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- W2891794943 abstract "Bose–Einstein condensates of repulsive Bose atoms in a one-dimensional harmonic trap are investigated within the framework of a mean field theory. We solve the one-dimensional nonlinear Gross–Pitaevskii (GP) equation that describes atomic Bose–Einstein condensates. As a result, we acquire a family of exact breather solutions of the GP equation. We numerically calculate the number density [Formula: see text] of atoms that is associated with these solutions. The first discovery of the calculation is that at the instant of the saddle point, the density profile exhibits a sharp peak with extremely narrow width. The second discovery of the calculation is that in the center of the trap ([Formula: see text] m), the number density is a U-shaped function of the time [Formula: see text]. The third discovery of the calculation is that the surface plot of the density [Formula: see text] likes a saddle surface. The fourth discovery of the calculation is that as the number [Formula: see text] of atoms increases, the Bose–Einstein condensate in a one-dimensional harmonic trap becomes stabler and stabler." @default.
- W2891794943 created "2018-09-27" @default.
- W2891794943 creator A5012675519 @default.
- W2891794943 date "2018-10-01" @default.
- W2891794943 modified "2023-09-24" @default.
- W2891794943 title "Exact breather solutions of repulsive Bose atoms in a one-dimensional harmonic trap" @default.
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- W2891794943 doi "https://doi.org/10.1142/s0129183118501000" @default.
- W2891794943 hasPublicationYear "2018" @default.
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