Stability of matter-wave solitons in a density-dependent gauge theory
Quantum Gases
2019-02-13 v1 Pattern Formation and Solitons
Abstract
We consider the linear stability of chiral matter-wave solitons described by a density-dependent gauge theory. By studying the associated Bogoliubov-de Gennes equations both numerically and analytically, we find that the stability problem effectively reduces to that of the standard Gross-Pitaevskii equation, proving that the solitons are stable to linear perturbations. In addition, we formulate the stability problem in the framework of the Vakhitov-Kolokolov criterion and provide supplementary numerical simulations which illustrate the absence of instabilities when the soliton is initially perturbed.
Keywords
Cite
@article{arxiv.1809.11154,
title = {Stability of matter-wave solitons in a density-dependent gauge theory},
author = {R. J. Dingwall and P. Öhberg},
journal= {arXiv preprint arXiv:1809.11154},
year = {2019}
}
Comments
12 pages, 4 figures. Comments are welcome