We present the measurement of entanglement between twin beams generated with a doubly resonant optical parameter oscillator (OPO) based on four-wave mixing in hot ${}^{85}\mathrm{Rb}$ vapor above threshold. This is the first measurement of entanglement in an OPO with a ${\chi }^{(3)}$ media above threshold. We reconstruct the covariance matrix for several configurations and based on a full picture of the four side band mode state, we study entanglement between all possible bipartitions. We show a robust generation of entanglement with stronger generation for a specific pair of modes. For this system, we show that atomic density is a determinant factor for the generation and loss of quantum correlations. The generation of entangled fields with an atomic OPO operating close to atomic resonance of alkali atoms enables a natural integration into quantum networks.

• Received 26 April 2022
• Accepted 14 September 2022

DOI:https://doi.org/10.1103/PhysRevLett.129.163601