Coherent control of orbital angular momentum four-wave mixing signal

Abstract The coherent control of Orbital Angular Momentum Four-Wave mixing (OAM-FWM) signal in a cascaded three-level atomic systems by multiple parameters of incident lights are studied. Firstly, based on the Laguerre-Gaussian (LG) beam, the expressions of the FWM intensity and phase loaded with OAM were derived by solving the density matrix equation in the steady state. Then, through coordinate transformation, the spatial distribution construction of the OAM-FWM signal was completed. And its spatial structure of intensity and phase distribution are investigated respectively. It is shown that the Rabi frequency and detuning can effectively control the output OAM-FWM signal. Finally, we further study the phase distribution of multiple topological charge (TC) numbers in the FWM process considering the conservation of OAM. As a result, the signal can also be regulated by multiple TC numbers. The constructed OAM-FWM signal that has enhanced the information storage capacity, could be widely used in optical communication and quantum information research.