Stability of matter-wave solitons in a density-dependent gauge theory

Autor:	Dingwall, R. J., Öhberg, P.
Rok vydání:	2018
Předmět:	Condensed Matter - Quantum Gases Nonlinear Sciences - Pattern Formation and Solitons
Zdroj:	Phys. Rev. A 99, 023609 (2019)
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevA.99.023609
Popis:	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. Comment: 12 pages, 4 figures. Comments are welcome
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1809.11154 Zobrazit plný text záznamu View this record from Arxiv