scholarly journals VORTEX NUCLEATION IN ROTATING BOSE–EINSTEIN CONDENSATE: THE ROLE OF THE BOUNDARY CONDITION FOR THE ORDER PARAMETER

2006 ◽  
Vol 20 (15) ◽  
pp. 2147-2158
Author(s):  
W. V. POGOSOV ◽  
K. MACHIDA

We study the problem of vortex nucleation in rotating two-dimensional Bose–Einstein condensate confined in a harmonic trap. We show that, within the Gross–Pitaevskii theory with the boundary condition of vanishing of the order parameter at infinity, topological defects nucleation occurs via the creation of vortex-antivortex pairs far from the cloud center, where the modulus of the order parameter is small. Then vortices move toward the center of the cloud and antivortices move in the opposite direction but never disappear. We also discuss the role of surface modes.

Science ◽  
2019 ◽  
Vol 364 (6447) ◽  
pp. 1264-1267 ◽  
Author(s):  
Guillaume Gauthier ◽  
Matthew T. Reeves ◽  
Xiaoquan Yu ◽  
Ashton S. Bradley ◽  
Mark A. Baker ◽  
...  

Adding energy to a system through transient stirring usually leads to more disorder. In contrast, point-like vortices in a bounded two-dimensional fluid are predicted to reorder above a certain energy, forming persistent vortex clusters. In this study, we experimentally realize these vortex clusters in a planar superfluid: a 87Rb Bose-Einstein condensate confined to an elliptical geometry. We demonstrate that the clusters persist for long time periods, maintaining the superfluid system in a high-energy state far from global equilibrium. Our experiments explore a regime of vortex matter at negative absolute temperatures and have relevance for the dynamics of topological defects, two-dimensional turbulence, and systems such as helium films, nonlinear optical materials, fermion superfluids, and quark-gluon plasmas.


2003 ◽  
Vol 5 (2) ◽  
pp. S155-S163 ◽  
Author(s):  
Yves Colombe ◽  
Demascoth Kadio ◽  
Maxim Olshanii ◽  
Brigitte Mercier ◽  
Vincent Lorent ◽  
...  

2014 ◽  
Vol 90 (4) ◽  
Author(s):  
Shachar Klaiman ◽  
Axel U. J. Lode ◽  
Alexej I. Streltsov ◽  
Lorenz S. Cederbaum ◽  
Ofir E. Alon

2004 ◽  
Vol 18 (27n29) ◽  
pp. 3797-3802 ◽  
Author(s):  
S.-R. ERIC YANG ◽  
Q-HAN PARK ◽  
J. YEO

We have studied theoretically the Bose-Einstein condensation (BEC) of two-dimensional excitons in a ring with a random variation of the effective exciton potential along the circumference. We derive a nonlinear Gross-Pitaevkii equation (GPE) for such a condensate, which is valid even in the presence of a weak magnetic field. For several types of the random potentials our numerical solution of the ground state of the GPE displays a necklace-like structure. This is a consequence of the interplay between the random potential and a strong nonlinear repulsive term of the GPE. We have investigated how the mean distance between modulation peaks depends on properties of the random potentials.


2001 ◽  
Vol 87 (21) ◽  
Author(s):  
C. Raman ◽  
J. R. Abo-Shaeer ◽  
J. M. Vogels ◽  
K. Xu ◽  
W. Ketterle

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