Synthetic Landau levels and spinor vortex matter on Haldane spherical surface with magnetic monopole

Understand

We present a flexible scheme to realize exact flat Landau levels on curved spherical geometry in a system of spinful cold atoms.

• This is achieved by Floquet engineering of a magnetic quadrupole field.
• We show that a synthetic monopole field in real space can be created.
• We prove that the system can be exactly mapped to the electron-monopole system on sphere, thus realizing Haldane's spherical geometry for fractional quantum Hall physics.