Speaker: Jianyuan Yin, research fellow, Department of Mathematics, National University of Singapore

Date: December 26, 2023

Time: 15:00-16:30

Location: Tencent Meeting: 191 845 947

Sponsor: School of Mathematics, Shandong University

Abstract:

Rotational Bose-Einstein condensates can exhibit quantized vortices as topological excitations. In this study, the ground and excited states of two-dimensional rotational Bose-Einstein condensates are systematically studied by calculating stationary points of the Gross-Pitaevskii energy functional with a constraint. A solution landscape is constructed using downward/upward search with constrained high-index saddle dynamics. Various excited states and their connections at different rotational frequencies are revealed with solution landscapes. Four excitation mechanisms are identified: vortex addition, rearrangement, merging, and splitting. We demonstrate changes in the ground state with increasing rotational frequencies and decipher the evolution of stability of ground states.

For more information, please visit:

https://www.view.sdu.edu.cn/info/1020/186709.htm