Generation of localized patterns in two-component condensates trapped in variable shape optical lattices

Ekogo, Thierry Blanchard; Mboumba, Maïk Delon; Kamsap, Marius Romuald; Makoundit, Gleann Juvet Ngounga; Moubissi, A. B.; Kofané, Timoléon Crépin

doi:10.1016/j.chaos.2020.110025

Cited by 4 publications

(1 citation statement)

References 47 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…So many studies related to MI have been treated as well as in domain formation [33,34], generation and propagation of solitons [35], including the quantum transition [36] and so one. For this purpose, several studies on MI in BECs with two-and three-body interactions have also been studied [37][38][39][40][41][42][43][44]. As it's happening in fiber, the phenomenon of MI and its associated gain spectrum has been investigated in Bragg Grating structure in a system composed by two coupled nonlinear Schrödinger equations with the quintic nonlinearity [45].…”

Section: Introductionmentioning

confidence: 99%

Modulation instability induced by four coupled of matter waves with two-and three-body interactions

Makoundit¹,

Mboumba²,

Ekogo³

et al. 2021

Phys. Scr.

Self Cite

View full text Add to dashboard Cite

Modulation instabilities of matter waves described by a system of four coupled Gross–Pitaevskii equations with two-and three-body interactions are analytically and numerically investigated. For analytical treatment, we use the linear stability analysis to derive the dispersion relation which allows us to predict regions of modulation instabilities gain spectra in two regimes. In the first regime, two counter-propagating beams of matter waves intensities are different, while in the second, their intensities are equal. It is shown that both the two-and three-body interactions greatly affect the gain spectra in the two regimes. By full numerical simulations of four coupled Gross–Pitaevskii equations, we confirm the analytical predictions. Moreover, we explore with the same parameters two possibilities of modulation instabilities for different velocities v that depend on the two-body interactions. For the small values of two-body interactions, when v > 1, the spatiotemporal evolution appears to be stable for long times, the modulation instability is enhanced. On the contrary, when v < 1, this evolution becomes unstable, the modulation instability tends to be suppressed.

show abstract