Tristan Benoist

Tristan Benoist

I am a researcher (CR CNRS) in mathematical physics in the probability team of Toulouse Mathematics Institute (IMT). I am also an associate researcher at neighboring Theoretical Physics Laboratory (LPT).

I am mainly interested in the mathematics of quantum system thermodynamics. I focus on definitions of thermodynamic quantities and their fluctuations, and study related questions in probability. In 2021 I gave a masterclass to master students in mathematics in Toulouse. It consisted of a short presentation of a non exhaustive selection of topics relating probability and quantum mechanics. The support I used is available: Introduction to quantum mechanics for probabilists.

With Ion Nechita and Clément Pellegrini, we organize the IMT-LPT mathematical physics seminar. The schedule is available on the IMT website and the LPT website.

I am the coordinator of ANR project “Quantum Trajectories (QTraj)”. Some postdoctoral positions and internships will be available. Contact me for information. I am also a member of ANR project ESQuisses.

We have a post doctoral position opening within ANR project QTraj. See the announcement.

Contact information



All my articles preprints are availbale on this arXiv page. You can also find my articles listed on my ORCID and this HAL page.

  1. T. Benoist, L. Hänggli and C. Rouzé, Deviation bounds and concentration inequalities for quantum noises, arXiv preprint arXiv:2109.13152 (preprint)
  2. T. Benoist, C. Bernardin, R. Chétrite, R. Chhaibi, J. Najnudel and C. Pellegrini, Emergence of jumps in quantum trajectories via homogeneization, Commun. Math. Phys. (2021) (link, preprint)
  3. T. Benoist, N. Cuneo, V. Jakšić and C.-A. Pillet, On entropy production of repeated quantum measurements II. Examples, J. Stat. Phys. 182 (2021) 44 (link, preprint)
  4. M. Ballesteros, T. Benoist, M. Fraas, and J. Fröhlich, The appearance of particle tracks in detectors, Commun. Math. Phys. 385 (2021) 429 – 463 (link, preprint)
  5. T. Benoist, M. Fraas, Y. Pautrat and C. Pellegrini, Invariant measure for stochastic Schrödinger equations, Ann. Henri Poincaré 22 (2021) 347 – 374 (link, preprint)
  6. T. Benoist, A. Panati and Y. Pautrat, Heat conservation and fluctuations for open quantum systems in the Two-Time, J. Stat. Phys. 178 (2020) 893 – 925 (link, preprint)
  7. T. Benoist, A. Panati and R. Raquépas, Control of fluctuations and heavy tails for heat variation in the two-time measurement framework, Ann. Henri Poincaré 20 (2019) 631 (link, preprint).
  8. T. Benoist, F. Gamboa and C. Pellegrini, Quantum non demolition measurements: parameter estimation for mixtures of multinomials, Electron. J. Stat. 12(1) (2018) 555 – 571 (link, preprint)
  9. T. Benoist, V. Jaksic and C.-A. Pillet, Energy statistics in open harmonic networks, J. Stat. Phys. 168 (2017) 1016 – 1030 (link, preprint)
  10. T. Benoist, M. Fraas, Y. Pautrat and C. Pellegrini, Invariant measure for quantum trajectories, Probab. Theory Relat. Fields 174 (2019) 307 – 334 (link, preprint).
  11. T. Benoist, I. Nechita, On bipartite unitary matrices generating subalgebra-preserving quantum operations, Linear Algebra Appl. 521 (2018) 70 – 103 (link, preprint)
  12. T. Benoist, V. Jaksic, Y. Pautrat, C.-A. Pillet, On entropy production of repeated quantum measurements I. General theory, Commun. Math. Phys. 357(1) (2018) 77 – 123 (link, preprint)
  13. 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)
  14. T. Benoist, C. Pellegrini, F. Ticozzi, Exponential Stability of Subspaces for Quantum Stochastic Master Equations, Ann. Henri Poincaré, 18 (2017) 2045-2074 (link, preprint)
  15. 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)
  16. 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)
  17. M. Bauer, D. Bernard, T. Benoist, Iterated stochastic measurements, J. Phys. A: Math. Theor. 45 (2012) 494020. (link, preprint)
  18. 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 (defended in September 2014, supervised by Denis Bernard)

Internships and Ph.Ds

Here is a list of examples of subjects of masters internships I can propose. They can all be continued into a Ph.D. or constitute the starting point of a Ph.D.

If you have any inquiry or idea of subject related to my research please feel free to contact me.

(no hierarchy is meant in the order of the list)

Full CV

You can consult my full CV.