Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Statut Confirmé
Domaines cond-mat.stat-mech
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 out-of-equilibrium many-body quantum systems?
Résumé In general, the difficulty to characterise non-equilibrium systems lies in the fact that there is no analogue of the Boltzmann-distribution to describe thermodynamic variables and their fluctuations. Over the last 20 years, however, it was observed that there is a class of classical non-equilibrium 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 out-of-equilibrium systems. With this aim in mind, I will introduce the Quantum Simple Symmetric Exclusion Process (Q-SSEP), 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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