18. September 2019
MATHEMATICAL AND THEORETICAL PHYSICS SEMINAR
Location: Jacobs University, Bremen, Seminar Room Research III
When: 18.09.2019 13:00 - 14:00 h
Speaker: Lea Boßmann (University of Tübingen)
Title: Derivation of 1D/2D Gross-Pitaevskii equations for strongly confined 3D bosons
Abstract: We study the dynamics of a system of N interacting bosons in a cigar- or disc-shaped trap, which initially exhibit Bose-Einstein condensation and interact via a non-negative interaction potential in the Gross-Pitaevskii scaling regime. The trap is realized by an external potential, which confines the bosons in two/one spatial dimensions to a region of order ε. We study the simultaneous limit (N,ε) → (∞,0) and show that the N-body dynamics preserve condensation. The time-evolved condensate wave function is the solution of a 1D/2D Gross-Pitaevskii equation. Joint work with Stefan Teufel.
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