One-Step Generation of energy-Time-Polarization-Hyper-Entangled W-Class Triphotons: Nonlinear and Linear Optical Responses

Nonclassical multiphoton have attracted extensive attention to serve as entangled resources for quantum information technology. Here, the continuous-mode hyper-entangled W-class triphotons are theoretically generated through spontaneous six-wave mixing (SSWM) in ⁸⁵Rb. In nonlinear optical response, Zeeman sub-states are high-dimensionally quantized by polarized dressing. High-dimensional entanglement is structured via atomic non-Hermitian nature. Through linear optical response, the temporal correlations are shaped via diverse polarized dressing. SSWM-based triphoton is a genuine triphoton possessing non-Gaussian tripartite entanglement. The high production rate is due to co-action of three strong input fields, electromagnetically induced transparency (EIT) protection, and slow light effect. Non-Hermitian nature endows the system with sensitive adjustability around exceptional points (EP). Eventually, the results demonstrate multiple SSWMs causing oscillations with multiple periods in three-photon temporal correlations for the nonlinear region, build a high-dimensional three-body entangled quantum network and transform multifarious profiles of the three-photon temporal correlations for the linear region. Especially, both high-dimensional and hyper entanglements are obtained, contributing to high quantum information capacity. Further, the system is switched among multiple states when non-Hermitian nature is manipulated by polarized dressing. The research opens a broad prospect for generating the hyper-entangled multiphoton with potential application in adjustable quantum networks of high information capacity. © 2023 Wiley-VCH GmbH.