The Sagnac Effect in Optical Lattices with Laser-Assisted Tunneling

We propose a scheme to realize the rotation sensing using optical lattices with laser-assisted tunneling. We demonstrate that the competition between the rotation and the spin-orbit coupling governs the spin-dependent response of the cyclotron dynamics of the spin-orbit coupled bosons. The Sagnac-type cumulative phase can be read out from the envelop of a beat-frequency particle current in the spin-balanced system and enhanced by the cyclotron motion. We also theoretically show that the sensitivity limit of the spin-orbit-coupled system to the rotational motion can reach 7*10^-8 rad s^-1 Hz^1/2.