Abstract:In this paper, we propose a closed-loop three-energy-level system constructed based on microwave-field-assisted coupling, and use the density matrix equation to study the spatially correlated electromagnetically induced transparency effect under the coupling of a Laguerre-Gaussian beam with a microwave field. The results show that the absorption response of non-vortex-detected light can be modulated by controlling the optical orbital angular momentum, single-photon detuning, relative phase, and number of radial nodes: the modulation of the orbital angular momentum realizes the modulation of the absorption distribution of the bright-dark ring, the modulation of the single-photon detuning guides the transition of the structure from the ring to the petal, the control of the relative phase realizes the spatial rotational manipulation of the absorption distribution, and the variation of the number of radial nodes induces the evolution of the absorption distribution from centrosymmetric to multi-ring and angular symmetric structures. Together, these spatial modulation tools realize the precise manipulation of the spatially electromagnetic-induced transparency effect. This study provides a new idea for quantum information processing with controllable spatial structure and expands its potential application path in quantum communication and computation.