Slow dynamics and thermodynamics of open quantum systems
arXiv:1704.01509 · doi:10.1103/PhysRevLett.119.050601
Abstract
We develop a perturbation theory of quantum (and classical) master equations with slowly varying parameters, applicable to systems which are externally controlled on a time scale much longer than their characteristic relaxation time. We apply this technique to the analysis of finite-time isothermal processes in which, differently from quasi-static transformations, the state of the system is not able to continuously relax to the equilibrium ensemble. Our approach allows to formally evaluate perturbations up to arbitrary order to the work and heat exchange associated to an arbitrary process. Within first order in the perturbation expansion, we identify a general formula for the efficiency at maximum power of a finite-time Carnot engine. We also clarify under which assumptions and in which limit one can recover previous phenomenological results as, for example, the Curzon-Ahlborn efficiency.
10 pages
References in corpus (5)
Cited by in corpus (106)
- Introduction to the Pontryagin Maximum Principle for Quantum Optimal Control
- Optimal cycles for low-dissipation heat engines
- Thermodynamic Geometry of Microscopic Heat Engines
- Ultra-stable charging of fast-scrambling SYK quantum batteries
- Thermodynamic length in open quantum systems
- Thermodynamic uncertainty relation in slowly driven quantum heat engines
- Identifying optimal cycles in quantum thermal machines with reinforcement-learning
- Efficiency of harmonic quantum Otto engines at maximal power
- Work fluctuations in slow processes: quantum signatures and optimal control
- Quantum Engines and Refrigerators
- Finite-Time Quantum Landauer Principle and Quantum Coherence
- Geometric optimisation of quantum thermodynamic processes
- Quantum work statistics close to equilibrium
- Universal constraint for efficiency and power of a low-dissipation heat engine
- Quantum fluctuations hinder finite-time information erasure near the Landauer limit
- Geometric properties of adiabatic quantum thermal machines
- Bosons Outperform Fermions -- The Thermodynamic Advantage of Symmetry
- Energy dynamics, heat production and heat-work conversion with qubits: towards the development of quantum machines
- Non-Markov Enhancement of Maximum Power for Quantum Thermal Machines
- Maximum power and corresponding efficiency for two-level heat engines and refrigerators: optimality of fast cycles
- A universal approach to quantum thermodynamics in the strong coupling regime
- Violation of TUR in a periodically driven work-to-work converter from weak to strong dissipation
- Experimental validation of the -scaling entropy generation in finite-time thermodynamics with dry air
- Low-dissipation Carnot-like heat engines at maximum efficient power
- Entropy-Based Formulation of Thermodynamics in Arbitrary Quantum Evolution
- Speed-ups to isothermality: Enhanced quantum thermal machines through control of the system-bath coupling
- Entropy production and asymptotic factorization via thermalization: a collisional model approach
- Optimal thermodynamic control in open quantum systems
- Optimal operation of a three-level quantum heat engine and universal nature of efficiency
- Geometry of work fluctuations versus efficiency in microscopic thermal machines
- Optimal operating protocol to achieve efficiency at maximum power of heat engines
- Power fluctuations in a finite-time quantum Carnot engine
- Boosting the performance of the Quantum Otto heat engines
- Experimental verification of the work fluctuation-dissipation relation for information-to-work conversion
- Geodesic path for the minimal energy cost in shortcuts to isothermality
- Geometric optimization of non-equilibrium adiabatic thermal machines and implementation in a qubit system
- Geometrical bounds on irreversibility in open quantum systems
- Pareto-optimal cycles for power, efficiency and fluctuations of quantum heat engines using reinforcement learning
- Optimal work-to-work conversion of a nonlinear quantum brownian duet
- Ultra-cold Single-Atom Quantum Heat Engines
- Maximum power heat engines and refrigerators in the fast-driving regime
- Fundamental energy cost of finite-time computing
- Optimizing Thermodynamic Cycles with Two Finite-Sized Reservoirs
- Thermodynamics and optimal protocols of multidimensional quadratic Brownian systems
- Quantum Heat Engines with Singular Interactions
- Quantum information geometry of driven CFTs
- Effect of finite-size heat source's heat capacity on the efficiency of heat engine
