Chaotic Bohmian trajectories and the role of quantum potential in rational frequencies system

Abstract Bohmian mechanics is an alternative formulation of quantum mechanics that maintains the notion of a well-defined trajectory governed by the wave function. The extra potential in this framework called quantum potential plays an important role in determining the dynamics of the Bohmian trajectory. In this study, we examine numerically the characteristics of a rational frequency system near a moving nodal point and how quantum potential plays an important role in generating chaotic motion for a specific mixture of wavefunction amplitudes. We show the transition from a regular to a chaotic trajectory when there is an abrupt change of quantum potential near the nodal point. This phenomenon occurs in the centre where the value of quantum potential is much higher than classical potential.