Effective equations for repulsive quasi-one dimensional Bose-Einstein condensates trapped with anharmonic transverse potentials

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2018

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One-dimensional nonlinear Schrödinger equations are derived to describe the axial effective dynamics of cigar-shaped atomic repulsive Bose-Einstein condensates trapped with anharmonic transverse potentials. The accuracy of these equations in the perturbative, Thomas-Fermi, and crossover regimes were verified numerically by comparing the ground-state profiles, transverse chemical potentials and oscillation patterns with those results obtained for the full three-dimensional Gross-Pitaevskii equation. This procedure allows us to derive different patterns of 1D nonlinear models by the control of the transverse confinement even in the presence of an axial vorticity.

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COUTO, Hugo L. C.; AVELAR, Ardiley T.; CARDOSO, Wesley B. Effective equations for repulsive quasi-one dimensional Bose-Einstein condensates trapped with anharmonic transverse potentials. Annalen der Physik, Hoboken, v. 530, n. 4, e1700352, 2018. DOI: 10.1002/andp.201700352. Disponível em: https://onlinelibrary.wiley.com/doi/abs/10.1002/andp.201700352. Acesso em: 13 set. 2023.