42 citations · 263 across the 27 of their papers we have counts for
22 papers · 1 filter
Entropic Fluctuations in Quantum Statistical Mechanics: A Review
Tristan Benoist, Laurent Bruneau, Vojkan Jakšić +2
The celebrated Evans--Searles, respectively Gallavotti--Cohen, fluctuation theorem concerns certain universal statistical features of the entropy production rate of a classical sys…
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 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…
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…
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…
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…
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…
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…
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…
Full statistics of erasure processes: Isothermal adiabatic theory and a statistical Landauer principle
Tristan Benoist, Martin Fraas, Vojkan Jaksic +1
We study driven finite quantum systems in contact with a thermal reservoir in the regime in which the system changes slowly in comparison to the equilibration time. The associated…
Exponential Stability of Subspaces for Quantum Stochastic Master Equations
Tristan Benoist, Clément Pellegrini, Francesco Ticozzi
We study the stability of quantum pure states and, more generally, subspaces for stochastic dynamics that describe continuously--monitored systems. We show that the target subspace…
Full statistics of energy conservation in two times measurement protocols
Tristan Benoist, Vojkan Jaksic, Annalisa Panati +2
The first law of thermodynamics states that the average total energy current between different reservoirs vanishes at large times. In this note we examine this fact at the level of…
Large Time Behaviour and Convergence Rate for Non Demolition Quantum Trajectories
Tristan Benoist, Clement Pellegrini
A quantum system S undergoing continuous time measurement is usually described by a jump-diffusion stochastic differential equation. Such an equation is called a stochastic master…
Iterated Stochastic Measurements
Michel Bauer, Denis Bernard, Tristan Benoist
We describe a measurement device principle based on discrete iterations of Bayesian updating of system state probability distributions. Although purely classical by nature, these m…
Repeated quantum non-demolition measurements: convergence and continuous-time limit
Michel Bauer, Tristan Benoist, Denis Bernard
We analyze general enough models of repeated indirect measurements in which a quantum system interacts repeatedly with randomly chosen probes on which Von Neumann direct measuremen…