We numerically study the three dimensional Gross-Pitaevskii equation for dipolar quantum gases using a time-splitting algorithm. We are mainly concerned with numerical investigations of the possible blow-up of solutions, i.e. collapse of the condensate, and the dynamics of vortices.
Bibliographical noteKAUST Repository Item: Exported on 2020-04-23
Acknowledged KAUST grant number(s): KUK-I1-007-43
Acknowledgements: This publication is based on work supported by Award No. KUK-I1-007-43, funded by the King Abdullah University of Science and Technology (KAUST). Partially support by the Austrian-Chinese Technical-Scientific Cooperation Agreement, NSAF Project 10676017, NSFC Project 10971116, Tsinghua University Initiative Scientific Research Program, and the National Basic Research Program of China (Grant No. 2005CB321701) is also acknowledged. C.S. has been supported by his Royal Society University Research fellowship.
This publication acknowledges KAUST support, but has no KAUST affiliated authors.