Quantized quasi-two-dimensional Bose-Einstein condensates with spatially modulated nonlinearity

By Deng‐Shan Wang, Xing-hua Hu, Jiangping Hu, W. M. Liu. 2009

139 citations recorded by the source corpus.

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.

Subfields: Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/dc8262a7b580e6b48c2127a76c3ca3d9d4b4dc00

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In Atomic and Molecular Physics, and Optics

1. Boris A. Malomed
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Citations in the corpus

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