Structured Spatial Quantum Correlation in Bright Squeezed Light

Quantum correlations in the spatial domain offer significant potential for applications in quantum imaging, cryptography, and information processing. We investigate structured spatial quantum correlations in bright squeezed light generated through four-wave mixing in hot atomic vapor, with structuring achieved by incorporating Laguerre-Gaussian (LG) modes into the process. A key feature of the resulting twin LG beams is their self-healing ability, demonstrated through the robust reconstruction of both spatial intensity profiles and topological charge after obstruction. We further explore how transverse spatial quantum correlations evolve from the near field to the far field. Notably, the use of an LG-structured pump induces a transition from localized correlations in the near field to delocalized correlations in the far field—behavior that contrasts sharply with systems using a Gaussian pump. These findings highlight the unique advantages of spatially structured light in tailoring quantum correlations for quantum technologies.