Abstract
We find an optical Raman lattice without spin-orbit coupling showing chiral
topological orders for cold atoms. Only 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
found interestingly to 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 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 chiral states be well
reachable with the current experimental capability.
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