Quantum Thermodynamics with Degenerate Eigenstate Coherences

Abstract

We establish quantum thermodynamics for open quantum systems weakly coupled to their reservoirs when the system exhibits degeneracies. The first and second law of thermodynamics are derived, as well as a finite-time fluctuation theorem for mechanical work and energy and matter currents. Using a double quantum dot junction model, local eigenbasis coherences are shown to play a crucial role on thermodynamics and on the electron counting statistics.

36 pages, 7 figures

References in corpus (12)

• Ensemble and Trajectory Thermodynamics: A Brief Introduction
• Observation of Quantized Conductance in Neutral Matter
• Test of Jarzynski and Crooks fluctuation relations in an electronic system
• Performance bound for quantum absorption refrigerators
• Electron counting in quantum dots
• Preservation of Positivity by Dynamical Coarse-Graining
• Rate equations for Coulomb blockade with ferromagnetic leads
• A benzene interference single-electron transistor
• Stochastic thermodynamics of rapidly driven systems
• Transport Statistics of Bistable Systems
• Thermodynamics of the polaron master equation at finite bias
• Quantum Equilibration under Constraints and Transport Balance

Cited by in corpus (21)

• Thermodynamics of Quantum Information Flows
• Thermodynamic consistency of quantum master equations
• Open system dynamics from thermodynamic compatibility
• Hybrid quantum-classical modeling of quantum dot devices
• Kinetics and thermodynamics of a driven open quantum system
• Full counting statistics and coherences: fluctuation symmetry in heat transport with the Unified quantum master equation
• From non-equilibrium Green's functions to quantum master equations for the density matrix and out-of-time-order correlators: steady state and adiabatic dynamics
• Quantum Fluctuation Theorem under Continuous Measurement and Feedback
• Double quantum-dot engine fueled by entanglement between electron spins
• Relation between topology and heat currents in multilevel absorption machines
• Fate of entanglement in magnetism under Lindbladian or non-Markovian dynamics and conditions for their transition to Landau-Lifshitz-Gilbert classical dynamics
• Role of coherence in quantum-dot-based nanomachines within the Coulomb blockade regime
• Electron-mediated entanglement of two distant macroscopic ferromagnets within a nonequilibrium spintronic device
• Thermodynamics of the Coarse-Graining Master Equation
• Metastability and quantum coherence-assisted sensing in interacting parallel quantum dots
• Quantum thermochemical engines
• Non-equilibrium boundary driven quantum systems: models, methods and properties
• Diagnosing thermalization dynamics of non-Hermitian quantum systems via GKSL master equations
• Open quantum systems and the grand canonical ensemble
• Photovoltaic properties evaluated by its thermodynamic evolution in a double quantum dot photocell
• Quantum entropy evolution in the photovoltaic process of a quantum dot photocell