Effective equation for quasi-one dimensional tube-shaped Bose–Einstein condensates
dc.creator | Santos, Mateus Calixto Pereira dos | |
dc.creator | Cardoso, Wesley Bueno | |
dc.date.accessioned | 2024-07-15T12:19:04Z | |
dc.date.available | 2024-07-15T12:19:04Z | |
dc.date.issued | 2019 | |
dc.description.abstract | In this letter we derive an effective 1D equation that describes the axial dynamics of a tube-shaped Bose–Einstein condensate. The dimensional reduction is achieved by using a variational approach starting from the 3D Gross–Pitaevskii equation (GPE) in presence of a nonharmonic external potential in the transverse direction and generic in the axial one. The resulting equation is a time-dependent 1D nonpolynomial Schrödinger equation (NPSE). In view to check the accuracy of our 1D-NPSE, we numerically investigated the ground state properties of such a system that are in perfect agreement with the results produced by the 3D-GPE. We also compare the results with those from an 1D cubic nonlinear Schrödinger equation and the Thomas–Fermi approximation. Finally, the dynamics of ground states obtained from our 1D-NPSE is verified numerically by considering a small change in the strength of the axial confining potential. | |
dc.identifier.citation | SANTOS, Mateus C. P. dos; CARDOSO, Wesley B. Effective equation for quasi-one dimensional tube-shaped Bose-Einstein condensates. Physics Letters A, Amsterdam, v. 383, n. 13, p. 1435-1440, 2019. DOI: 10.1016/j.physleta.2019.01.064. Disponível em: https://www.sciencedirect.com/science/article/pii/S0375960119301136. Acesso em: 1 jun.2023. | |
dc.identifier.doi | 10.1016/j.physleta.2019.01.064 | |
dc.identifier.issn | 0375-9601 | |
dc.identifier.issn | e- 1873-2429 | |
dc.identifier.uri | https://www.sciencedirect.com/science/article/pii/S0375960119301136 | |
dc.language.iso | eng | |
dc.publisher.country | Holanda | |
dc.publisher.department | Instituto de Física - IF (RMG) | |
dc.rights | Acesso Restrito | |
dc.subject | Nonpolynomial Schrödinger equation | |
dc.subject | Bose–Einstein condensates | |
dc.subject | Tube-shaped | |
dc.subject | Solitons | |
dc.title | Effective equation for quasi-one dimensional tube-shaped Bose–Einstein condensates | |
dc.type | Artigo |
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