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Acta Physica Polonica A

Exact Solutions of Bose-Einstein Condensate in Linear Magnetic Field and Time-Dependent Laser Field

Wenhua Huang, Jingyan Mao, W.G. Qiu

Published Mar 1, 2011• 6 citations
Publisher

Abstract

A generalized G G -expansion method is extended to construct exact solutions for the Gross-Pitaevskii equation with weak bias magnetic and time-dependent laser fields.Many types of exact solutions including hyperbolic function solution, trigonometric function solution and rational exact solution with parameters are obtained.In addition, soliton solutions are found.

DOI
10.12693/aphyspola.119.294

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A generalized G G -expansion method is extended to construct exact solutions for the Gross-Pitaevskii equation with weak bias magnetic and time-dependent laser fields.Many types of exact solutions including hyperbolic function solution, trigonometric function solution and rational exact solution with parameters are obtained.In addition, soliton solutions are found.
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We consider a cubic-quintic Gross–Pitaevskii equation which governs the dynamics of Bose–Einstein condensate matter waves with time-dependent scattering length and spatiotemporal complex potential. By introducing phase-imprint parameters in the system, we present the integrable condition for the equation and obtain the exact analytical solutions, which describe the propagation of a solitary wave. By applying specific time-modulated feeding/loss functional parameter, various types of magnetic trap strengths, and phase-imprint parameters, the dynamics of the solutions can be controlled. Solitary wave solutions with breathing and snaking behaviors are reported.