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Conference on "Mathematical properties of large quantum systems"
Organizers: Maria J. Esteban (CNRS), Mathieu Lewin (CNRS), Robert Seiringer (McGill, Montréal) & Jan Philip Solovej (Copenhagen)


Manoussos Grillakis (Univ. Maryland, USA): "The role of pair excitations in the evolution of condensates"
Tuesday 18 June 2013, 16:50 - 17:35
Amphi Hermite


(Joint work with M. Machedon and D. Margetis) In the present talk I would like to consider the evolution of N indistinguishable quantum particles (Bosons) under binary interactions, for N large but finite. We are interested is certain aspects of the evolution, namely we start with initial data an (approximately) factorized state. The evolution does not preserve this type of state and we consider pair excitations as an effective (second order) correction. We derive a coupled system in a manner which is consistent with the N-body dynamics and compare the exact with the approximate dynamics.