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math.AP2018
Classical field theory limit of many-body quantum Gibbs states in 2D and 3D
Mathieu Lewin, Phan Thành Nam, Nicolas Rougerie
We provide a rigorous derivation of nonlinear Gibbs measures in two and three space dimensions, starting from many-body quantum systems in thermal equilibrium. More precisely, we p…
math.AP2018
Blow-up profile of rotating 2D focusing Bose gases
Mathieu Lewin, Phan Thành Nam, Nicolas Rougerie
We consider the Gross-Pitaevskii equation describing an attractive Bose gas trapped to a quasi 2D layer by means of a purely harmonic potential, and which rotates at a fixed speed…