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- W2100041559 abstract "We investigate the localized nonlinear matter waves of the quasi-two-dimensional Bose-Einstein condensates with spatially modulated nonlinearity in the harmonic potential. It is shown that all of the Bose-Einstein condensates, similar to the linear harmonic oscillator, can have an arbitrary number of localized nonlinear matter waves with discrete energies, which are mathematically exact orthogonal solutions of the Gross-Pitaevskii equation. Their properties are determined by the principal quantum number $n$ and secondary quantum number $l$: the parity of the matter wave functions and the corresponding energy levels depend only on $n$, and the numbers of density packets for each quantum state depend on both $n$ and $l$, which describe the topological properties of the atom packets. We also give an experimental protocol to observe these phenomena in future experiments." @default.
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- W2100041559 date "2010-02-25" @default.
- W2100041559 modified "2023-09-30" @default.
- W2100041559 title "Quantized quasi-two-dimensional Bose-Einstein condensates with spatially modulated nonlinearity" @default.
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- W2100041559 doi "https://doi.org/10.1103/physreva.81.025604" @default.
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