Séminaire: Problèmes Spectraux en Physique Mathématique


Année 2016-2017



Les séminaires auront lieu à l' Institut Henri Poincaré, habituellement en salle 314.
Le séminaire est financé par le GDR "Dynamique quantique" du CNRS.

Pour tout renseignement complémentaire, veuillez contacter les organisateurs, Hakim Boumaza, Mathieu Lewin ou Stéphane Nonnenmacher.

Prochain séminaire le lundi 19 juin 2017 en salle 314 (3e étage)
Affiche en pdf

 11h15 - 12h15 André Martinez (Bologne)
Resonances and molecular dynamics near an energy level crossing

Abstract:

We study the location and the width of the resonances of a
semiclassical 2x2 system of interacting 1d Schrödinger operators, near an energy level where the two potentials cross. One of the potentials is supposed to be bonding, and the other one anti-bonding. Then, we describe the asymptotic behaviour (both semiclassical and at large times) of the survival amplitude of the corresponding bound state.

This talk is based on joint works with Ph. Briet, S. Fujiié, and T. Watanabe.

Déjeuner
14h - 15h Günter Stolz (U.of Alabama, Birmingham)
Many-body localization of the droplet spectrum in the random XXZ spin chain

Abstract:
We report on joint work with A. Elgart and A. Klein in which we provide the first rigorous results on many-body localization for the XXZ quantum spin chain in random field. In the Ising phase of the model, we prove a strong form of exponential clustering (i.e. exponential decay of correlations of local observables) for eigenstates in the droplet spectrum, both for the large disorder regime as well as for a strong Ising phase at fixed disorder. We will also discuss other MBL properties which hold in these regimes, such as a zero-velocity Lieb-Robinson bound on many-body transport, as well as a uniform area law for the entanglement of eigenstates.
15h15 - 16h15 Nicolas Raymond (Rennes)
Semiclassical Robin Laplacians: Miscellaneous of linear and nonlinear results

Abstract:
In this talk, I will describe recent results related to the semiclassical Robin Laplacians: Weyl asymptotics, tunneling effect and electro-magnetic Sobolev embeddings.



Prochaines dates prévues:

octobre 2017

Informations pratiques: Plan d'accès à l'IHP.

Historique du séminaire:

Année 2016-2017
Année 2015-2016
Année 2014-2015
Année 2013-2014
Année 2012-2013
Année 2011-2012
Année 2010-2011
Année 2009-2010
Année 2008-2009
Année 2007-2008
Année 2006-2007
Année 2005-2006

Dernière mise à jour: 4 mai 2016
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