Numerical simulation of trapped dipolar quantum gases: Collapse studies and vortex dynamics

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March 2010, 3(1): 181-194. doi: 10.3934/krm.2010.3.181

Numerical simulation of trapped dipolar quantum gases: Collapse studies and vortex dynamics

Zhongyi Huang ^1, , Peter A. Markowich ^2, and Christof Sparber ^2,

1.	Dept. of Mathematical Sciences, Tsinghua University, Beijing 100084
2.	Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, United Kingdom

Received November 2009 Revised December 2009 Published January 2010

Abstract
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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.

Keywords: Bose-Einstein condensates, time-splitting spectral method., dipolar interactions.

Mathematics Subject Classification: Primary: 81Q99, 65M99; Secondary: 65Z0.

Citation: Zhongyi Huang, Peter A. Markowich, Christof Sparber. Numerical simulation of trapped dipolar quantum gases: Collapse studies and vortex dynamics. Kinetic & Related Models, 2010, 3 (1) : 181-194. doi: 10.3934/krm.2010.3.181

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