The effects of q-deformed Rosen–Morse potential on the behaviour of interacting BEC systems

In this study, the effects of q-deformed Rosen–Morse potential, particle number and interaction types (two-body, three-body and higher-order (HO) interactions) on Bose–Einstein condensate (BEC) were investigated. The wave functions, which are the solutions of the Gross–Pitaevskii (GP) equation for different conditions, and energies with Shannon information entropies of the BEC systems were calculated, considering attractive interactions between particles. It is found that q-deformed potential values, particle number and interaction types have significant effects on the main dynamics of the systems, while it is found that the high number of particles in the system is more effective than the interactions between the particles, especially, HO interaction is the dominant factor rather than the q deformation value. Also, the change in the entire dynamics of the systems starts around q = 0.1 because the trap potential becomes anti-symmetric at this value.