Weakly nonlocal matter-wave droplets and soliton trains engineering in a Bose-Einstein condensate

• Published in: Physics letters. A 2024-10, Vol.521, p.129737, Article 129737
• Main Authors: Tabi, Conrad Bertrand, Wamba, Etienne, Tagwo, Hippolyte, Kofané, Timoléon Crépin
• Format: Article
• Language: English
• ISSN: 0375-9601
• DOI: 10.1016/j.physleta.2024.129737

We propose a comprehensive analysis of the modulational instability (MI) phenomenon in one-dimensional Bose-Einstein condensate (BEC) in the context of mutually symmetric components in the binary mixture. The proposed model considers weak nonlocal cubic mean-field and quadratic beyond mean-field interactions arising from quantum fluctuations. The instability regions are analyzed using linear stability analysis of a continuous wave, considering maximum perturbation wavenumber and growth rate. The regions for quantum droplets (QDs) and solitons are identified by varying the nonlocality parameter. Numerical simulations confirm analytical predictions, revealing that nonlocality influences the formation of various QD profiles and instability time. Furthermore, solitonic patterns exhibit nonlocality-dependent behavior. Our study opens new doors to a better characterization of QDs in binary mixtures in the presence of higher-order beyond mean-field effects. •Wave instability is studied in Bose-Einstein condensate with weak nonlocal two-body interactions and nonlocal quantum fluctuations.•Regions for quantum droplets and solitons are identified by varying the nonlocality parameter.•Nonlocality influences the formation of various quantum droplet profiles and impacts the instability time.•Solitonic patterns exhibit nonlocality-dependent behaviors.