Composite solitons in spin–orbit-coupled Bose–Einstein condensates within optical lattices

Junbo Chen, Dumitru Mihalache, Milivoj R. Belić, Xuzhen Gao, Danfeng Zhu, Dingnan Deng, Shaobin Qiu, Xing Zhu, Liangwei Zeng*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

We demonstrate that the two-component model of Bose–Einstein condensates (BECs) trapped in an optical lattice with the spin–orbit Rashba coupling and cubic repulsive interactions gives rise to gap solitary complexes of three types. The first type is the fundamental–fundamental soliton (FFS), with a fundamental soliton in both components; the second is the fundamental–dipole soliton (FDS), with a fundamental soliton in one component and a dipole soliton in the other; and the third is the dual-hump–dual-hump soliton (DHDHS), with a dual-hump soliton in both components. We study two types of fundamental solitons, namely, the single-hump and the three-hump ones. We establish that the first and second components of FFS and DHDHS in our model are mirror-symmetric about the y-axis. The first component of FDS displays the left–right symmetry, while the second component displays the rotational symmetry about the origin. We also discover that the stability domains of FFS and FDS in both the first and second band gaps are large, lending credence to their stability. This work advances the understanding of the rather complicated behavior of BECs in optical lattices and opens avenues for experimental verification of these gap soliton structures.

Original languageEnglish
Article number115325
Number of pages8
JournalChaos, Solitons and Fractals
Volume186
DOIs
Publication statusPublished - Sept 2024

Keywords

  • Bose-Einstein condensates
  • Dipole solitons
  • Gap solitons
  • Nonlinear Schr & ouml;dinger equation
  • Spin-orbit-coupling

Fingerprint

Dive into the research topics of 'Composite solitons in spin–orbit-coupled Bose–Einstein condensates within optical lattices'. Together they form a unique fingerprint.

Cite this