A two-mode squeezed light based on a double-pump phase-matching geometry

He Xuan-Jian¹, Jia Jun¹, Jiao Gao-Feng¹, Chen Li-Qing^{1, †}, Yuan Chun-Hua^{1, 3, ‡}, Zhang Wei-Ping^{2, 3}

(a) The wavevectors k_P₁ and k_P₂ are projected onto the axis as 2k_{P_Z}. The angles between the k_{P_Z} and the pump fields k_P₁ and k_P₂ are θ_z1 and θ_z2, respectively. (b) The configuration in which the geometric phase matching condition (GPMC) is fulfilled. The configuration in which the effective phase matching condition (EPMC) is fulfilled for an effective index of refraction of the probe (c) n_p > 1 and (d) n_p < 1, with necessary geometric mismatches of (c) Δk_z > 0 and (d) Δ k_z < 0, respectively.