  We study the odd integer filled Mott phases of a spin-1 Bose-Hubbard chain
and determine their fate in the presence of a Raman induced spin-orbit coupling
which has been achieved in ultracold atomic gases; this system is described by
a quantum spin-1 chain with a spiral magnetic field. The spiral magnetic field
initially induces helical order with either ferromagnetic or dimer order
parameters, giving rise to a spiral paramagnet at large field. The spiral
ferromagnet-to-paramagnet phase transition is in a novel universality class,
with critical exponents associated with the divergence of the correlation
length $\nu \approx 2/3$ and the order parameter susceptibility $\gamma \approx
1/2$. We solve the effective spin model exactly using the density matrix
renormalization group, and compare with both a large-$S$ classical solution and
a phenomenological Landau theory. We discuss how these exotic bosonic magnetic
phases can be produced and probed in ultracold atomic experiments in optical
lattices.
