Effective equation for quasi-one dimensional tube-shaped Bose–Einstein condensates

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dc.creatorSantos, Mateus Calixto Pereira dos
dc.creatorCardoso, Wesley Bueno
dc.date.accessioned2024-07-15T12:19:04Z
dc.date.available2024-07-15T12:19:04Z
dc.date.issued2019
dc.description.abstractIn 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.citationSANTOS, 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.doi10.1016/j.physleta.2019.01.064
dc.identifier.issn0375-9601
dc.identifier.issne- 1873-2429
dc.identifier.urihttps://www.sciencedirect.com/science/article/pii/S0375960119301136
dc.language.isoeng
dc.publisher.countryHolanda
dc.publisher.departmentInstituto de Física - IF (RMG)
dc.rightsAcesso Restrito
dc.subjectNonpolynomial Schrödinger equation
dc.subjectBose–Einstein condensates
dc.subjectTube-shaped
dc.subjectSolitons
dc.titleEffective equation for quasi-one dimensional tube-shaped Bose–Einstein condensates
dc.typeArtigo

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