Classical electrodynamics analogy of two-dimensional Bose-Einstein condensates

The previously explored analogy between a two-dimensional homogeneous superfluid and a (2+1)-dimensional electrodynamic system is extended to the case of a confined Bose-Einstein condensate. More precisely, a whole mapping between the hydrodynamics of a two-dimensional Bose-Einstein condensate and t...

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Detalles Bibliográficos
Autor principal: Cataldo, Horacio Máximo
Publicado: 2010
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_97816172_v_n_p125_Cataldo
http://hdl.handle.net/20.500.12110/paper_97816172_v_n_p125_Cataldo
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_97816172_v_n_p125_Cataldo
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spelling paper:paper_97816172_v_n_p125_Cataldo2023-06-08T16:38:19Z Classical electrodynamics analogy of two-dimensional Bose-Einstein condensates Cataldo, Horacio Máximo The previously explored analogy between a two-dimensional homogeneous superfluid and a (2+1)-dimensional electrodynamic system is extended to the case of a confined Bose-Einstein condensate. More precisely, a whole mapping between the hydrodynamics of a two-dimensional Bose-Einstein condensate and the nonrelativistic classical electrodynamics of a charged material medium is developed and analyzed. In such an analogy, macroscopic charges and electromagnetic radiation play the role of vortices and sound radiation, respectively. The mapping is shown to provide a very useful frame to discuss several features of vortex dynamics and induced velocity fields. Particularly, two important local conservation theorems of energy and angular momentum are easily derived. The controversial question of the vortex inertia is also studied from the viewpoint of the electromagnetic analogy, finding a qualitative agreement between the dissipative inertial effects in a uniform superfluid system and the numerical simulation results of vortex motion in a Bose-Einstein condensate. © 2010 by Nova Science Publishers, Inc. All rights reserved. Fil:Cataldo, H.M. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2010 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_97816172_v_n_p125_Cataldo http://hdl.handle.net/20.500.12110/paper_97816172_v_n_p125_Cataldo
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description The previously explored analogy between a two-dimensional homogeneous superfluid and a (2+1)-dimensional electrodynamic system is extended to the case of a confined Bose-Einstein condensate. More precisely, a whole mapping between the hydrodynamics of a two-dimensional Bose-Einstein condensate and the nonrelativistic classical electrodynamics of a charged material medium is developed and analyzed. In such an analogy, macroscopic charges and electromagnetic radiation play the role of vortices and sound radiation, respectively. The mapping is shown to provide a very useful frame to discuss several features of vortex dynamics and induced velocity fields. Particularly, two important local conservation theorems of energy and angular momentum are easily derived. The controversial question of the vortex inertia is also studied from the viewpoint of the electromagnetic analogy, finding a qualitative agreement between the dissipative inertial effects in a uniform superfluid system and the numerical simulation results of vortex motion in a Bose-Einstein condensate. © 2010 by Nova Science Publishers, Inc. All rights reserved.
author Cataldo, Horacio Máximo
spellingShingle Cataldo, Horacio Máximo
Classical electrodynamics analogy of two-dimensional Bose-Einstein condensates
author_facet Cataldo, Horacio Máximo
author_sort Cataldo, Horacio Máximo
title Classical electrodynamics analogy of two-dimensional Bose-Einstein condensates
title_short Classical electrodynamics analogy of two-dimensional Bose-Einstein condensates
title_full Classical electrodynamics analogy of two-dimensional Bose-Einstein condensates
title_fullStr Classical electrodynamics analogy of two-dimensional Bose-Einstein condensates
title_full_unstemmed Classical electrodynamics analogy of two-dimensional Bose-Einstein condensates
title_sort classical electrodynamics analogy of two-dimensional bose-einstein condensates
publishDate 2010
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_97816172_v_n_p125_Cataldo
http://hdl.handle.net/20.500.12110/paper_97816172_v_n_p125_Cataldo
work_keys_str_mv AT cataldohoraciomaximo classicalelectrodynamicsanalogyoftwodimensionalboseeinsteincondensates
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