Title：Mathematical theory and numerical methods for Bose-Einstein condensation
Time：2019年5月21日 下午 16:00-17:00
Abstract：Gross-Pitaevskii equation (GPE), also known as the nonlinear Schroedinger equation (NLSE), is a widely used model in different subjects, such as quantum mechanics, condensed matter physics, nonlinear optics etc. In this talk, we will focus on GPE with applications in Bose-Einstein condensation (BEC). In the talk, I will first review properties of BEC and GPE. After that, we focus on the GPE with dipole-dipole interaction modeling degenerate dipolar quantum gas. The two important issues in the study of BEC, the ground states and the dynamics, will be discussed. Then we will talk about Bogoliubov excitations. Both mathematical results and numerical studies will be presented.