We propose a scheme to generate bright non-Gaussian quantum steering via a four-wave mixing process, which employs four-level atoms confined in an optical ring cavity working above threshold. For analyzing the quantum steering correlations of the system, we adopt numerical simulations based on the quantum random trajectory method within the Wigner representation. Our results verify the existence of non-Gaussian quantum steering between the Stokes and anti-Stokes beams, and we further explore the influence of various parameters on such steering. Furthermore, analyzing the second-order correlation function of the optical field demonstrates that the non-Gaussian steering in this scheme can serve as a highly promising resource for the development of single-photon sources. Overall, our scheme provides a feasible route to generating bright non-Gaussian steering and exhibits considerable potential for applications in quantum information processing and single-photon source development.

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• Quantum correlations in quantum information
• Quantum entanglement
• Quantum optics
• Atomic ensemble