Soliton solutions of 3D Gross-Pitaevskii equation by a potential control method
Exactly Solvable and Integrable Systems
2015-05-13 v2 Pattern Formation and Solitons
Abstract
We present a class of three-dimensional solitary waves solutions of the Gross-Pitaevskii (GP) equation, which governs the dynamics of Bose-Einstein condensates (BECs). By imposing an external controlling potential, a desired time-dependent shape of the localized BEC excitation is obtained. The stability of some obtained localized solutions is checked by solving the time-dependent GP equation numerically with analytic solutions as initial conditions. The analytic solutions can be used to design external potentials to control the localized BECs in experiment.
Keywords
Cite
@article{arxiv.0907.1595,
title = {Soliton solutions of 3D Gross-Pitaevskii equation by a potential control method},
author = {Renato Fedele and Bengt Eliasson and Fernando Haas and Padma Kant Shukla and Dusan Jovanovic and Sergio De Nicola},
journal= {arXiv preprint arXiv:0907.1595},
year = {2015}
}
Comments
11 pages, 5 figures, submitted to Phys. Rev. E