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.
@article{SEDP_2008-2009____A11_0,
author = {Yngvason, Jakob},
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"},
note = {talk:11},
pages = {1--12},
publisher = {Centre de math\'ematiques Laurent Schwartz, \'Ecole polytechnique},
year = {2008-2009},
language = {en},
url = {http://www.numdam.org/item/SEDP_2008-2009____A11_0/}
}
TY - JOUR AU - Yngvason, Jakob TI - Bosons in Rapid Rotation: From the Quantum Many-Body Problem to Effective Equations JO - Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" N1 - talk:11 PY - 2008-2009 SP - 1 EP - 12 PB - Centre de mathématiques Laurent Schwartz, École polytechnique UR - http://www.numdam.org/item/SEDP_2008-2009____A11_0/ LA - en ID - SEDP_2008-2009____A11_0 ER -
%0 Journal Article %A Yngvason, Jakob %T Bosons in Rapid Rotation: From the Quantum Many-Body Problem to Effective Equations %J Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" %Z talk:11 %D 2008-2009 %P 1-12 %I Centre de mathématiques Laurent Schwartz, École polytechnique %U http://www.numdam.org/item/SEDP_2008-2009____A11_0/ %G en %F SEDP_2008-2009____A11_0
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://www.numdam.org/item/SEDP_2008-2009____A11_0/
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