Rotating spin-1/2 Bose–Einstein condensates in a gradient magnetic field with spin–orbit coupling

Ji-Guo Wang,Yue-Qing Li

Figure 3. The ground-state density profiles of spin–orbit coupled spin-1/2 BECs in a harmonic plus quartic trap with gradient magnetic field. The SOC strength γ = 2 and rotation strength ω = 1.4. The columns in every panel from the left to right are the densities of spin-$\uparrow $ component, spin-$\downarrow $ component, total and difference. The magnetic field gradient strengths in (a)–(f) are: B = 0, 4, 7, 7.5, 11 and 30, respectively.