Geodesic
Bosons in Rapid Rotation: From the Quantum Many-Body Problem to Effective Equations
Yngvason, Jakob1 idref
1Faculty of Physics University of Vienna Boltzmanngasse 5 1090 Vienna Austria and Erwin Schrödinger Institute for Mathematical Physics Boltzmanngasse 9 1090 Vienna Austria
Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (2008-2009), Exposé no. 11, 12 p.
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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 analyzing the latter.

Yngvason, Jakob  1

1 Faculty of Physics University of Vienna Boltzmanngasse 5 1090 Vienna Austria and Erwin Schrödinger Institute for Mathematical Physics Boltzmanngasse 9 1090 Vienna Austria 
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     title = {Bosons in {Rapid} {Rotation:} {From} the {Quantum} {Many-Body} {Problem} to {Effective} {Equations}},
     journal = {S\'eminaire \'Equations aux d\'eriv\'ees partielles (Polytechnique) dit aussi "S\'eminaire Goulaouic-Schwartz"},
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     pages = {1--12},
     year = {2008-2009},
     publisher = {Centre de math\'ematiques Laurent Schwartz, \'Ecole polytechnique},
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Yngvason, Jakob. Bosons in Rapid Rotation: From the Quantum Many-Body Problem to Effective Equations. Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (2008-2009), Exposé no. 11, 12 p.. http://geodesic.mathdoc.fr/item/SEDP_2008-2009____A11_0/