42 citations · 263 across the 27 of their papers we have counts for
30 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…
On entropy production of repeated quantum measurements III. Quantum detailed balance
Tristan Benoist, Noé Cuneo, Vojkan Jakšić +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 Fluctuation Theorems for the Spin-Fermion Model
Tristan Benoist, Laurent Bruneau, Vojkan Jakšić +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…
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…
Entropic Fluctuations in Statistical Mechanics II. Quantum Dynamical Systems
T. Benoist, L. Bruneau, V. Jakšić +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…
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…
A note on two-times measurement entropy production and modular theory
Tristan Benoist, Laurent Bruneau, Vojkan Jaksic +2
Recent theoretical investigations of the two-times measurement entropy production (2TMEP) in quantum statistical mechanics have shed a new light on the mathematics and physics of t…
Limit theorems for Quantum Trajectories
Tristan Benoist, Jan-Luka Fatras, Clément Pellegrini
Quantum trajectories are Markov processes modeling the evolution of a quantum system subjected to repeated independent measurements. Under purification and irreducibility assumptio…
The appearance of particle tracks in detectors -- II: the semi-classical realm
Tristan Benoist, Martin Fraas, Jürg Fröhlich
The appearance of tracks, close to classical orbits, left by charged quantum particles propagating inside a detector, such as a cavity periodically illuminated by light pulses, is…
Deviation bounds and concentration inequalities for quantum noises
Tristan Benoist, Lisa Hänggli, Cambyse Rouzé
We provide a stochastic interpretation of non-commutative Dirichlet forms in the context of quantum filtering. For stochastic processes motivated by quantum optics experiments, we…
Emergence of jumps in quantum trajectories via homogeneization
Tristan Benoist, Cédric Bernardin, Raphaël Chetrite +3
In the strong noise regime, we study the homogeneization of quantum trajectories i.e. stochastic processes appearing in the context of quantum measurement. When the generator of th…
On entropy production of repeated quantum measurements II. Examples
Tristan Benoist, Noé Cuneo, Vojkan Jakšić +1
We illustrate the mathematical theory of entropy production in repeated quantum measurement processes developed in a previous work by studying examples of quantum instruments displ…
The appearance of particle tracks in detectors
Miguel Ballesteros, Tristan Benoist, Martin Fraas +1
The phenomenon that a quantum particle propagating in a detector, such as a Wilson cloud chamber, leaves a track close to a classical trajectory is analyzed. We introduce an ideali…
Invariant measure for stochastic Schrödinger equations
Tristan Benoist, Martin Fraas, Yan Pautrat +1
Quantum trajectories are Markov processes that describe the time-evolution of a quantum system undergoing continuous indirect measurement. Mathematically, they are defined as solut…
Heat conservation and fluctuations between quantum reservoirs in the Two-Time Measurement picture
Tristan Benoist, Annalisa Panati, Yan Pautrat
This work concerns the statistics of the Two-Time Measurement definition of heat variation in each reservoir of a thermodynamic quantum system. We study the cumulant generating fun…
Control of fluctuations and heavy tails for heat variation in the two-time measurement framework
Tristan Benoist, Annalisa Panati, Renaud Raquépas
We study heat fluctuations in the two-time measurement framework. For bounded perturbations, we give sufficient ultraviolet regularity conditions on the perturbation for the moment…
Quantum non demolition measurements: parameter estimation for mixtures of multinomials
Tristan Benoist, F Gamboa, C Pellegrini
In Quantum Non Demolition measurements, the sequence of observations is distributed as a mixture of multinomial random variables. Parameters of the dynamics are naturally encoded i…
Energy statistics in open harmonic networks
Tristan Benoist, Vojkan Jakšić, Claude-Alain Pillet
We relate the large time asymptotics of the energy statistics in open harmonic networks to the variance-gamma distribution and prove a full Large Deviation Principle. We consider b…
Invariant Measure for Quantum Trajectories
Tristan Benoist, Martin Fraas, Yan Pautrat +1
We study a class of Markov chains that model the evolution of a quantum system subject to repeated measurements. Each Markov chain in this class is defined by a measure on the spac…
On bipartite unitary matrices generating subalgebra-preserving quantum operations
Tristan Benoist, Ion Nechita
We study the structure of bipartite unitary operators which generate via the Stinespring dilation theorem, quantum operations preserving some given matrix algebra, independently of…
On entropy production of repeated quantum measurements I. General theory
Tristan Benoist, Vojkan Jaksic, Yan Pautrat +1
We study entropy production (EP) in processes involving repeated quantum measurements of finite quantum systems. Adopting a dynamical system approach, we develop a thermodynamic fo…