  The recent experimental realization of spin-orbit coupling for ultracold
atomic gases provides a powerful platform for exploring many interesting
quantum phenomena. In these studies, spin represents spin vector (spin-1/2 or
spin-1) and orbit represents linear momentum. Here we propose a scheme to
realize a new type of spin-tensor--momentum coupling (STMC) in spin-1 ultracold
atomic gases. We study the ground state properties of interacting Bose-Einstein
condensates (BECs) with STMC and find interesting new types of stripe
superfluid phases and multicritical points for phase transitions. Furthermore,
STMC makes it possible to study quantum states with dynamical stripe orders
that display density modulation with a long tunable period and high visibility,
paving the way for direct experimental observation of a new dynamical
supersolid-like state.. Our scheme for generating STMC can be generalized to
other systems and may open the door for exploring novel quantum physics and
device applications.
