Combined effects of particle interaction and nonlinear sweep on Landau-Zener transition

► Combined effects of two types of nonlinearity on Landau-Zener transition are studied. ► Interference phenomenon fades out as particle interaction increases in slow sweep regime. ► Asymmetry of transition probability happens in intermediate sweep regime. ► Breakdown of adiabaticity is observed in adiabatic limit. ► Potential application is suggested.