  We find an optical Raman lattice without spin-orbit coupling showing chiral
topological orders for cold atoms. Two incident plane-wave lasers are applied
to generate simultaneously a double-well square lattice and periodic Raman
couplings, the latter of which drive the nearest-neighbor hopping and create a
staggered flux pattern across the lattice. Such a minimal setup is can yield
the quantum anomalous Hall effect in the single particle regime, while in the
interacting regime it achieves the $J_1$-$J_2$-$K$ model with all parameters
controllable, which supports a chiral spin liquid phase. We further show that
heating in the present optical Raman lattice is reduced by more than one order
of magnitude compared with the conventional laser-assisted tunneling schemes.
This suggests that the predicted topological states be well reachable with the
current experimental capability.
