Topological Hall Effect Of Spin-2condensate In A Time And Space-dependent Magnetic Field

Magnetic field is a powerful tool to control the spinor condensate due to the Zeeman coupling between the magnetic field and the spin angular momentum.Recently,a time and space-dependent magnetic field were used to manipulate the spinor condensates in experiments.The topological Hall effect in an antiferromagnetic ²³Na condensate and the Dirac monopole in a ferromagnetic spin-1 ⁸⁷Rb condensate were observed,respectively.In this paper we simulate the dynamics of spin-2 ⁸⁷Rb condensate in a time and space-dependent magnetic field with a time-dependent variational approach.The topological Hall effect is observed.A driving-induced resonance behavior is also observed.