title: Numerical study of the spherically symmetric gross-pitaevskii equation in two space dimensions
abstract: We present a numerical study of the time-dependent and time-independent Gross-Pitaevskii (GP) equation in two space dimensions, which describes the Bose-Einstein condensate of trapped bosons at ultralow temperature with both attractive and repulsive interatomic interactions. Both time-dependent and time-independent GP equations are used to study the stationary problems. In addition the time-dependent approach is used to study some evolution problems of the condensate. Specifically, we study the evolution problem where the trap energy is suddenly changed in a stable preformed condensate. In this case the system oscillates with increasing amplitude and does not remain limited between two stable configurations. Good convergence is obtained in all cases studied.
authors.affiliation: Instituto de Fisica Teorica, Universidade Estadual Paulista, 01. 405-900 Sao Paulo, Sao Paulo, Brazil.
authors.initials: SK
authors.lastname: Adhikari