7 papers
Invariant measures of randomized quantum trajectories
Tristan Benoist, Sascha Lill, Cornelia Vogel
Quantum trajectories are Markov chains modeling quantum systems subjected to repeated indirect measurements. Their stationary regime depends on what observables are measured on the…
Asymptotic stability and ergodic properties of quantum trajectories under imperfect measurement
Nina H. Amini, Tristan Benoist, Maël Bompais +1
We investigate the asymptotic stability and ergodic properties of quantum trajectories under imperfect measurement, extending previous results established for the ideal case of per…
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…
Entropic Fluctuations in Statistical Mechanics II. Quantum Dynamical Systems
T. Benoist, L. Bruneau, V. JakÅ¡iÄ +2
The celebrated Evans-Searles, respectively Gallavotti-Cohen, fluctuation theorem concerns certain universal statistical features of the entropy production rate of a classical syste…
Exponentially fast selection of sectors for quantum trajectories beyond non demolition measurements
Tristan Benoist, Linda Greggio, Clément Pellegrini
We show that, in long time, quantum trajectories select an invariant subspace of the Hilbert space of the system being indirectly measured. This selection is shown to be exponentia…