Numerical simulation of trapped dipolarquantum gases: Collapse studies and vortex dynamics

Zhongyi Huang; Peter A. Markowich; Christof Sparber

doi:10.3934/krm.2010.3.181

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2010, Volume 3, Issue 1: 181-194. Doi: 10.3934/krm.2010.3.181

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

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

Received: October 31, 2009

Revised: November 30, 2009

Published: February 2010

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Abstract

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.

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Mathematics Subject Classification: Primary: 81Q99, 65M99; Secondary: 65Z05.

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