Vortices in Bose-Einstein condensates with dominant dipolar interactions
We present full three-dimensional numerical calculations of single vortex states in rotating dipolar condensates. We consider a Bose-Einstein condensate of C 52 r atoms with dipole-dipole and s -wave contact interactions confined in an axially symmetric harmonic trap. We obtain the vortex states by...
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Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v79_n6_p_Abad http://hdl.handle.net/20.500.12110/paper_10502947_v79_n6_p_Abad |
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paper:paper_10502947_v79_n6_p_Abad2025-07-30T18:38:28Z Vortices in Bose-Einstein condensates with dominant dipolar interactions Jezek, Dora Marta Axially symmetric Bose-Einstein condensates Contact interaction Dipolar interaction Dipole-dipole Exact solution Gross-Pitaevskii equation Harmonic trap Rotating frame Rotating trap Rotation axis S-wave scattering lengths Single vortices Three-dimensional numerical calculations Variational approaches Vortex displacements Vortex state Angular velocity Bose-Einstein condensation Electromagnetic wave scattering Rotation Shear waves Steam condensers Vortex flow We present full three-dimensional numerical calculations of single vortex states in rotating dipolar condensates. We consider a Bose-Einstein condensate of C 52 r atoms with dipole-dipole and s -wave contact interactions confined in an axially symmetric harmonic trap. We obtain the vortex states by numerically solving the Gross-Pitaevskii equation in the rotating frame with no further approximations. We investigate the properties of a single vortex and calculate the critical angular velocity for different values of the s -wave scattering length. We show that, whereas the standard variational approach breaks down in the limit of pure dipolar interactions, exact solutions of the Gross-Pitaevskii equation can be obtained for values of the s -wave scattering length down to zero. The energy barrier for the nucleation of a vortex is calculated as a function of the vortex displacement from the rotation axis for different values of the angular velocity of the rotating trap. © 2009 The American Physical Society. Fil:Jezek, D.M. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2009 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v79_n6_p_Abad http://hdl.handle.net/20.500.12110/paper_10502947_v79_n6_p_Abad |
institution |
Universidad de Buenos Aires |
institution_str |
I-28 |
repository_str |
R-134 |
collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
topic |
Axially symmetric Bose-Einstein condensates Contact interaction Dipolar interaction Dipole-dipole Exact solution Gross-Pitaevskii equation Harmonic trap Rotating frame Rotating trap Rotation axis S-wave scattering lengths Single vortices Three-dimensional numerical calculations Variational approaches Vortex displacements Vortex state Angular velocity Bose-Einstein condensation Electromagnetic wave scattering Rotation Shear waves Steam condensers Vortex flow |
spellingShingle |
Axially symmetric Bose-Einstein condensates Contact interaction Dipolar interaction Dipole-dipole Exact solution Gross-Pitaevskii equation Harmonic trap Rotating frame Rotating trap Rotation axis S-wave scattering lengths Single vortices Three-dimensional numerical calculations Variational approaches Vortex displacements Vortex state Angular velocity Bose-Einstein condensation Electromagnetic wave scattering Rotation Shear waves Steam condensers Vortex flow Jezek, Dora Marta Vortices in Bose-Einstein condensates with dominant dipolar interactions |
topic_facet |
Axially symmetric Bose-Einstein condensates Contact interaction Dipolar interaction Dipole-dipole Exact solution Gross-Pitaevskii equation Harmonic trap Rotating frame Rotating trap Rotation axis S-wave scattering lengths Single vortices Three-dimensional numerical calculations Variational approaches Vortex displacements Vortex state Angular velocity Bose-Einstein condensation Electromagnetic wave scattering Rotation Shear waves Steam condensers Vortex flow |
description |
We present full three-dimensional numerical calculations of single vortex states in rotating dipolar condensates. We consider a Bose-Einstein condensate of C 52 r atoms with dipole-dipole and s -wave contact interactions confined in an axially symmetric harmonic trap. We obtain the vortex states by numerically solving the Gross-Pitaevskii equation in the rotating frame with no further approximations. We investigate the properties of a single vortex and calculate the critical angular velocity for different values of the s -wave scattering length. We show that, whereas the standard variational approach breaks down in the limit of pure dipolar interactions, exact solutions of the Gross-Pitaevskii equation can be obtained for values of the s -wave scattering length down to zero. The energy barrier for the nucleation of a vortex is calculated as a function of the vortex displacement from the rotation axis for different values of the angular velocity of the rotating trap. © 2009 The American Physical Society. |
author |
Jezek, Dora Marta |
author_facet |
Jezek, Dora Marta |
author_sort |
Jezek, Dora Marta |
title |
Vortices in Bose-Einstein condensates with dominant dipolar interactions |
title_short |
Vortices in Bose-Einstein condensates with dominant dipolar interactions |
title_full |
Vortices in Bose-Einstein condensates with dominant dipolar interactions |
title_fullStr |
Vortices in Bose-Einstein condensates with dominant dipolar interactions |
title_full_unstemmed |
Vortices in Bose-Einstein condensates with dominant dipolar interactions |
title_sort |
vortices in bose-einstein condensates with dominant dipolar interactions |
publishDate |
2009 |
url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v79_n6_p_Abad http://hdl.handle.net/20.500.12110/paper_10502947_v79_n6_p_Abad |
work_keys_str_mv |
AT jezekdoramarta vorticesinboseeinsteincondensateswithdominantdipolarinteractions |
_version_ |
1840328266182819840 |