Friday, December 4, 2020, 2:30pm
Nonlinear eigenvector problems and the simulation of Bose-Einstein condensates
Prof. Daniel Peterseim (Universität Augsburg)
tationary states of Bose-Einstein condensates can be modeled by an eigenvalue problem for a nonlinear partial differential operator (Gross-Pitaevskii, non-linear Schrödinger). The talk reviews the numerical approximation of this so-called nonlinear eigenvector problem by discrete gradient flows and generalizations of the inverse power method. Numerical analysis (theory) and a series of numerical experiments show the reliability and computational efficiency of the methods and demonstrate their ability to capture interesting physical effects such as localized states of the condensate under disorder potentials or the formation of vortex lattices in fast rotating potential traps. The talk is completed by an outlook to the simulation of dynamical phenomena.
Die Vorträge finden aufgrund der Corona-Pandemie in diesem Semester über Zoom statt.
ID 960 2006 2748