Extending the laws of thermodynamics for arbitrary autonomous quantum systems

Abstract

Originally formulated for macroscopic machines, the laws of thermodynamics were recently shown to hold for quantum systems coupled to ideal sources of work (external classical fields) and heat (systems at equilibrium). Ongoing efforts have been focusing on extending the validity of thermodynamic laws to more realistic, non-ideal energy sources. Here, we go beyond these extensions and show that energy exchanges between arbitrary quantum systems are structured by the laws of thermodynamics. We first generalize the second law and identify the associated work and heat exchanges. After recovering known results from ideal work and heat sources, we analyze some consequences of hybrid work and heat sources. We illustrate our general laws with microscopic machines realizing thermodynamic tasks in which the roles of heat and work sources are simultaneously played by elementary quantum systems. Our results open perspectives to understand and optimize the energetic performances of realistic quantum devices, at any scale.

arXiv comment9 pages, 3 figures. Accepted in PRX Quantum (2023)

References in corpus (54)

• A nonequilibrium equality for free energy differences
• Stochastic thermodynamics, fluctuation theorems, and molecular machines
• The Entropy Production Fluctuation Theorem and the Nonequilibrium Work Relation for Free Energy Differences
• Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems
• The role of quantum information in thermodynamics --- a topical review
• The second laws of quantum thermodynamics
• Extractable work from ensembles of quantum batteries. Entanglement helps
• The Resource Theory of Quantum States Out of Thermal Equilibrium
• Maximal work extraction from quantum systems
• How small can thermal machines be? The smallest possible refrigerator
• Entropy production as correlation between system and reservoir
• Work extraction and thermodynamics for individual quantum systems
• Irreversible entropy production, from quantum to classical
• Quantum and Information Thermodynamics: A Unifying Framework based on Repeated Interactions
• Fluctuation Theorem with Information Exchange: Role of Correlations in Stochastic Thermodynamics
• Observing a quantum Maxwell demon at work
• The Quantum Absorption Refrigerator
• Quantum engine efficiency bound beyond the second law of thermodynamics
• Nonequilibrium entropy production for open quantum systems
• Experimental Tomographic State Reconstruction of Itinerant Microwave Photons
• Entropy production and thermodynamic power of the squeezed thermal reservoir
• Performance bound for quantum absorption refrigerators
• Quantum thermal absorption machines: refrigerators, engines and clocks
• Reversing the direction of heat flow using quantum correlations
• On the operation of machines powered by quantum non-thermal baths
• The energetic cost of work extraction
• First and Second Law of Quantum Thermodynamics: A Consistent Derivation Based on a Microscopic Definition of Entropy
• Thermodynamics of weakly coherent collisional models
• The Wigner Entropy Production Rate
• Generalization of the Second Law for a Nonequilibrium Initial State
• The second law of quantum thermodynamics as an equality
• Heat-machine control by quantum-state preparation: from quantum engines to refrigerators
• Correlating thermal machines and the second law at the nanoscale
• Local effective dynamics of quantum systems: A generalized approach to work and heat
• Work and energy gain of heat-pumped quantized amplifiers
• Realising a quantum absorption refrigerator with an atom-cavity system
• Exact open quantum system dynamics using the Hierarchy of Pure States (HOPS)
• The squeezed thermal reservoir as a generalized equilibrium reservoir
• Quantum coherence, many-body correlations, and non-thermal effects for autonomous thermal machines
• Energetic instability of passive states in thermodynamics
• Work production of quantum rotor engines
• Reversible work extraction in a hybrid opto-mechanical system
• Clausius Inequality for Finite Baths Reveals Universal Efficiency Improvements
• Dissipation, Correlation and Lags in Heat Engines
• Thermodynamics of Optical Bloch Equations
• Global passivity in microscopic thermodynamics
• An autonomous quantum machine to measure the thermodynamic arrow of time
• Quantitative tomography for continuous variable quantum systems
• Autonomous implementation of thermodynamic cycles at the nanoscale
• The thermodynamic cost of quantum operations
• Thermalization induced by quantum scattering
• Post-selection and quantum energetics
• Quantum Measurements, Energy Conservation and Quantum Clocks
• Quantum thermodynamics of two bosonic systems

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• Dynamics of a strongly coupled quantum heat engine -- computing bath observables from the hierarchy of pure states
• A thermodynamically consistent approach to the energy costs of quantum measurements
• Work, Heat and Internal Energy in Open Quantum Systems: A Comparison of Four Approaches from the Autonomous System Framework
• Local and global approaches to the thermodynamics of pure decoherence processes in open quantum systems
• A Thermodynamic Framework for Coherently Driven Systems
• Simultaneous symmetry breaking in spontaneous Floquet states: temporal Floquet-Nambu-Goldstone modes, Floquet thermodynamics, and the time operator
• Entropy Production from Maximum Entropy Principle: a Unifying Approach
• Energy exchange and fluctuations between a dissipative qubit and a monitor under continuous measurement and feedback
• Thermodynamics of autonomous optical Bloch equations
• Local energy assignment for two interacting quantum thermal reservoirs
• Typical Positivity of Nonequilibrium Entropy Production for Pure States
• The Jaynes Cummings model as an autonomous Maxwell demon
• Entropy production versus memory effects in two-level open quantum systems