Abstract
<jats:p>We investigate photon-photon entanglement via the Duan criterion within a three-level closed-loop system embedded in an ensemble of quantum dot molecules (QDMs). In this configuration, one of the interacting quantum modes is treated as a structured quantized field carrying a helical wavefront (Laguerre-Gaussian mode). We demonstrate that the resulting quantum entanglement exhibits a highly non-uniform spatial distribution across the transverse plane of the QDM ensemble. Due to the phase-sensitive nature of the closed-loop system, this spatial profile is strongly modulated by both the magnitude and sign of the orbital angular momentum (OAM) carried by the quantum mode. Our numerical results reveal that the entanglement pattern can be tailored from a uniform circular distribution into discrete multi-lobe structures. This precise spatial engineering of quantized photon entanglement opens up new avenues for high-dimensional quantum cryptography, spatially-multiplexed quantum communications, and the development of solid-state high-capacity quantum memories.</jats:p>