Vortex-lattice in a uniform Bose-Einstein condensate in a box trap
Autor(a) principal: | |
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Data de Publicação: | 2019 |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1088/1361-648X/ab14c5 http://hdl.handle.net/11449/189135 |
Resumo: | We study numerically the vortex-lattice formation in a rapidly rotating uniform quasi-twodimensional Bose-Einstein condensate (BEC) in a box trap. We consider two types of boxes: square and circle. In a square-shaped 2D box trap, when the number of generated vortices is the square of an integer, the vortices are found to be arranged in a perfect square lattice, although deviations near the center are found when the number of generated vortices is arbitrary. In case of a circular box trap, the generated vortices in the rapidly rotating BEC lie on concentric closed orbits. Near the center, these orbits have the shape of polygons, whereas near the periphery the orbits are circles. The circular box trap is equivalent to the rotating cylindrical bucket used in early experiment(s) with liquid He II. The number of generated vortices in both cases is in qualitative agreement with Feynman's universal estimate. The numerical simulation for this study is performed by a solution of the underlying meanfield Gross-Pitaevskii (GP) equation in the rotating frame, where the wave function for the generated vortex lattice is a stationary state. Consequently, the imaginary-time propagation method can be used for a solution of the GP equation, known to lead to an accurate numerical solution. We also demonstrated the dynamical stability of the vortex lattices in real-time propagation upon a small change of the angular frequency of rotation, using the converged imaginary-time wave function as the initial state. |
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Vortex-lattice in a uniform Bose-Einstein condensate in a box trapGross-Pitaevskii equationRotating uniform Bose-Einstein condensateSquare and circular box trapsVortex latticeWe study numerically the vortex-lattice formation in a rapidly rotating uniform quasi-twodimensional Bose-Einstein condensate (BEC) in a box trap. We consider two types of boxes: square and circle. In a square-shaped 2D box trap, when the number of generated vortices is the square of an integer, the vortices are found to be arranged in a perfect square lattice, although deviations near the center are found when the number of generated vortices is arbitrary. In case of a circular box trap, the generated vortices in the rapidly rotating BEC lie on concentric closed orbits. Near the center, these orbits have the shape of polygons, whereas near the periphery the orbits are circles. The circular box trap is equivalent to the rotating cylindrical bucket used in early experiment(s) with liquid He II. The number of generated vortices in both cases is in qualitative agreement with Feynman's universal estimate. The numerical simulation for this study is performed by a solution of the underlying meanfield Gross-Pitaevskii (GP) equation in the rotating frame, where the wave function for the generated vortex lattice is a stationary state. Consequently, the imaginary-time propagation method can be used for a solution of the GP equation, known to lead to an accurate numerical solution. We also demonstrated the dynamical stability of the vortex lattices in real-time propagation upon a small change of the angular frequency of rotation, using the converged imaginary-time wave function as the initial state.Instituto de Física Teórica UNESP-Universidade Estadual Paulista São PauloInstituto de Física Teórica UNESP-Universidade Estadual Paulista São PauloUniversidade Estadual Paulista (Unesp)Adhikari, S. K. [UNESP]2019-10-06T16:30:56Z2019-10-06T16:30:56Z2019-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1088/1361-648X/ab14c5Journal of Physics Condensed Matter, v. 31, n. 27, 2019.1361-648X0953-8984http://hdl.handle.net/11449/18913510.1088/1361-648X/ab14c52-s2.0-85065807858Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal of Physics Condensed Matterinfo:eu-repo/semantics/openAccess2021-10-23T10:11:29Zoai:repositorio.unesp.br:11449/189135Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462021-10-23T10:11:29Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Vortex-lattice in a uniform Bose-Einstein condensate in a box trap |
title |
Vortex-lattice in a uniform Bose-Einstein condensate in a box trap |
spellingShingle |
Vortex-lattice in a uniform Bose-Einstein condensate in a box trap Adhikari, S. K. [UNESP] Gross-Pitaevskii equation Rotating uniform Bose-Einstein condensate Square and circular box traps Vortex lattice |
title_short |
Vortex-lattice in a uniform Bose-Einstein condensate in a box trap |
title_full |
Vortex-lattice in a uniform Bose-Einstein condensate in a box trap |
title_fullStr |
Vortex-lattice in a uniform Bose-Einstein condensate in a box trap |
title_full_unstemmed |
Vortex-lattice in a uniform Bose-Einstein condensate in a box trap |
title_sort |
Vortex-lattice in a uniform Bose-Einstein condensate in a box trap |
author |
Adhikari, S. K. [UNESP] |
author_facet |
Adhikari, S. K. [UNESP] |
author_role |
author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (Unesp) |
dc.contributor.author.fl_str_mv |
Adhikari, S. K. [UNESP] |
dc.subject.por.fl_str_mv |
Gross-Pitaevskii equation Rotating uniform Bose-Einstein condensate Square and circular box traps Vortex lattice |
topic |
Gross-Pitaevskii equation Rotating uniform Bose-Einstein condensate Square and circular box traps Vortex lattice |
description |
We study numerically the vortex-lattice formation in a rapidly rotating uniform quasi-twodimensional Bose-Einstein condensate (BEC) in a box trap. We consider two types of boxes: square and circle. In a square-shaped 2D box trap, when the number of generated vortices is the square of an integer, the vortices are found to be arranged in a perfect square lattice, although deviations near the center are found when the number of generated vortices is arbitrary. In case of a circular box trap, the generated vortices in the rapidly rotating BEC lie on concentric closed orbits. Near the center, these orbits have the shape of polygons, whereas near the periphery the orbits are circles. The circular box trap is equivalent to the rotating cylindrical bucket used in early experiment(s) with liquid He II. The number of generated vortices in both cases is in qualitative agreement with Feynman's universal estimate. The numerical simulation for this study is performed by a solution of the underlying meanfield Gross-Pitaevskii (GP) equation in the rotating frame, where the wave function for the generated vortex lattice is a stationary state. Consequently, the imaginary-time propagation method can be used for a solution of the GP equation, known to lead to an accurate numerical solution. We also demonstrated the dynamical stability of the vortex lattices in real-time propagation upon a small change of the angular frequency of rotation, using the converged imaginary-time wave function as the initial state. |
publishDate |
2019 |
dc.date.none.fl_str_mv |
2019-10-06T16:30:56Z 2019-10-06T16:30:56Z 2019-01-01 |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1088/1361-648X/ab14c5 Journal of Physics Condensed Matter, v. 31, n. 27, 2019. 1361-648X 0953-8984 http://hdl.handle.net/11449/189135 10.1088/1361-648X/ab14c5 2-s2.0-85065807858 |
url |
http://dx.doi.org/10.1088/1361-648X/ab14c5 http://hdl.handle.net/11449/189135 |
identifier_str_mv |
Journal of Physics Condensed Matter, v. 31, n. 27, 2019. 1361-648X 0953-8984 10.1088/1361-648X/ab14c5 2-s2.0-85065807858 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Journal of Physics Condensed Matter |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.source.none.fl_str_mv |
Scopus reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
_version_ |
1799965575653359616 |