10 papers
Miniatures on Open Quantum Systems
Jan Derezinski, Vojkan Jaksic, Claude-Alain Pillet
We presents a unified and concise exposition of key topics in the mathematical theory of open quantum systems, developed within the framework of operator algebras. The manuscript c…
Entropy Maximization and Weak Gibbsianity of Quasi-Free Fermionic States
Vojkan JakÅ¡iÄ, Vojkan Jakšić, Claude-Alain Pillet +1
In their 1972 study of approach to equilibrium, Lanford and Robinson showed that gauge-invariant quasi-free states of lattice fermions maximize entropy among all translation-invari…
What is a Fluctuation Theorem?
Noé Cuneo, Vojkan JakÅ¡iÄ, Claude-Alain Pillet +1
This book provides a modern review of Fluctuation Relations and Fluctuation Theorems in nonequilibrium statistical mechanics. It focuses on the pioneering perspectives of Gallavott…
Fluctuation Theorem and Thermodynamic Formalism
Noé Cuneo, Vojkan JakÅ¡iÄ, Claude-Alain Pillet +1
We study the Fluctuation Theorem (FT) for entropy production in chaotic discrete-time dynamical systems on compact metric spaces, and extend it to empirical measures, all continuou…
Entropic Fluctuation Theorems for the Spin-Fermion Model
Tristan Benoist, Laurent Bruneau, Vojkan JakÅ¡iÄ +2
We study entropic fluctuations in the Spin-Fermion model describing an -level quantum system coupled to several independent thermal free Fermi gas reservoirs. We establish the q…
On entropy production of repeated quantum measurements III. Quantum detailed balance
Tristan Benoist, Noé Cuneo, Vojkan JakÅ¡iÄ +1
In light of the dynamical-systems approach to entropy production in repeated quantum measurements, proposed and illustrated in Commun. Math. Phys. 357, 77-123 (2018) [arXiv:1607.00…