Quasi-two-dimensional Bose-Einstein condensates with spatially modulated cubic-quintic nonlinearities

Journal Article · Thu Sep 15 00:00:00 EDT 2011 · Annals of Physics (New York)

OSTI ID:21583339

Dengshan, Wang ^[1]; Liangliang, Wang ^[2]; Jiefang, Zhang ^[2]; Liu, W M ^[1]

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1. Institute of Physics, Chinese Academy of Sciences, Beijing 100190 (China)
2. Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua, Zhejiang, 321004 (China)

We investigate exact nonlinear matter wave functions with odd and even parities in the framework of quasi-two-dimensional Bose-Einstein condensates (BECs) with spatially modulated cubic-quintic nonlinearities and harmonic potential. The existence condition for these exact solutions requires that the minimum energy eigenvalue of the corresponding linear Schroedinger equation with harmonic potential is the cutoff value of the chemical potential {lambda}. The competition between two-body and three-body interactions influences the energy of the localized state. For attractive two-body and three-body interactions, the larger the matter wave order number n, the larger the energy of the corresponding localized state. A linear stability analysis and direct simulations with initial white noise demonstrate that, for the same state (fixed n), increasing the number of atoms can add stability. A quasi-stable ground-state matter wave is also found for repulsive two-body and three-body interactions. We also discuss the experimental realization of these results in future experiments. These results are of particular significance to matter wave management in higher-dimensional BECs. - Highlights: > 2D Bose-Einstein condensates (BECs) with spatially modulated cubic-quintic nonlinearities and the harmonic potential are discussed. > 2D exact quantized nonlinear matter wave functions with the odd and even parities are obtained. > The 2D ground-state matter wave with attractive two-body and repulsive three-body interactions is stable. > Experimental realization of our results in future experiments is proposed.

• OSTI ID: 21583339
• Journal Information: Annals of Physics (New York), Vol. 326, Issue 9; Other Information: DOI: 10.1016/j.aop.2011.05.006; PII: S0003-4916(11)00097-2; Copyright (c) 2011 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
AUGMENTATION
BOSE-EINSTEIN CONDENSATION
EIGENVALUES
EXACT SOLUTIONS
GROUND STATES
HARMONIC POTENTIAL
INTERACTIONS
MATTER
NOISE
NONLINEAR PROBLEMS
SCHROEDINGER EQUATION
SIMULATION
STABILITY
THREE-BODY PROBLEM
TWO-BODY PROBLEM
TWO-DIMENSIONAL CALCULATIONS
WAVE FUNCTIONS
DIFFERENTIAL EQUATIONS
ENERGY LEVELS
EQUATIONS
FUNCTIONS
MANY-BODY PROBLEM
MATHEMATICAL SOLUTIONS
NUCLEAR POTENTIAL
PARTIAL DIFFERENTIAL EQUATIONS
POTENTIALS
WAVE EQUATIONS