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1D Gross-Pitaevskii equation for strongly confined 3D bosons

Date: Thursday, November 15, 2018 16:00 - 18:00
Speaker: Lea Bossmann (Universität Tübingen)
Location: Big Seminar room Ground floor / Office Bldg West (I21.EG.101)
Series: Mathematics and CS Seminar
Host: Robert Seiringer
Contact: WHEATLEY Susanne
Lab building west seminar room

We consider the dynamics of N bosons initially in a Bose-Einstein condensate which are in two dimensions confined by an external trapping potential. The bosons interact with each other via a non-negative interaction potential in the Gross-Pitaevskii scaling regime. We prove that in the simultaneous limit where N goes to infinity and the size of the trap shrinks to zero, the condensation is preserved by the dynamics and the time evolution is asymptotically described by a Gross-Pitaevskii equation in one dimension. Joint work with Stefan Teufel.
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