- Continuous Measurement Boosted Adiabatic Quantum Thermal Machines
- Unified trade-off optimization of a three-level quantum refrigerator
- Two-Stroke Optimization Scheme for Mesoscopic Refrigerators
- Geometrical Formulation of Adiabatic Pumping as a Heat Engine
- Finite-time Landauer principle beyond weak coupling
- Universal approach to quantum thermodynamics of strongly coupled systems under nonequilibrium conditions and external driving
- Imperfect Thermalizations Allow for Optimal Thermodynamic Processes
- Joint statistics of work and entropy production along quantum trajectories
- 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
- Chiral Bell-state transfer via dissipative Liouvillian dynamics
- A microscopic theory of Curzon-Ahlborn heat engine
- Extrapolating the thermodynamic length with finite-time measurements
- Three-level laser heat engine at optimal performance with ecological function
- Variational approach to the optimal control of coherently driven, open quantum system dynamics
- Efficiency large deviation function of quantum heat engines
- Performance of quantum heat engines under the influence of long-range interactions
- Hierarchical Onsager symmetries in adiabatically driven linear irreversible heat engines
- Optimization of quantized charge pumping using full counting statistics
- Thermodynamic geometry of ideal quantum gases: a general framework and a geometric picture of BEC-enhanced heat engines
- Optimal finite-time heat engines under constrained control
- Optimizing Brownian heat engine with shortcut strategy
- Maximum efficiency of low-dissipation refrigerators at arbitrary cooling power
- Model-free optimization of power/efficiency tradeoffs in quantum thermal machines using reinforcement learning
- Optimal control of dissipation and work fluctuations for rapidly driven systems
- Coherent Transport in Periodically Driven Mesoscopic Conductors: From Scattering Matrices to Quantum Thermodynamics
- Performance optimization of low-dissipation thermal machines revisited
- Optimization of Asymmetric Quantum Otto Engine Cycles
- Asymmetries of thermal processes in open quantum systems
- Trajectory tracking for non-Markovian quantum systems
- Global linear-irreversible principle for optimization in finite-time thermodynamics
- Exploring the Optimal Cycle for Quantum Heat Engine using Reinforcement Learning
- Self-consistency of optimizing finite-time Carnot engines with the low-dissipation model
- Simulating finite-time quantum isothermal processes with generic superconducting quantum circuit
- Maximum efficiency of absorption refrigerators at arbitrary cooling power
- Generalised linear response theory for the full quantum work statistics
- Work statistics in slow thermodynamic processes
- Geometric characterization for cyclic heat engines far from equilibrium
- Finite-Time Optimization of Quantum Szilard heat engine
- Coupled autonomous thermal machines and efficiency at maximum power
- Maximum efficiency of low-dissipation heat pumps at given heating load
- Efficiency at the maximum power of the power law dissipative Carnot-like Heat engines with non-adiabatic dissipation
- Ergodicity Breaking and Scaling Relations for Finite-Time First-Order Phase Transition
- Information geometry of transitions between quantum nonequilibrium steady states
- Witnessing non-Markovianity with Gaussian quantum steering in collision model
- Nonadiabatic evolution and thermodynamics of a time-dependent open quantum system
- Quantum thermochemical engines
- Engineering Ratchet-Based Particle Separation via Shortcuts to Isothermality
- Quantum transport phenomena induced by time-dependent fields
- Spin-chain based quantum thermal machines
- Analysis of entropy production in finitely slow processes between nonequilibrium steady states
- Full Quantum Work Statistics for Non-Homogeneous Many-Body Systems
- Heat engine model exhibit super-universal feature and capture the efficiencies of different power plants
- Stochastic Thermodynamics at the Quantum-Classical Boundary: A Self-Consistent Framework Based on Adiabatic-Response Theory
- Thermoelectric performance of nano junctions subjected to microwave driven spin-orbit coupling
- Shortcut-to-adiabaticity for coupled harmonic oscillators
- Quantum Otto engines at relativistic energies
- Geometric Bounds on the Power of Adiabatic Thermal Machines
- Quantum thermodynamics under continuous monitoring: a general framework
- Fluctuations in Extractable Work and Bounds on the Charging Power of Quantum Batteries