Approximate Solutions of the Nonlinear Schrödinger Equation for Ground and Excited States of Bose-Einstein Condensates

I present simple analytical methods for computing the properties of ground and excited states of Bose-Einstein condensates, and compare their results to extensive numerical simulations. I consider the effect of vortices in the condensate for both positive and negative scattering lengths, a, and find...

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Detalles Bibliográficos
Autor principal: Dodd, R. J.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: [Gaithersburg, MD] : U.S. Dept. of Commerce, National Institute of Standards and Technology 1996
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4907623/
https://www.ncbi.nlm.nih.gov/pubmed/27805107
http://dx.doi.org/10.6028/jres.101.054
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author Dodd, R. J.
author_facet Dodd, R. J.
author_sort Dodd, R. J.
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description I present simple analytical methods for computing the properties of ground and excited states of Bose-Einstein condensates, and compare their results to extensive numerical simulations. I consider the effect of vortices in the condensate for both positive and negative scattering lengths, a, and find an analytical expression for the large-N(0) limit of the vortex critical frequency for a > 0, by approximate solution of the time-independent nonlinear Schrödinger equation.
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spelling pubmed-49076232016-10-28 Approximate Solutions of the Nonlinear Schrödinger Equation for Ground and Excited States of Bose-Einstein Condensates Dodd, R. J. J Res Natl Inst Stand Technol Article I present simple analytical methods for computing the properties of ground and excited states of Bose-Einstein condensates, and compare their results to extensive numerical simulations. I consider the effect of vortices in the condensate for both positive and negative scattering lengths, a, and find an analytical expression for the large-N(0) limit of the vortex critical frequency for a > 0, by approximate solution of the time-independent nonlinear Schrödinger equation. [Gaithersburg, MD] : U.S. Dept. of Commerce, National Institute of Standards and Technology 1996 /pmc/articles/PMC4907623/ /pubmed/27805107 http://dx.doi.org/10.6028/jres.101.054 Text en https://creativecommons.org/publicdomain/zero/1.0/ The Journal of Research of the National Institute of Standards and Technology is a publication of the U.S. Government. The papers are in the public domain and are not subject to copyright in the United States. Articles from J Res may contain photographs or illustrations copyrighted by other commercial organizations or individuals that may not be used without obtaining prior approval from the holder of the copyright.
spellingShingle Article
Dodd, R. J.
Approximate Solutions of the Nonlinear Schrödinger Equation for Ground and Excited States of Bose-Einstein Condensates
title Approximate Solutions of the Nonlinear Schrödinger Equation for Ground and Excited States of Bose-Einstein Condensates
title_full Approximate Solutions of the Nonlinear Schrödinger Equation for Ground and Excited States of Bose-Einstein Condensates
title_fullStr Approximate Solutions of the Nonlinear Schrödinger Equation for Ground and Excited States of Bose-Einstein Condensates
title_full_unstemmed Approximate Solutions of the Nonlinear Schrödinger Equation for Ground and Excited States of Bose-Einstein Condensates
title_short Approximate Solutions of the Nonlinear Schrödinger Equation for Ground and Excited States of Bose-Einstein Condensates
title_sort approximate solutions of the nonlinear schrödinger equation for ground and excited states of bose-einstein condensates
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4907623/
https://www.ncbi.nlm.nih.gov/pubmed/27805107
http://dx.doi.org/10.6028/jres.101.054
work_keys_str_mv AT doddrj approximatesolutionsofthenonlinearschrodingerequationforgroundandexcitedstatesofboseeinsteincondensates

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