5 papers
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…
Dark Subspaces and Invariant Measures of Quantum Trajectories
Tristan Benoist, Clément Pellegrini, Anna Szczepanek
Quantum trajectories are Markov processes describing the evolution of a quantum system subject to indirect measurements. They can be viewed as place dependent iterated function sys…
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…
Quantum trajectory of the one atom maser
Tristan Benoist, Laurent Bruneau, Clément Pellegrini
The evolution of a quantum system undergoing repeated indirect measurements naturally leads to a Markov chain on the set of states which is called a quantum trajectory. In this pap…
Quantum Trajectories. Spectral Gap, Quasi-compactness & Limit Theorems
Tristan Benoist, Arnaud Hautecoeur, Clément Pellegrini
Quantum trajectories are Markov processes modeling the evolution of a quantum system subjected to repeated independent measurements. Inspired by the theory of random products of ma…