Enhanced Entanglement and Controlling Quantum Steering in a Laguerre–Gaussian Cavity Optomechanical System with Two Rotating Mirrors

Gaussian quantum steering is a type of quantum correlation in which two entangled states exhibit asymmetry. An efficient theoretical proposal is presented for the control of quantum steering and enhancement of entanglement in a Laguerre–Gaussian (LG) cavity optomechanical system. The system contains two rotating mirrors and a coherently driven optical parametric amplifier (OPA). The numerical results show significantly improved mirror‐mirror and mirror‐cavity entanglements by controlling the system parameters such as parametric gain, parametric phase, and the frequency of the two rotating mirrors. In addition to bipartite entanglement, our system also exhibits mirror‐cavity‐mirror tripartite entanglement as well. Another intriguing finding is the control of quantum steering, for which several results were obtained by investigating it for various system parameters. It is shown that the steering directivity is primarily determined by the frequency of two rotating mirrors. Furthermore, for two rotating mirrors, quantum steering is found to be asymmetric both one‐way and two‐way. Therefore, it can be asserted that the current proposal may help in the understanding of non‐local correlations and entanglement verification tasks. An efficient scheme is presented for controlling quantum steering and enhancing entanglements in a Laguerre–Gaussian (LG) cavity optomechanical system containing two rotating mirrors and an optical parametric amplifier (OPA) driven by coherent light. The OPA directly affects the bipartite and tripartite entanglements. Furthermore, the steering directivity is primarily determined by the frequency of two rotating mirrors.