Yan Pautrat
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recent news

I will be in Toulouse from March 26 to March 27 to work with T. Benoist, C. Pellegrini and follow a minicourse by Madalin Guta.

The paper “Landauer’s principle for trajectories of repeated interaction systems”, with E. Hanson, A. Joye, R. Raquépas is accepted for publication in Annales Henri Poincaré.

I was in Cambridge from February 12 to February 14 to work with my collaborators N. Datta, E. Hanson and C. Rouzé.

The first version of the paper “Recurrence and transience of continuous-time open quantum walks”, with I. Bardet, H. Bringuier and C. Pellegrini in online! as arXiv:1803.03436.

The paper “Landauer’s principle for trajectories of repeated interaction systems”, with E. Hanson, A. Joye, R. Raquépas>, which is a continuation of a previous paper by the same authors about Landauer's principle for repeated interaction systems. This time, we discuss the formulation of Landauer's principle at the level of the statistics of two-time measurements (aka the full counting statistics). It improves greatly on the previous paper, both in its application and in the technical results we develop, in particular with a new and improved discrete non-unitary adiabatic theorem, and the spectral study of deformations of completely positive, trace-preserving maps.

The paper “invariant measure for quantum trajectories”, with T. Benoist, M. Fraas and C. Pellegrini, which shows the convergence in distribution of the state of a small system undergoing repeated indirect measurements, is (at last) on the arXiv, available here.

The paper “passage times, exit times and Dirichlet problems for open quantum walks”, with I. Bardet, D. Bernard, is accepted for publication in Journal of Statistical Physics.

The workshop “quantum trajectories, parameter and state estimation” organized by ANR StoQ will take place in Toulouse on January 23-25. The main event of the workshop will be a minicourse by Madalin Guta.

I was in Cambridge from December 11 to December 17 to work with my collaborators N. Datta, E. Hanson and C. Rouzé.

The paper “contractivity properties of a quantum diffusion semigroup”, with N. Datta and C. Rouzé, is accepted for publication in Journal of Mathematical Physics.

The paper “on entropy production of repeated quantum measurements I. General theory”, with T. Benoist, V. Jaksic and C.-A. Pillet, is accepted for publication in Communications in Mathematical Physics.

The second meeting of the MISTEQ project took place in Paris and Orsay on November 2 and 3. The full program is available here.