Born-Oppenheimer Dynamics, Electronic Friction, and the Inclusion of Electron-Electron Interactions
- Universal aspects of non-equilibrium currents in a quantum dot
- Quantum thermodynamics of the driven resonant level model
- Imaginary-time formulation of steady-state nonequilibrium: application to strongly correlated transport
- The equilibrium states of open quantum systems in the strong coupling regime
- A universal approach to quantum thermodynamics in the strong coupling regime
- Work and its fluctuations in a driven quantum system
- Landauer-Büttiker approach to strongly coupled quantum thermodynamics: inside-outside duality of entropy evolution
- Quantum thermodynamics of the resonant-level model with driven system-bath coupling
- Energy distribution and local fluctuations in strongly coupled open quantum systems: The extended resonant level model
- Hierarchical quantum master equation approach to current fluctuations in nonequilibrium charge transport through nanosystems
- 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
- Nonequilibrium Thermodynamics and Steady State Density Matrix for Quantum Open Systems
- Mixed-state aspects of an out-of-equilibrium Kondo problem in a quantum dot
- Transport and thermodynamics in quantum junctions: A scattering approach