Abstract

We numerically study the three dimensional Gross-Pitaevskii equationfor dipolar quantum gases using a time-splitting algorithm. We aremainly concerned with numerical investigations of the possibleblow-up of solutions, i.e. collapse of the condensate, and thedynamics of vortices.

Highlights

  • Lots of progress has been made in understanding the physics of ultracold quantum particles on the experimental as well as on the theoretical level

  • The experimental groundwork has been laid for the experimental realization of Bose-Einstein condensate (BEC) where magnetic/electric dipolar interaction between particles are significant [22, 16]

  • In this paper we present a numerical study of dipolar quantum gases, within the realm of Gross-Pitaevskii theory

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Summary

Introduction

Lots of progress has been made in understanding the physics of ultracold quantum particles on the experimental as well as on the theoretical level. The experimental groundwork has been laid for the experimental realization of BECs where magnetic/electric dipolar interaction between particles are significant [22, 16]. In such condensates two types of interactions occur.

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