Analytical solutions to the spin-1 Bose-Einstein condensates
Quantum Gases
2015-06-04 v2
Abstract
We analytically solve the one-dimensional coupled Gross-Pitaevskii equations which govern the motion of F=1 spinor Bose-Einstein condensates. The nonlinear density-density interactions are decoupled by making use of the unique properties of the Jacobian elliptical functions. Several types of complex stationary solutions are deduced. Furthermore, exact non-stationary solutions to the time-dependent Gross-Pitaevskii equations are constructed by making use of the spin-rotational symmetry of the Hamiltonian. The spin-polarizations exhibit kinked configurations. Our method is applicable to other coupled nonlinear systems.
Keywords
Cite
@article{arxiv.1202.3197,
title = {Analytical solutions to the spin-1 Bose-Einstein condensates},
author = {Zhi-Hai Zhang and Cong Zhang and Shi-Jie Yang and Shiping Feng},
journal= {arXiv preprint arXiv:1202.3197},
year = {2015}
}
Comments
12 figures