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Two-component dark-bright solitons in three-dimensional atomic Bose-Einstein condensates

Wenlong Wang1,* and P. G. Kevrekidis2,†

  • 1Department of Physics and Astronomy, Texas A&M University, College Station, Texas 77843-4242, USA
  • 2Department of Mathematics and Statistics, University of Massachusetts, Amherst, Massachusetts 01003-4515, USA

  • *wenlongcmp@gmail.com
  • †kevrekid@math.umass.edu
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Phys. Rev. E 95, 032201 – Published 3 March, 2017

DOI: https://doi.org/10.1103/PhysRevE.95.032201

Abstract

In the present work, we revisit two-component Bose-Einstein condensates in their fully three-dimensional (3D) form. Motivated by earlier studies of dark-bright solitons in the 1D case, we explore the stability of these structures in their fully 3D form in two variants. In one the dark soliton is planar and trapping a planar bright (disk) soliton. In the other case, a dark spherical shell soliton creates an effective potential in which a bright spherical shell of atoms is trapped in the second component. We identify these solutions as numerically exact states (up to a prescribed accuracy) and perform a Bogolyubov–de Gennes linearization analysis that illustrates that both structures can be dynamically stable in suitable intervals of sufficiently low chemical potentials. We corroborate this finding theoretically by analyzing the stability via degenerate perturbation theory near the linear limit of the system. When the solitary waves are found to be unstable, we explore their dynamical evolution via direct numerical simulations which, in turn, reveal wave forms that are more robust. Finally, using the SO(2) symmetry of the model, we produce multi-dark-bright planar or shell solitons involved in pairwise oscillatory motion.

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Phys. Rev. E 95, 032201– Published 3 March, 2017
  • Received 19 December 2016
Article part of CHORUS

©2017 American Physical Society

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