Statut  Confirmé 
Série  FORUMENS 
Domaines  condmat.statmech 
Date  Mercredi 6 Avril 2022 
Heure  14:30 
Institut  LPENS 
Salle  Salle Djebar (29 rue d'Ulm) 
Nom de l'orateur  Hruza 
Prenom de l'orateur  Ludwig 
Addresse email de l'orateur  
Institution de l'orateur  LPENS 
Titre  The Quantum Simple Symmetric Exclusion Process: How to characterise fluctuations in diffusive outofequilibrium manybody quantum systems? 
Résumé  In general, the difficulty to characterise nonequilibrium systems lies in the fact that there is no analogue of the Boltzmanndistribution to describe thermodynamic variables and their fluctuations. Over the last 20 years, however, it was observed that there is a class of classical nonequilibrium systems with diffusive transport in which the statistics of particle density and particle current show universal properties that do not depend on the microscopic details of the model. The general framework to characterise these systems from a macroscopic point of view is today called the “Macroscopic Fluctuation Theory”. A natural question is whether this framework can be extended to quantum mechanics to describe the statistics of purely quantum mechanical effects such as entanglement in diffusive outofequilibrium systems. With this aim in mind, I will introduce the Quantum Simple Symmetric Exclusion Process (QSSEP), a microscopic toy model, from which we hope to gain inside in possible universal features of these quantum mechanical effects. I will present the results obtained so far and comment shortly on the recent observation that free cumulants, a tool from free probability theory, seems to play a role in the mathematical structure of the model. 
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