Multimode model for an atomic Bose-Einstein condensate in a ring-shaped optical lattice
We study the population dynamics of a ring-shaped optical lattice with a high number of particles per site and a low (less than ten) number of wells. Using a localized on-site basis defined in terms of stationary states, we were able to construct a multiple-mode model depending on relevant hopping a...
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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v88_n1_p_Jezek http://hdl.handle.net/20.500.12110/paper_10502947_v88_n1_p_Jezek |
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paper:paper_10502947_v88_n1_p_Jezek2023-06-08T16:02:46Z Multimode model for an atomic Bose-Einstein condensate in a ring-shaped optical lattice Jezek, Dora Marta Cataldo, Horacio Máximo Atomic Bose-Einstein condensate Effective interactions Ground-state density Interaction energy parameters Multimode models On-site energy Ring-shaped optical lattices Stationary state Bose-Einstein condensation Crystal lattices Optical lattices Optical materials Computer simulation We study the population dynamics of a ring-shaped optical lattice with a high number of particles per site and a low (less than ten) number of wells. Using a localized on-site basis defined in terms of stationary states, we were able to construct a multiple-mode model depending on relevant hopping and on-site energy parameters. We show that in the case of two wells, our model corresponds exactly to a recent improvement of the two-mode model. We derive a formula for the self-trapping period, which turns out to be chiefly ruled by the on-site interaction energy parameter. By comparing to time-dependent Gross-Pitaevskii simulations, we show that the multimode model results can be enhanced in a remarkable way over all the regimes by only renormalizing such a parameter. Finally, using a different approach which involves only the ground-state density, we derive an effective interaction energy parameter that turns out to be in accordance with the renormalized one. © 2013 American Physical Society. Fil:Jezek, D.M. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Cataldo, H.M. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2013 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v88_n1_p_Jezek http://hdl.handle.net/20.500.12110/paper_10502947_v88_n1_p_Jezek |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Atomic Bose-Einstein condensate Effective interactions Ground-state density Interaction energy parameters Multimode models On-site energy Ring-shaped optical lattices Stationary state Bose-Einstein condensation Crystal lattices Optical lattices Optical materials Computer simulation |
| spellingShingle |
Atomic Bose-Einstein condensate Effective interactions Ground-state density Interaction energy parameters Multimode models On-site energy Ring-shaped optical lattices Stationary state Bose-Einstein condensation Crystal lattices Optical lattices Optical materials Computer simulation Jezek, Dora Marta Cataldo, Horacio Máximo Multimode model for an atomic Bose-Einstein condensate in a ring-shaped optical lattice |
| topic_facet |
Atomic Bose-Einstein condensate Effective interactions Ground-state density Interaction energy parameters Multimode models On-site energy Ring-shaped optical lattices Stationary state Bose-Einstein condensation Crystal lattices Optical lattices Optical materials Computer simulation |
| description |
We study the population dynamics of a ring-shaped optical lattice with a high number of particles per site and a low (less than ten) number of wells. Using a localized on-site basis defined in terms of stationary states, we were able to construct a multiple-mode model depending on relevant hopping and on-site energy parameters. We show that in the case of two wells, our model corresponds exactly to a recent improvement of the two-mode model. We derive a formula for the self-trapping period, which turns out to be chiefly ruled by the on-site interaction energy parameter. By comparing to time-dependent Gross-Pitaevskii simulations, we show that the multimode model results can be enhanced in a remarkable way over all the regimes by only renormalizing such a parameter. Finally, using a different approach which involves only the ground-state density, we derive an effective interaction energy parameter that turns out to be in accordance with the renormalized one. © 2013 American Physical Society. |
| author |
Jezek, Dora Marta Cataldo, Horacio Máximo |
| author_facet |
Jezek, Dora Marta Cataldo, Horacio Máximo |
| author_sort |
Jezek, Dora Marta |
| title |
Multimode model for an atomic Bose-Einstein condensate in a ring-shaped optical lattice |
| title_short |
Multimode model for an atomic Bose-Einstein condensate in a ring-shaped optical lattice |
| title_full |
Multimode model for an atomic Bose-Einstein condensate in a ring-shaped optical lattice |
| title_fullStr |
Multimode model for an atomic Bose-Einstein condensate in a ring-shaped optical lattice |
| title_full_unstemmed |
Multimode model for an atomic Bose-Einstein condensate in a ring-shaped optical lattice |
| title_sort |
multimode model for an atomic bose-einstein condensate in a ring-shaped optical lattice |
| publishDate |
2013 |
| url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v88_n1_p_Jezek http://hdl.handle.net/20.500.12110/paper_10502947_v88_n1_p_Jezek |
| work_keys_str_mv |
AT jezekdoramarta multimodemodelforanatomicboseeinsteincondensateinaringshapedopticallattice AT cataldohoraciomaximo multimodemodelforanatomicboseeinsteincondensateinaringshapedopticallattice |
| _version_ |
1768542468347789312 |