Modulation instability in helicoidal spin-orbit coupled open Bose-Einstein condensates

Phelo Otlaadisa, Conrad Bertrand Tabi, Timoléon Crépin Kofané

Research output: Contribution to journalArticlepeer-review

Abstract

We introduce a vector form of the cubic complex Ginzburg-Landau equation describing the dynamics of dissipative solitons in the two-component helicoidal spin-orbit coupled open Bose-Einstein condensates (BECs), where the addition of dissipative interactions is done through coupled rate equations. Furthermore, the standard linear stability analysis is used to investigate theoretically the stability of continuous-wave (cw) solutions and to obtain an expression for the modulational instability gain spectrum. Using direct simulations of the Fourier space, we numerically investigate the dynamics of the modulational instability in the presence of helicoidal spin-orbit coupling. Our numerical simulations confirm the theoretical predictions of the linear theory as well as the threshold for amplitude perturbations.

Original languageEnglish
Article number052206
JournalPhysical Review E
Volume103
Issue number5
DOIs
Publication statusPublished - May 2021

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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