Finite number of vortices and bending of finite vortex lines in a
confined rotating Bose-Einstein condensate |
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Authors: | Z Z Chen Y L Ma |
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Institution: | (1) Department of Physics, Fudan University, Shanghai, 200433, P.R. China |
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Abstract: | The minimal energy configurations of finite Nv-body vortices in a
rotating trapped Bose-Einstein condensate is studied analytically by
extending the previous work Y. Castin, R. Dum, Eur. Phys. J.
D 7, 399 (1999)], and taking into account the finite
size effects on z-direction and the bending of finite vortex lines. The
calculation of the energy of the vortices as a function of the rotation
frequency of the trap gives number, curvature, configuration of vortices and
width of vortex cores self-consistently. The numerical results show that (1)
the simplest regular polynomial of the several vortex configurations is
energetically favored; while the hexagonal vortex lattice is more stable
than square lattice; (2) bending is more stable then straight vortex line
along the z-axis for λ<1; (3) the boundary effect is obvious:
compared with the estimation made under infinite boundary, the finite size
effect leads to a lower vortex density, while the adding vortex bending
results in a less higher density because of the expansion. The results are
in well agreement with the other authors' ones. |
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Keywords: | 03 75 Lm Tunneling Josephson effect Bose-Einstein condensates in periodic potentials solitons vortices and topological excitations 32 80 Pj Optical cooling of atoms trapping |
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