research

My research is in the field of mathematical physics, especially on applications of probabilistic ideas to quantum mechanics. Recently, my main topics of research are related with repeated indirect measurements (their distributions, the information that can be extracted from them, their effect on the measured system) and with the so called full counting statistics (or two-time measurements, that allow for a reformulation of e.g. thermodynamic laws for quantum systems).

These lines of research are described in the manuscript for my habilitation thesis, which you're strongly encouraged to read, for otherwise I would have translated it for nothing :-)

- classical probability for quantum statistical mechanics

habilitation à diriger les recherches de l'Université Paris Saclay

- invariant measure for stochastic Schrödinger equations

with T. Benoist, M. Fraas, C. Pellegrini

to appear inAnnales Henri Poincaré

- heat conservation and fluctuations for open quantum systems in the two-time measurement picture
with T. Benoist, A. Panati

to appear in Journal of Statistical Physics

- recurrence and transience of continuous-time open quantum walks
with H. Bringuier, I. Bardet, C. Pellegrini

Séminaire de Probabilités L (2019)

- Landauerâ€™s principle for trajectories of repeated interaction systems

with E. Hanson, A. Joye, R. Raquépas

Annales Henri Poincaré 19 (2018)

- invariant measure for quantum trajectories
with T. Benoist, M. Fraas, C. Pellegrini

Probability Theory and Related Fields 174 (2019)

- passage times, exit times and Dirichlet problems for open quantum walks

with I. Bardet, D. Bernard

Journal of Statistical Physics 167-2 (2017)

- contractivity properties of a quantum diffusion semigroup

Journal of Mathematical Physics 58 (2017)

- on entropy production of repeated quantum measurements I. General theory

with T. Benoist, V. Jaksic, C.-A. Pillet

Communications in Mathematical Physics 357 (2018)

- Landauer's principle in repeated interaction systems

with E. Hanson, A. Joye, R. Raquépas

Communications in Mathematical Physics 349 (2017)

- irreducible decompositions and stationary states of quantum channels

with R. Carbone

Reports in Mathematical Physics 77 (2016)

- second-order asymptotics for quantum hypothesis testing in settings beyond i.i.d. ‒ quantum lattice systems and more

Journal of Mathematical Physics 57 (2016)

- open quantum random walks: reducibility, period, ergodic properties

with R. Carbone

Annales Henri Poincaré 17 (2016)

- full statistics of energy conservation in two times measurement protocols

with T. Benoist, V. Jaksic, A. Panati, C.-A. Pillet

Physical Reviews E, 92 (2015)

- homogeneous open quantum random walks on a lattice

with R. Carbone

Journal of Statistical Physics 160 (2015)

- entropic fluctuations in quantum statistical mechanics: an Introduction

with V. Jaksic, Y. Ogata, C.-A. Pillet

Lecture Notes of the Les Houches Summer School 95 (2010)

- a non-commutative Lévy-Cramér continuity theorem

with V. Jaksic, C.-A. Pillet

Markov Processes and Related Fields 16 (2010)

- a quantum central limit theorem for sums of independent identically distributed random variables

with V. Jaksic, C.-A. Pillet

Journal of Mathematical Physics 51 (2010)

- central limit theorem for locally interacting Fermi gas

with V. Jaksic, C.-A. Pillet

Communications in Mathematical Physics 285 (2009)

- transport properties of quasi-free fermions

with W. Aschbacher, V. Jaksic, C.-A. Pillet

Journal of Mathematical Physics 48 (2007)

- topics in non-equilibrium quantum statistical mechanics

with W. Aschbacher, V. Jaksic, C.-A. Pillet

Open quantum systems. III, Lecture Notes in Math. 1882 (2006)

- from repeated to continuous quantum interactions

with S. Attal

Annales Henri Poincaré 7 (2006)

- kernel and integral representations of operators on infinite dimensional toy Fock spaces

Séminaire de probabilitÃ©s XXXIX (2006)

- from n+1-level atom chains to n-dimensional noises

with S. Attal

Annales de l'Institut H. Poincaré Probab. Statist. 41 (2005)

- from Pauli matrices to quantum Itô formula

Mathematical Physics, Analysis and Geometry 8 (2005)

- stochastic integral representations of second quantization operators

Journal of Functional Analysis 208 (2004)

- des matrices de Pauli aux bruits quantiques

thèse de doctorat de l'Univ. Joseph Fourier