A note on two-times measurement entropy production and modular theory
DOI10.1007/s11005-024-01777-0arXiv2310.10582OpenAlexW4387691620MaRDI QIDQ6123424
Claude-Alain Pillet, Laurent Bruneau, Vojkan Jakšić, Annalisa Panati, Tristan Benoist
Publication date: 4 March 2024
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2310.10582
entropy productionquantum statistical mechanicsquantum measurementmodular theoryfluctuation relation
Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Quantum measurement theory, state operations, state preparations (81P15) Operator algebra methods applied to problems in quantum theory (81R15) Quantum entropies (81P17)
Cites Work
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- Entropic fluctuations in \(XY\) chains and reflectionless Jacobi matrices
- The Green-Kubo formula and the Onsager reciprocity relations in quantum statistical mechanics
- Instability of equilibrium states for coupled heat reservoirs at different temperatures
- Cyclic thermodynamic processes and entropy production
- The Green-Kubo formula for the spin-Fermion system
- Markovian master equations
- Relative entropy of states of von Neumann algebras
- Relative entropy for states of von Neumann algebras. II
- The fluctuation theorem as a Gibbs property
- A Gallavotti-Cohen-type symmetry in the large deviation functional for stochastic dynamics
- Non-equilibrium steady states of finite quantum systems coupled to thermal reservoirs
- Mathematical theory of non-equilibrium quantum statistical mechanics
- Non-equilibrium steady states of the \(XY\) chain
- Dissipative transport: thermal contacts and tunnelling junctions
- The stability of the nonequilibrium steady states
- Dynamical ensembles in stationary states.
- Positive cones and \(L^p\)-spaces for von Neumann algebras
- Entropy production and its positivity in nonlinear response theory of quantum dynamical systems.
- On the quasi-static evolution of nonequilibrium steady states
- On entropy production of repeated quantum measurements. I. General theory
- The Green-Kubo formula for locally interacting fermionic open systems
- Theory of non-equilibrium stationary states as a theory of resonances
- Linear response theory for thermally driven quantum open systems
- On the equilibrium states in quantum statistical mechanics
- On entropy production of repeated quantum measurements. II: Examples
- QUANTUM HYPOTHESIS TESTING AND NON-EQUILIBRIUM STATISTICAL MECHANICS
- Entropic fluctuations in statistical mechanics: I. Classical dynamical systems
- The Dual Spaces of C ∗ -Algebras
- Transport properties of quasi-free fermions
- Fluctuation theorem for stochastic dynamics
- HOW SHOULD ONE DEFINE ENTROPY PRODUCTION FOR NONEQUILIBRIUM QUANTUM SPIN SYSTEMS?
- Quantum Dynamical Systems
- Topics in Spectral Theory
- Topics in Non-Equilibrium Quantum Statistical Mechanics
- Perturbation Theory of W*-Dynamics, Liouvilleans and KMS-States
- VARIATIONAL PRINCIPLE FOR NON-EQUILIBRIUM STEADY STATES OF THE XX MODEL
- LARGE DEVIATION GENERATING FUNCTION FOR CURRENTS IN THE PAULI–FIERZ MODEL
- Entropic Fluctuations in Quantum Statistical Mechanics. An Introduction
- Return to equilibrium
- On entropy production in quantum statistical mechanics.
- Entropy production in quantum spin systems
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