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Volume 8, Issue 2
Numerical Study of Vortex Interactions in Bose-Einstein Condensation

Yanzhi Zhang

DOI: 10.4208/cicp.2009.09.104

Commun. Comput. Phys., 8 (2010), pp. 327-350.

Published online: 2010-08

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  • Abstract

The dynamics and interaction of quantized vortices in Bose-Einstein condensates (BECs) are investigated by using the two-dimensional Gross-Pitaevskii equation (GPE) with/without an angular momentum rotation term. If all vortices have the same winding number, they would rotate around the trap center but never collide. In contrast, if the winding numbers are different, their interaction highly depends on the initial distance between vortex centers. The analytical results are presented to describe the dynamics of the vortex centers when β=0. While if β≠0, there is no analytical result but some conclusive numerical findings are provided for the further understanding of vortex interaction in BECs. Finally, the dynamic laws describing the relation of vortex interaction in nonrotating and rotating BECs are presented.

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@Article{CiCP-8-327, author = {Yanzhi Zhang}, title = {Numerical Study of Vortex Interactions in Bose-Einstein Condensation}, journal = {Communications in Computational Physics}, year = {2010}, volume = {8}, number = {2}, pages = {327--350}, abstract = {

The dynamics and interaction of quantized vortices in Bose-Einstein condensates (BECs) are investigated by using the two-dimensional Gross-Pitaevskii equation (GPE) with/without an angular momentum rotation term. If all vortices have the same winding number, they would rotate around the trap center but never collide. In contrast, if the winding numbers are different, their interaction highly depends on the initial distance between vortex centers. The analytical results are presented to describe the dynamics of the vortex centers when β=0. While if β≠0, there is no analytical result but some conclusive numerical findings are provided for the further understanding of vortex interaction in BECs. Finally, the dynamic laws describing the relation of vortex interaction in nonrotating and rotating BECs are presented.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.2009.09.104}, url = {http://global-sci.org/intro/article_detail/cicp/7575.html} }
TY - JOUR T1 - Numerical Study of Vortex Interactions in Bose-Einstein Condensation AU - Yanzhi Zhang JO - Communications in Computational Physics VL - 2 SP - 327 EP - 350 PY - 2010 DA - 2010/08 SN - 8 DO - http://doi.org/10.4208/cicp.2009.09.104 UR - https://global-sci.org/intro/article_detail/cicp/7575.html KW - AB -

The dynamics and interaction of quantized vortices in Bose-Einstein condensates (BECs) are investigated by using the two-dimensional Gross-Pitaevskii equation (GPE) with/without an angular momentum rotation term. If all vortices have the same winding number, they would rotate around the trap center but never collide. In contrast, if the winding numbers are different, their interaction highly depends on the initial distance between vortex centers. The analytical results are presented to describe the dynamics of the vortex centers when β=0. While if β≠0, there is no analytical result but some conclusive numerical findings are provided for the further understanding of vortex interaction in BECs. Finally, the dynamic laws describing the relation of vortex interaction in nonrotating and rotating BECs are presented.

Yanzhi Zhang. (2010). Numerical Study of Vortex Interactions in Bose-Einstein Condensation. Communications in Computational Physics. 8 (2). 327-350. doi:10.4208/cicp.2009.09.104
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