  We investigate magnetic phase in the bilayer system of ultra-cold bosons in
an optical lattice, which is involved with Raman-induced spin-orbit (SO)
coupling and laser-assisted interlayer tunneling. It is shown that there exit a
rich of spin textures such as hetero ferromagnet, heterochiral magnet, chiral
magnet with interlayer antiferromagnet. In particular, heterochiral magnet
induced by SO coupling occurs extremely rarely in real solid-state materials.
We present detailed experimental setup of realizing such a model in cold atom
system.
