Publications

In preparation

  • T. Benoist, M. Fraas, V. Jaksic and C.-A. Pillet, Adiabatic theorem in quantum statistical mechanics, in preparation.
  • T. Benoist, V. Jaksic, Y. Pautrat and C.-A. Pillet, On entropy production of repeated quantum measurements II. Examples, in preparation.
  • T. Benoist, V. Jaksic, A. Panati, Y. Pautrat and C.-A. Pillet, Energy conservation and fluctuation relations for open quantum systems, in preparation.
  • T. Benoist, A. Panati and R. Raquépas, Heat full statistics in open quantum systems, in preparation.

Articles

  • T. Benoist, V. Jaksic and C.-A. Pillet, Energy statistics in open harmonic networks, J. Stat. Phys. (2017)  (link, preprint)
  • T. Benoist, M. Fraas, Y. Pautrat and C. Pellegrini, Invariant measure for quantum trajectories, (2017) arXiv:1703.10773 (preprint).
  • T. Benoist, I. Nechita, On bipartite unitary matrices generating subalgebra-preserving quantum operations, Linear Algebra Appl. 521 (2017) 70 – 103 (link, preprint)
  • T. Benoist, V. Jaksic, Y. Pautrat, C.-A. Pillet, On entropy production of repeated quantum measurements I. General theory, Commun. Math. Phys. (2017) (link, preprint)
  • T. Benoist, M. Fraas, V. Jaksic, C.-A. Pillet, Full statistics of erasure processes: Isothermal adiabatic theory and a statistical Landauer principle, Rev. Roumaine Math. Pures Appl. 62 (2017) 259 – 286 (link, preprint)
  • T. Benoist, C. Pellegrini, F. Ticozzi, Exponential Stability of Subspaces for Quantum Stochastic Master Equations, Ann. Henri Poincaré, 18 (2017) 2045-2074 (link, preprint)
  • T. Benoist, V. Jaksic, A. Panati, Y. Pautrat, C.-A. Pillet, Full statistics of energy conservation in two times measurement protocols, Phys. Rev. E 92 (2015) 032115. (link, preprint)
  • T. Benoist, C. Pellegrini, Large Time Behavior and Convergence Rate for Quantum Filters Under Standard Non Demolition Conditions, Commun. Math. Phys. 331 (2014) 703 – 723. (link, preprint)
  • M. Bauer, D. Bernard, T. Benoist, Iterated stochastic measurements, J. Phys. A: Math. Theor. 45 (2012) 494020. (link, preprint)
  • M. Bauer, T. Benoist, D. Bernard, Repeated Quantum Non-Demolition Measurements: Convergence and Continuous Time Limit, Ann. Henri Poincaré 14 (2013) 639 – 679. (link, preprint)

Ph.D. Thesis

Open quantum systems and quantum stochastic processes (September 2014)

Advisor: Denis Bernard