Generation of an Enhanced Multi‐Mode Optomechanical‐Like Quantum System and Its Application in Creating Hybrid Entangled States

Realizing strong optomechanical interaction at a few-photon level is one of the most significant tasks in optomechanical physics. In this paper, an efficient approach to realize an enhanced optomechanical-like coupling in a cross-Kerr-type coupled three-mode optical cavity system via a driving field is presented. It is shown that the optomechanical-like coupling can be strongly enhanced to enter the ultrastrong-coupling regime, and the effects of cavity field damping can be effectively restrained by adjusting the driving field and the cavity frequencies. In addition, as an application of the enhanced multimode optomechanical-like quantum system, a scheme is propsed to deterministically generate a hybrid Greenberger-Horne-Zeilinger state. Numerical simulation reveals that the scheme is reliable and robust against various dissipation effects and the fluctuations of control parameters in current technology. This work has potential applications in quantum information processing and paves the way for the study of multimode optomechanical systems.