The macroscopic quantum phase of ultracold degenerate gases in the asymmetrical two-dimensional magnetic lattice

► Quantifying the macroscopic quantum phase (MQP) by simulating the dynamical Josephson oscillations (DJOs). ► Gravitational assisted tunneling can be induced to simulate the DJOs via magnetic bias fields in the 2D magnetic lattice. ► To realize the MQP a system of coupled time-dependent differential equations of Bosonic Josephson Junctions is solved.