Figure 1:
Energy levels of an atom with a total spin F=1 containing three ground states with different spin projections m_{F}=0,±1. Two counter-propagating laser beams induce Raman transitions between these states via the absorption (emission) of a photon with a wave vector k_{r} from one beam, and emission (absorption) of a photon from another beam with the opposite wave vector k_{r′}≈-k_{r}. The laser beams couple the atomic states |m_{F},k〉 differing in the spin projection Δm_{F}=1 and the linear momentum Δk=2k_{r} , the latter 2k_{r} describing the two-photon recoil kick . This leads to the formation of the dressed states representing a superposition of the atomic states with the different spin projections and different center-of-mass momenta. If the dressed states have a spatial dependence in the direction orthogonal to k_{r}, the atomic motion in that direction will be accompanied by transverse recoil kicks due to the population redistribution in the spin components comprising the dressed state. This will simulate the Lorentz force. A more detail discussion on the semiclassical interpretation of the light-induced artificial Lorentz force is presented in Ref. [20].