Fluctuation theorems for genuine quantum mechanical regimes
arXiv:2211.16179 · doi:10.1103/PhysRevA.107.052211
Abstract
Of indisputable relevance for non-equilibrium thermodynamics, fluctuations theorems have been generalized to the framework of quantum thermodynamics, with the notion of work playing a key role in such contexts. The typical approach consists of treating work as a stochastic variable and the acting system as an eminently classical device with a deterministic dynamics. Inspired by technological advances in the field of quantum machines, here we look for corrections to work fluctuations theorems when the acting system is allowed to enter the quantum domain. This entails including the acting system in the dynamics and letting it share a nonclassical state with the system acted upon. Moreover, favoring a mechanical perspective to this program, we employ a concept of work observable. For simplicity, we choose as theoretical platform the autonomous dynamics of a two-particle system with an elastic coupling. For some specific processes, we derive several fluctuation theorems within both the quantum and classical statistical arenas. In the quantum results, we find that, along with entanglement and quantum coherence, aspects of inertia also play a significant role since they regulate the route to mechanical equilibrium.
arXiv commentIn this new version, we added the Appendix and made minor changes to the text. This is the final version, accepted for publication
References in corpus (41)
- A nonequilibrium equality for free energy differences
- The Entropy Production Fluctuation Theorem and the Nonequilibrium Work Relation for Free Energy Differences
- Colloquium. Quantum Fluctuation Relations: Foundations and Applications
- A single-atom heat engine
- Fluctuation theorems: Work is not an observable
- The Resource Theory of Quantum States Out of Thermal Equilibrium
- Maximal work extraction from quantum systems
- Work extraction and thermodynamics for individual quantum systems
- Fluctuation Theorem for Arbitrary Open Quantum Systems
- Information processing and the second law of thermodynamics: an inclusive, Hamiltonian approach
- No-go theorem for the characterisation of work fluctuations in coherent quantum systems
- Comparison of far-from-equilibrium work relations
- Perspective: Quantum Thermodynamics
- Work measurement as a generalized quantum measurement
- Daemonic Ergotropy: Enhanced Work Extraction from Quantum Correlations
- Non-equilibrium quantum fluctuations of work
- Employing trapped cold ions to verify the quantum Jarzynski equality
- First and Second Law of Quantum Thermodynamics: A Consistent Derivation Based on a Microscopic Definition of Entropy
- Optimal work extraction and thermodynamics of quantum measurements and correlations
- Quantum work and the thermodynamic cost of quantum measurements
- Fully quantum fluctuation theorems
- Quantum fluctuation theorems, contextuality and work quasi-probabilities
- The second law of quantum thermodynamics as an equality
- Heat-machine control by quantum-state preparation: from quantum engines to refrigerators
- Local effective dynamics of quantum systems: A generalized approach to work and heat
- Correlations in quantum thermodynamics: Heat, work, and entropy production
- Work and energy gain of heat-pumped quantized amplifiers
- Failure of the work-Hamiltonian connection for free energy calculations
- Comparison of work fluctuation relations
- Jarzynski equation for a simple quantum system: Comparing two definitions of work
- Performance limits of multilevel and multipartite quantum heat machines
- Quantum Bochkov-Kuzovlev Work Fluctuation Theorems
- Comment on: Failure of the Work-Hamiltonian Connection for Free-Energy Calculations [Phys Rev Lett 100, 020601 (2008), arXiv:0704.0761]
- Optimal work extraction from quantum states by photo-assisted Cooper pair tunneling
- Class of quasiprobability distributions of work and initial quantum coherence
- Comment on "Failure of the work-Hamiltonian connection for free-energy calculations" by Jose M. G. Vilar and J. Miguel Rubi
- What is the most general class of quasiprobabilities of work?
- Quantum mechanical work
- Quantum thermodynamics and work fluctuations with applications to magnetic resonance
- Information Fluctuation Theorem for an Open Quantum Bipartite System
- Quantum mean-square predictors and thermodynamics