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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)


Nicolas Rougerie (Grenoble, France): "Mean-field bosonic systems and the quantum de Finetti theorem"
Tuesday 18 June 2013, 14:30 - 15:15
Amphi Hermite


I will discuss a general strategy to derive Hartree's theory for the ground state of a generic interacting many-bosons system with mean-field scaling. The validity of the mean-field approximation is interpreted as a consequence of the structure of the set of bosonic density matrices with large number of particles, in particular of the so-called quantum de Finetti theorem. The approach is general and applies for example to famous examples such as the trapped Bose gas, bosonic atoms and boson stars.

Joint work with Mathieu Lewin and Phan Thành Nam.