Figure 4
From: Dressed state dynamics of two-component Bose-Einstein Condensates in state-dependent potentials

The normal-to-MQST phase transition of dressed states for interacting BEC. (a–c) The simulation results via the CGPEs [Eq. (5)]. (a) Josephson oscillations. (b), (c) MQST appears as the interaction strength increases. The initial state is set as the localized state of the right well of the lower dressed potential, namely Ψ−(x, t = 0) = ϕ1(x) and Ψ+(x, t = 0) = 0, see Fig. 1(b) (I). The figures in the first (second) row denote the time evolution of the density profiles for upper (lower) dressed state, labeled by \({{\rm{\Psi }}}_{+}\)(\({{\rm{\Psi }}}_{-}\)). The normal-to-MQST transition happens when interaction strength is approximately gN = 0.018. (d–f) The simulation results obtained by the decoupled equations [Eq. (7)]. For this method, the normal-to-MQST transition happens when interaction strength is between gN = 0.018 and gN = 0.02. Other parameters: atom number N = 10000, potential separation x0 = 3, and coupling strength Ω = 3.