Plots of the equilibrium vortex numberN_vand the critical rotating frequencyΩ_c/ωfor conventional BECs withβ= 100 andε_dd= 0.8: (a)θ= 0°, (b)θ= 30°, (c)θ= 60°, (d)θ= 90°. The black and red lines represent the results of synthetic magnetic field and rotating frame, respectively.