Effective two-mode model in Bose-Einstein condensates versus Gross-Pitaevskii simulations

Abstract: We study the dynamics of three-dimensional Bose-Einstein condensates confined by double-well potentials using a two-mode (TM) model with an effective on-site interaction energy parameter. The effective on-site interaction energy parameter is evaluated for different numbers of particles ran...

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Detalles Bibliográficos
Publicado: 2017
Materias:
Cold Matter and Quantum Gas
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_14346060_v71_n11_p_Nigro
http://hdl.handle.net/20.500.12110/paper_14346060_v71_n11_p_Nigro
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_14346060_v71_n11_p_Nigro
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spelling paper:paper_14346060_v71_n11_p_Nigro2023-06-08T16:15:35Z Effective two-mode model in Bose-Einstein condensates versus Gross-Pitaevskii simulations Cold Matter and Quantum Gas Abstract: We study the dynamics of three-dimensional Bose-Einstein condensates confined by double-well potentials using a two-mode (TM) model with an effective on-site interaction energy parameter. The effective on-site interaction energy parameter is evaluated for different numbers of particles ranging from a low experimental value to larger ones approaching the Thomas-Fermi limit, yielding important corrections to the dynamics. We analyze the time periods as functions of the initial imbalance and find a closed integral form that includes all interaction-driven parameters. A simple analytical formula for the self-trapping period is introduced and shown to accurately reproduce the exact values provided by the TM model. Systematic numerical simulations of the problem in 3D demonstrate the excellent agreement of the TM model for experimental parameters. Graphical abstract: [Figure not available: see fulltext.]. © 2017, EDP Sciences, SIF, Springer-Verlag GmbH Germany, part of Springer Nature. 2017 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_14346060_v71_n11_p_Nigro http://hdl.handle.net/20.500.12110/paper_14346060_v71_n11_p_Nigro
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Cold Matter and Quantum Gas
spellingShingle Cold Matter and Quantum Gas
Effective two-mode model in Bose-Einstein condensates versus Gross-Pitaevskii simulations
topic_facet Cold Matter and Quantum Gas
description Abstract: We study the dynamics of three-dimensional Bose-Einstein condensates confined by double-well potentials using a two-mode (TM) model with an effective on-site interaction energy parameter. The effective on-site interaction energy parameter is evaluated for different numbers of particles ranging from a low experimental value to larger ones approaching the Thomas-Fermi limit, yielding important corrections to the dynamics. We analyze the time periods as functions of the initial imbalance and find a closed integral form that includes all interaction-driven parameters. A simple analytical formula for the self-trapping period is introduced and shown to accurately reproduce the exact values provided by the TM model. Systematic numerical simulations of the problem in 3D demonstrate the excellent agreement of the TM model for experimental parameters. Graphical abstract: [Figure not available: see fulltext.]. © 2017, EDP Sciences, SIF, Springer-Verlag GmbH Germany, part of Springer Nature.
title Effective two-mode model in Bose-Einstein condensates versus Gross-Pitaevskii simulations
title_short Effective two-mode model in Bose-Einstein condensates versus Gross-Pitaevskii simulations
title_full Effective two-mode model in Bose-Einstein condensates versus Gross-Pitaevskii simulations
title_fullStr Effective two-mode model in Bose-Einstein condensates versus Gross-Pitaevskii simulations
title_full_unstemmed Effective two-mode model in Bose-Einstein condensates versus Gross-Pitaevskii simulations
title_sort effective two-mode model in bose-einstein condensates versus gross-pitaevskii simulations
publishDate 2017
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_14346060_v71_n11_p_Nigro
http://hdl.handle.net/20.500.12110/paper_14346060_v71_n11_p_Nigro
_version_ 1768546176052756480

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