Second-neighbor hopping effects on the dynamics of breathers in 2D quantum ultracold atoms loaded in optical lattices
Zacharie Isidore Djoufack, Jean Pierre Nguenang, A. Kenfack-Jiotsa
Abstract We explore analytically and numerically the dual role played bythe second-neighbor hopping on the modulation instability and onthe dynamics of breathers in 2D quantum ultracold atoms loaded inoptical lattices. Via the linear stability analysis, it is shownthat the dispersion relation formed exhibits intriguing forms. Itis found that, the existence conditions of appearance of themodulational intability (MI) regions and the growth rate may besignificantly affected by the second neighbor hopping couplingstrength. To support the analytical studies, direct numericalsimulations of MI is carried out to show the generation of a trainof short waves exhibiting periodic W-shaped and V-shaped solitonswith decreasing amplitude as time evolves. The emergence ofbreathers in the regions where the MI manifests is predicted to beinfluenced by the second neighbor hopping coupling strength. Bymaking use of Rayleigh-Ritz variational method and in agreementwith the MI analysis, the analytical results reveal the existenceof the radial symmetric modes called the dynamics of breathers.The accuracy of the outcomes is checked by numerical calculationswhich show a good agreement with the theoretical analysis.
•Nov 6, 2024•0 citations