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20122026
most citedOn entropy production of repeated quantum measurements I. General theory

42 citations · 263 across the 27 of their papers we have counts for

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Showing 2024Show all

6 papers · 1 filter

math-ph2024★ 1 cited

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…

math.PR2024

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…

math-ph2024★ 5 cited

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…

math-ph2024★ 1 cited

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…

math-ph2024★ 2 cited

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…

math.PR2024

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…