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.
Published in:
Physical Review A 81,2 (2010)
Link to original published article:
http://dx.doi.org/10.1103/PhysRevA.81.025604
Date of Version
February 2010
Recommended Citation
Wang, D. S.; Hu, X. H.; Hu, J. P.; and Liu, W. M., "Quantized quasi-two-dimensional Bose-Einstein condensates with spatially modulated
nonlinearity" (2010). Department of Physics and Astronomy Faculty Publications. Paper 1336.
https://docs.lib.purdue.edu/physics_articles/1336