Domain formation of modulation instability in spin-orbit-Rabi coupled Gross-Pitaevskii equation with cubic-quintic interactions

TL;DR

This paper investigates how two- and three-body interactions influence the formation of modulation instability domains in a spin-orbit and Rabi-coupled Bose-Einstein condensate, using analytical and numerical methods.

Contribution

It provides a detailed analysis of the combined effects of linear couplings and nonlinear cubic-quintic interactions on MI domain formation in coupled BEC systems.

Findings

Interaction effects significantly alter MI domain boundaries

Linear and nonlinear couplings can be tuned to control MI

Results applicable to experimental binary BEC systems

Abstract

The effect of two- and three-body interactions on the modulation instability (MI) domain formation of a spin-orbit (SO) and Rabi-coupled Bose-Einstein condensate is studied within a quasi-one-dimensional model. To this aim, we perform numerical and analytical investigations of the associated dispersion relations derived from the corresponding coupled Gross-Pitaevskii equation. The interplay between the linear (SO and Rabi) couplings with the nonlinear cubic-quintic interactions are explored in the mixture, considering miscible and immiscible configurations, with a focus on the impact in the analysis of experimental realizations with general binary coupled systems, in which nonlinear interactions can be widely varied together with linear couplings.