Bosons in Rapid Rotation: From the Quantum Many-Body Problem to Effective Equations
Jakob Yngvason (2008-2009)
Séminaire Équations aux dérivées partielles
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One of the most interesting phenomena exhibited by ultracold quantum gases is the appearance of vortices when the gas is put in rotation. The talk will bring a survey of some recent progress in understanding this phenomenon starting from the many-body ground state of a Bose gas with short range interactions. Mathematically this amounts to describing solutions of a linear Schrödinger equation with a very large number of variables in terms of a nonlinear equation with few variables and...