Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Statut Confirmé
Série LPTMS
Domaines physics
Date Mardi 22 Mai 2018
Heure 11:00
Institut LPTMS
Salle LPTMS, salle 201, 2ème étage, Bât 100, Campus d'Orsay
Nom de l'orateur Filoche
Prenom de l'orateur Marcel
Addresse email de l'orateur
Institution de l'orateur Laboratoire de Physique de la Matière Condensée, Ecole Polytechnique
Titre Localization landscape and localization potential in disordered or complex structures
Résumé Standing waves in disordered or complex systems can be subject to a strange and intriguing phenomenon which has puzzled the physics and mathematical communities for more than 60 years, namely wave localization. This phenomenon consists of a concentration (or a focusing) of the wave energy in a very restricted sub-region of the entire domain. It has been evidenced experimentally in mechanics, acoustics and quantum physics. Determining the conditions for the onset of localization, depending on the disorder amplitude, the energy, or the wave type, is the aim of many theoretical studies. We will present a theory that unifies different types of localization within a single mathematical framework [1]. To that end, we will introduce the notion of « localization landscape », solution to an associated Dirichlet problem. Going further, this will enable us to define an « effective localization potential », providing a new insight into the confinement of the waves in disordered media. This potential allows us to predict the localization region, the energies of the localized modes, the density of states, and the long range decay of the wave functions. We will present experimental and numerical examples of this theory in mechanics, in semiconductor physics, and in molecular systems, as well as theoretical perspectives with cold atom systems.
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