Dynamics in multiple-well Bose-Einstein condensates

We study the dynamics of three-dimensional weakly linked Bose-Einstein condensates using a multimode model with an effective interaction parameter. The system is confined by a ring-shaped four-well trapping potential. By constructing a two-mode Hamiltonian in a reduced highly symmetric phase space,...

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Detalles Bibliográficos
Publicado: 2018
Materias:
Bose-Einstein condensation
Phase space methods
Statistical mechanics
Bose-Einstein condensates
Effective interaction parameters
Floquet multiplier
Multimode dynamics
Multimode models
Numerical exploration
Site interaction
Trapping potential
Dynamics
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_24699926_v97_n1_p_Nigro
http://hdl.handle.net/20.500.12110/paper_24699926_v97_n1_p_Nigro
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_24699926_v97_n1_p_Nigro
record_format dspace
spelling paper:paper_24699926_v97_n1_p_Nigro2023-06-08T16:36:07Z Dynamics in multiple-well Bose-Einstein condensates Bose-Einstein condensation Phase space methods Statistical mechanics Bose-Einstein condensates Effective interaction parameters Floquet multiplier Multimode dynamics Multimode models Numerical exploration Site interaction Trapping potential Dynamics We study the dynamics of three-dimensional weakly linked Bose-Einstein condensates using a multimode model with an effective interaction parameter. The system is confined by a ring-shaped four-well trapping potential. By constructing a two-mode Hamiltonian in a reduced highly symmetric phase space, we examine the periodic orbits and calculate their time periods both in the self-trapping and Josephson regimes. The dynamics in the vicinity of the reduced phase space is investigated by means of a Floquet multiplier analysis, finding regions of different linear stability and analyzing their implications on the exact dynamics. The numerical exploration in an extended region of the phase space demonstrates that two-mode tools can also be useful for performing a partition of the space in different regimes. Comparisons with Gross-Pitaevskii simulations confirm these findings and emphasize the importance of properly determining the effective on-site interaction parameter governing the multimode dynamics. © 2018 American Physical Society. 2018 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_24699926_v97_n1_p_Nigro http://hdl.handle.net/20.500.12110/paper_24699926_v97_n1_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 Bose-Einstein condensation
Phase space methods
Statistical mechanics
Bose-Einstein condensates
Effective interaction parameters
Floquet multiplier
Multimode dynamics
Multimode models
Numerical exploration
Site interaction
Trapping potential
Dynamics
spellingShingle Bose-Einstein condensation
Phase space methods
Statistical mechanics
Bose-Einstein condensates
Effective interaction parameters
Floquet multiplier
Multimode dynamics
Multimode models
Numerical exploration
Site interaction
Trapping potential
Dynamics
Dynamics in multiple-well Bose-Einstein condensates
topic_facet Bose-Einstein condensation
Phase space methods
Statistical mechanics
Bose-Einstein condensates
Effective interaction parameters
Floquet multiplier
Multimode dynamics
Multimode models
Numerical exploration
Site interaction
Trapping potential
Dynamics
description We study the dynamics of three-dimensional weakly linked Bose-Einstein condensates using a multimode model with an effective interaction parameter. The system is confined by a ring-shaped four-well trapping potential. By constructing a two-mode Hamiltonian in a reduced highly symmetric phase space, we examine the periodic orbits and calculate their time periods both in the self-trapping and Josephson regimes. The dynamics in the vicinity of the reduced phase space is investigated by means of a Floquet multiplier analysis, finding regions of different linear stability and analyzing their implications on the exact dynamics. The numerical exploration in an extended region of the phase space demonstrates that two-mode tools can also be useful for performing a partition of the space in different regimes. Comparisons with Gross-Pitaevskii simulations confirm these findings and emphasize the importance of properly determining the effective on-site interaction parameter governing the multimode dynamics. © 2018 American Physical Society.
title Dynamics in multiple-well Bose-Einstein condensates
title_short Dynamics in multiple-well Bose-Einstein condensates
title_full Dynamics in multiple-well Bose-Einstein condensates
title_fullStr Dynamics in multiple-well Bose-Einstein condensates
title_full_unstemmed Dynamics in multiple-well Bose-Einstein condensates
title_sort dynamics in multiple-well bose-einstein condensates
publishDate 2018
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_24699926_v97_n1_p_Nigro
http://hdl.handle.net/20.500.12110/paper_24699926_v97_n1_p_Nigro
_version_ 1768543823217033216

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