  The recently realized spin-orbit coupled quantum gases (Y.-J Lin {\it et
al}., Nature 471, 83-86 (2011); P. Wang {\it et al}., PRL 109, 095301 (2012);
L. W. Cheuk {\it et al}., PRL 109, 095302 (2012)) mark a breakthrough in the
cold atom community. In these experiments, two hyperfine states are selected
from a hyperfine manifold to mimic a pseudospin-1/2 spin-orbit coupled system
by the method of Raman dressing, which is applicable to both bosonic and
fermionic gases. In this work, we show that the method used in these
experiments can be generalized to create any large pseudospin spin-orbit
coupled gas if more hyperfine states are coupled equally by the Raman lasers.
As an example, we study in detail a quantum gas with three hyperfine states
coupled by the Raman lasers, and show when the state-dependent energy shifts of
the three states are comparable, triple-degenerate minima will appear at the
bottom of the band dispersions, thus realizing a spin-1 spin-orbit coupled
quantum gas. A novel feature of this three minima regime is that there can be
two different kinds of stripe phases with different wavelengths, which has an
interesting connection to the ferromagnetic and polar phases of spin-1 spinor
BECs without spin-orbit coupling.
