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We study the Bloch oscillation dynamics of a spin-orbit-coupled cold atomicgas trapped inside a one-dimensioanl optical lattice. The eigenspectra of thesystem is identified as two interpenetrating Wannier-Stark ladder. Based onthat, we carefully analyzed the Bloch oscillation dynamics and found out thatintraladder coupling between neighboring rungs of Wannier-Stark ladder giverise to ordinary Bloch oscillation while interladder coupling lead to smallamplitude high frequency oscillation superimposed on it. Specificallyspin-orbit interaction breaks Galilean invariance, which can be reflected byout-of-phase oscillation of the two spin components in the accelerated frame.The possibility of generating spin current in this system are also explored.

Bloch oscillations of spin-orbit-coupled cold atoms in an optical lattice and spin current generation