Unification of the first law of quantum thermodynamics
arXiv:2208.10561 · doi:10.1088/1367-2630/acc967
Abstract
Underlying the classical thermodynamic principles are analogous microscopic laws, arising from the fundamental axioms of quantum mechanics. These define quantum thermodynamic variables such as quantum work and heat and characterize the possible transformations of open quantum systems. The foremost quantum thermodynamic law is a simple statement concerning the conservation of energy. Nevertheless, there exist ambiguity and disagreement regarding the precise partition of a quantum system's energy change to work and heat. By treating quantum mechanics as a comprehensive theory, applicable to both the micro and macroscopic domains, and employing dynamical symmetries, we bridge the gaps between five popular thermodynamic approaches to the first law. These include both autonomous and semi-classical formulations, which define work in terms of an ensemble average, as well as the single shot paradigm, where work is defined as a deterministic quantity.
References in corpus (79)
- Quantum entanglement
- Supplementary information for "Quantum supremacy using a programmable superconducting processor"
- Mixed State Entanglement and Quantum Error Correction
- A Flat Universe from High-Resolution Maps of the Cosmic Microwave Background Radiation
- Quantum Coherence as a Resource
- Colloquium. Quantum Fluctuation Relations: Foundations and Applications
- Quantum Thermodynamics
- Quantum Thermodynamics
- Quantum Thermodynamic Cycles and quantum heat engines
- Fundamental limitations for quantum and nano thermodynamics
- A single-atom heat engine
- Fluctuation theorems: Work is not an observable
- The second laws of quantum thermodynamics
- The Resource Theory of Quantum States Out of Thermal Equilibrium
- Progressive field-state collapse and quantum non-demolition photon counting
- Quantum coherence, time-translation symmetry and thermodynamics
- Entropy production as correlation between system and reservoir
- Work extraction and thermodynamics for individual quantum systems
- Irreversible entropy production, from quantum to classical
- Bloch vectors for qudits
- Fluctuation Theorem for Arbitrary Open Quantum Systems
- Extending Noether's theorem by quantifying the asymmetry of quantum states
- Individual quantum probes for optimal thermometry
- Towards fully quantum second laws of thermodynamics: limitations on the evolution of quantum coherences
- Quantum Adiabatic Markovian Master Equations
- Markovian master equations for quantum thermal machines: local vs global approach
- Quantum absorption refrigerator with trapped ions
- Truly work-like work extraction
- A spin heat engine coupled to a harmonic-oscillator flywheel
- The role of quantum measurement in stochastic thermodynamics
- No-go theorem for the characterisation of work fluctuations in coherent quantum systems
- An introductory review of the resource theory approach to thermodynamics
- Colloquium: Quantum heat transport in condensed matter systems
- Quantum Refrigerator and the III-law of Thermodynamics
- Work measurement as a generalized quantum measurement
- Thermometry in the quantum regime: Recent theoretical progress
- Testing the validity of the local and global GKLS master equations on an exactly solvable model
- Non-equilibrium quantum fluctuations of work
- A Quantum Fluctuation Theorem
- From Completely Positive Maps to the Quantum Markovian Semigroup Master Equation
- Ideal Projective Measurements Have Infinite Resource Costs
- Gibbs-Preserving Maps outperform Thermal Operations in the quantum regime
- Fully quantum fluctuation theorems
- Quantum fluctuation theorems for arbitrary environments: adiabatic and non-adiabatic entropy production
- Quantum thermodynamics of general quantum processes
- Collisional quantum thermometry
- Are the laws of entanglement theory thermodynamical?
- Markovian Master Equation and Thermodynamics of Two-level System in Strong Laser Field
- Shortcut to Equilibration of an Open Quantum System
- Completely positive master equation for arbitrary driving and small level spacing
- Time Dependent Markovian Quantum Master Equation
- Quantum bath refrigeration towards absolute zero: unattainability principle challenged
- Autonomous Rotor Heat Engine
- Quantum Signatures in the Quantum Carnot Cycle
- Beyond heat baths: Generalized resource theories for small-scale thermodynamics
- The quantum-classical correspondence principle for work distributions
- Work and energy gain of heat-pumped quantized amplifiers
- Coarse-Graining Can Beat the Rotating Wave Approximation in Quantum Markovian Master Equations
- Energy consumption for Shortcuts To Adiabaticity
- Work estimation and work fluctuations in the presence of non-ideal measurements
- Time-reversal symmetric work distributions for closed quantum dynamics in the histories framework
- Unravelling the role of coherence in the first law of quantum thermodynamics
- Energetics of a Single Qubit Gate
- Thermodynamic consistency of quantum master equations
- Work as an external quantum observable and an operational quantum work fluctuation theorem
- From single-shot towards general work extraction in a quantum thermodynamic framework
- Thermodynamics of Optical Bloch Equations
- Optimal work extraction from quantum states by photo-assisted Cooper pair tunneling
- Wave-packet collapse and the core quantum postulates: Discreteness of quantum jumps from unitarity, repeatability, and actionable information
- Quantum Work in the Bohmian framework
- Fast Route to Thermalization
- Open system dynamics from thermodynamic compatibility
- Quantum thermo-dynamical construction for driven open quantum systems
- Thermodynamics of Minimal Coupling Quantum Heat Engines
- Quantum mechanical work
- Inertial Theorem: Overcoming the quantum adiabatic limit
- Non-Markovian dynamics under time-translation symmetry
- Revealing the strokes of autonomous quantum heat engines with work and heat fluctuations
- First Law of Quantum Thermodynamics in a Driven Open Two-Level System
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- Exploring quantum thermodynamics with NMR
- Exact finite-time correlation functions for multi-terminal setups: Connecting theoretical frameworks for quantum transport and thermodynamics
- Classical and quantum thermodynamics in a non-equilibrium regime: Application to Stirling engine
- Quantum work: Reconciling quantum mechanics and thermodynamics
- Work, Heat and Internal Energy in Open Quantum Systems: A Comparison of Four Approaches from the Autonomous System Framework
- Classical and quantum thermodynamics described as a system-bath model: The dimensionless minimum work principle
- Innovative Designs and Insights into Quantum Thermal Machines
- Energy additivity as a requirement for universal quantum thermodynamical frameworks
- Thermodynamics of autonomous optical Bloch equations
- Measuring work in quantum many-body systems using a dynamical "work agent"
- Work and heat exchanged during sudden quenches of strongly coupled quantum systems
- The concept of minimal dissipation and the identification of work in autonomous systems: A view from classical statistical physics