Dipolar condensates confined in a toroidal trap: Ground state and vortices
We study a Bose-Einstein condensate of Cr52 atoms confined in a toroidal trap with a variable strength of s-wave contact interactions. We analyze the effects of the anisotropic nature of the dipolar interaction by considering the magnetization axis to be perpendicular to the trap symmetry axis. In t...
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Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_10502947_v81_n4_p_Abad |
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todo:paper_10502947_v81_n4_p_Abad2023-10-03T16:00:04Z Dipolar condensates confined in a toroidal trap: Ground state and vortices Abad, M. Guilleumas, M. Mayol, R. Pi, M. Jezek, D.M. Azimuthal dependence Bose-Einstein condensates Contact interaction Dipolar interaction Expectation values Gaussians Magnetization axis Magnetization direction Pancake-shaped condensate Particle densities Radial distance Scattering length Stationary vortex Symmetry-breaking Toroidal trap Trap symmetries Velocity field Z-directions Statistical mechanics Steam condensers Vortex flow Scattering We study a Bose-Einstein condensate of Cr52 atoms confined in a toroidal trap with a variable strength of s-wave contact interactions. We analyze the effects of the anisotropic nature of the dipolar interaction by considering the magnetization axis to be perpendicular to the trap symmetry axis. In the absence of a central repulsive barrier, when the trap is purely harmonic, the effect of reducing the scattering length is a tuning of the geometry of the system from a pancake-shaped condensate when it is large to a cigar-shaped condensate for small scattering lengths. For a condensate in a toroidal trap, the interaction in combination with the central repulsive Gaussian barrier produces an azimuthal dependence of the particle density for a fixed radial distance. We find that along the magnetization direction the density decreases as the scattering length is reduced but presents two symmetric density peaks in the perpendicular axis. For even lower values of the scattering length we observe that the system undergoes a dipolar-induced symmetry breaking phenomenon. The whole density becomes concentrated in one of the peaks, resembling an origin-displaced cigar-shaped condensate. In this context we also analyze stationary vortex states and their associated velocity fields, finding that these also show a strong azimuthal dependence for small scattering lengths. The expectation value of the angular momentum along the z direction provides a qualitative measure of the difference between the velocity in the different density peaks. © 2010 The American Physical Society. Fil:Jezek, D.M. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_10502947_v81_n4_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 |
Azimuthal dependence Bose-Einstein condensates Contact interaction Dipolar interaction Expectation values Gaussians Magnetization axis Magnetization direction Pancake-shaped condensate Particle densities Radial distance Scattering length Stationary vortex Symmetry-breaking Toroidal trap Trap symmetries Velocity field Z-directions Statistical mechanics Steam condensers Vortex flow Scattering |
spellingShingle |
Azimuthal dependence Bose-Einstein condensates Contact interaction Dipolar interaction Expectation values Gaussians Magnetization axis Magnetization direction Pancake-shaped condensate Particle densities Radial distance Scattering length Stationary vortex Symmetry-breaking Toroidal trap Trap symmetries Velocity field Z-directions Statistical mechanics Steam condensers Vortex flow Scattering Abad, M. Guilleumas, M. Mayol, R. Pi, M. Jezek, D.M. Dipolar condensates confined in a toroidal trap: Ground state and vortices |
topic_facet |
Azimuthal dependence Bose-Einstein condensates Contact interaction Dipolar interaction Expectation values Gaussians Magnetization axis Magnetization direction Pancake-shaped condensate Particle densities Radial distance Scattering length Stationary vortex Symmetry-breaking Toroidal trap Trap symmetries Velocity field Z-directions Statistical mechanics Steam condensers Vortex flow Scattering |
description |
We study a Bose-Einstein condensate of Cr52 atoms confined in a toroidal trap with a variable strength of s-wave contact interactions. We analyze the effects of the anisotropic nature of the dipolar interaction by considering the magnetization axis to be perpendicular to the trap symmetry axis. In the absence of a central repulsive barrier, when the trap is purely harmonic, the effect of reducing the scattering length is a tuning of the geometry of the system from a pancake-shaped condensate when it is large to a cigar-shaped condensate for small scattering lengths. For a condensate in a toroidal trap, the interaction in combination with the central repulsive Gaussian barrier produces an azimuthal dependence of the particle density for a fixed radial distance. We find that along the magnetization direction the density decreases as the scattering length is reduced but presents two symmetric density peaks in the perpendicular axis. For even lower values of the scattering length we observe that the system undergoes a dipolar-induced symmetry breaking phenomenon. The whole density becomes concentrated in one of the peaks, resembling an origin-displaced cigar-shaped condensate. In this context we also analyze stationary vortex states and their associated velocity fields, finding that these also show a strong azimuthal dependence for small scattering lengths. The expectation value of the angular momentum along the z direction provides a qualitative measure of the difference between the velocity in the different density peaks. © 2010 The American Physical Society. |
format |
JOUR |
author |
Abad, M. Guilleumas, M. Mayol, R. Pi, M. Jezek, D.M. |
author_facet |
Abad, M. Guilleumas, M. Mayol, R. Pi, M. Jezek, D.M. |
author_sort |
Abad, M. |
title |
Dipolar condensates confined in a toroidal trap: Ground state and vortices |
title_short |
Dipolar condensates confined in a toroidal trap: Ground state and vortices |
title_full |
Dipolar condensates confined in a toroidal trap: Ground state and vortices |
title_fullStr |
Dipolar condensates confined in a toroidal trap: Ground state and vortices |
title_full_unstemmed |
Dipolar condensates confined in a toroidal trap: Ground state and vortices |
title_sort |
dipolar condensates confined in a toroidal trap: ground state and vortices |
url |
http://hdl.handle.net/20.500.12110/paper_10502947_v81_n4_p_Abad |
work_keys_str_mv |
AT abadm dipolarcondensatesconfinedinatoroidaltrapgroundstateandvortices AT guilleumasm dipolarcondensatesconfinedinatoroidaltrapgroundstateandvortices AT mayolr dipolarcondensatesconfinedinatoroidaltrapgroundstateandvortices AT pim dipolarcondensatesconfinedinatoroidaltrapgroundstateandvortices AT jezekdm dipolarcondensatesconfinedinatoroidaltrapgroundstateandvortices |
_version_ |
1782030096899506176 |