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Mini-workshop on "The mathematics of interacting quantum systems in a random environment"
Organizers: Eric Cancès (ENPC, Paris) & Frédéric Klopp (Paris 6)


Simone Warzel (Munich, Germany): "The first-order transition of the ground-state in the quantum random energy model"
Friday 14 June 2013, 09:30 - 10:15
Amphi Chaudron, Ecole Nationale Supérieure de Chimie, on the IHP campus


Abstract: The quantum random energy model or, as it is also known, the Anderson model on the hypercube, features in various contexts: from mathematical biology to quantum information theory as well as for an effective description of the localization-delocalization transition in many-particle models in condensed matter physics.  Among its interesting properties is a first-order phase transition of the ground state depending on the strength of the disorder. In this talk, we will describe a proof of this phase transition.