Self-trapping under the two-dimensional spin-orbit-coupling and spatially growing repulsive nonlinearity
Abstract
We elaborate a method for the creation of two- and one-dimensional (2D and 1D) self-trapped modes in binary spin-orbit (SO)-coupled Bose-Einstein condensates (BECs) with the contact repulsive interaction, whose local strength grows fast enough from the center to periphery. In particular, an exact semi-vortex (SV) solution is found for the anti-Gaussian radial-modulation profile. The exact modes are included in the numerically produced family of SV solitons. Other families, in the form of mixed modes(MMs), as well as excited state of SVs and MMs, are produced too. While the excited states are unstable in all previously studied models, they are partially stable in the present one. In the 1D version of the system, exact solutions for the counterpart of the SVs, namely, \textit{semi-dipole} solitons, are found too. Families of semi-dipoles, as well as the 1D version of MMs, are produced numerically.
Keywords
Cite
@article{arxiv.1712.01430,
title = {Self-trapping under the two-dimensional spin-orbit-coupling and spatially growing repulsive nonlinearity},
author = {Rongxuan Zhong and Zhaopin Chen and Chunqing Huang and Zhihuan Luo and Haishu Tan and Boris A. Malomed and Yongyao Li},
journal= {arXiv preprint arXiv:1712.01430},
year = {2018}
}
Comments
14 figures, 82 references. Accepted by the Frontiers of Physics