Hannover 2020 – scientific programme
The DPG Spring Meeting in Hannover had to be cancelled! Read more ...
Parts | Days | Selection | Search | Updates | Downloads | Help
Q: Fachverband Quantenoptik und Photonik
Q 25: Quantum gases (Bosons) IV
Q 25.7: Talk
Wednesday, March 11, 2020, 12:30–12:45, e214
Bose Gases on Spheres and Ellipsoids — •Natália Móller1, Ednilson Santos2, Vanderlei Bagnato3, and Axel Pelster1 — 1Physics Department and Research Center OPTIMAS, Technische Universität Kaiserslautern, Germany — 2Departamento de Fisica, Universidade Federal de Sao Carlos, Brazil — 3Instituto de Fisica de Sao Carlos, Universidade de Sao Paulo, Brazil
Due to the prospect of experimentally realizing a Bose-Einstein condensate in a bubble-trap [1], we are interested in studying the behavior of a Bose gas on the surface of a curved manifold. The simplest geometric form approximately describing this type of trap is a spherical one, which has gained much attention in the literature and for which we have computed the low-lying excitation modes [2]. To this end we have performed a dimensional reduction of the 3D Gross-Pitaevskii (GP) equation, leading to an effective two-dimensional GP equation for the condensate wave function on the sphere and a separated equation determining the radial width, which have to be solved self-consistently. However, a more appropriate manifold to describe a bubble trap is an ellipsoid. For this case, the two-dimensional GP equation turns out to have an effective potential which results in a non-uniform ground state along the surface together with an angle-dependent width.
[1] N. Lundblad, R. A. Carollo, C. Lannert, M. J. Gold, X. Jiang, D. Paseltiner, N. Sergay, and D. C. Aveline, arXiv:1906.05885.
[2] N. S. Móller, F. E. A. dos Santos, V. S. Bagnato, and A. Pelster, in preparation.