  Two-dimensional (2D) multiferroic materials are ideal systems for exploring
new coupling mechanisms between different ferroic orders and producing novel
quantum phenomena with potential applications. We employed first-principles
density functional theory calculations to discover intrinsic ferroelectric and
anti-ferroelectric phases of CrPSe$_3$, which show ferromagnetic order and
compete with the centrosymmetric phase with an antiferromagnetic order. Our
analysis show that the electrical dipoles of such type-I multiferroic phases
come from the out-of-plane displacements of phosphorus ions due to the
stereochemically active lone pairs. The coupling between polar and magnetic
orders creates the opportunity for tunning the magnetic ground state by
switching from the centrosymmetric to the ferroelectric phase using an
out-of-plane electric field. In ferroelectric and antiferroelectric phases, the
combination of easy-plane anisotropy and Dzyaloshinskii-Moriya interactions
(DMI) indicate they can host topological magnetic vortices like meron pairs.
