Some rigorous results for vortex patterns in Bose-Einstein condensates

Author(s):  
Amandine Aftalion
2018 ◽  
Vol 98 (2) ◽  
Author(s):  
Yongyong Cai ◽  
Yongjun Yuan ◽  
Matthias Rosenkranz ◽  
Han Pu ◽  
Weizhu Bao

Author(s):  
Lauro Tomio ◽  
Ramavarmaraja Kishor Kumar ◽  
Arnaldo Gammal

By considering symmetric- and asymmetric-dipolar coupled mixtures (with dysprosium and erbium isotopes), we report a study on relevant anisotropic effects, related to spatial separation and miscibility, due to dipole-dipole interactions (DDIs) in rotating binary dipolar Bose-Einstein condensates. The binary mixtures are kept in strong pancake-like traps, with repulsive two-body interactions modeled by an effective two-dimensional (2D) coupled Gross-Pitaevskii equation. The DDI are tuned from repulsive to attractive by varying the dipole polarization angle. A clear spatial separation is verified in the densities for attractive DDIs, being angular for symmetric mixtures and radial for asymmetric ones. Also relevant is the mass-imbalance sensibility observed by the vortex-patterns in symmetric- and asymmetric-dipolar mixtures. In an extension of this study, here we show how the rotational properties and spatial separation of these dipolar mixture are affected by a quartic term added to the harmonic trap of one of the components.


2002 ◽  
Vol 12 (5) ◽  
pp. 133-134 ◽  
Author(s):  
G. Delannoy ◽  
S. G. Murdoch ◽  
V. Boyer ◽  
V. Josse ◽  
P. Bouyer ◽  
...  
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