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

Journal Article · Mon Feb 15 04:00:00 EST 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.81.025604· OSTI ID:21408343

Dengshan, Wang; Xinghua, Hu; Liu, W M ^[1]; Jiangping, Hu ^[2]

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1. Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190 (China)
2. Department of Physics, Purdue University, West Lafayette, Indiana 47907 (United States)

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.

• OSTI ID: 21408343
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 2 Vol. 81; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
ATOMS
BOSE-EINSTEIN CONDENSATION
ENERGY LEVELS
EQUATIONS
FUNCTIONS
HARMONIC OSCILLATORS
HARMONIC POTENTIAL
MATHEMATICAL SOLUTIONS
MATHEMATICS
MATTER
NONLINEAR PROBLEMS
NUCLEAR POTENTIAL
PARITY
PARTICLE PROPERTIES
POTENTIALS
TOPOLOGY
TWO-DIMENSIONAL CALCULATIONS
WAVE FUNCTIONS