Quantized nonlinear Gaussian-beam dynamics: Tailoring multimode squeezed-light generation
R. Nicholas Lanning, Zhihao Xiao, Mi Zhang, Irina V. Novikova, Eugeniy E. Mikhailov, Jonathan P. Dowling · Physical Review A · 2018
We present a general, second quantization procedure for multitransverse-spatial-mode Gaussian-beam dynamics in nonlinear interactions. Previous treatments have focused on the spectral density and angular distribution of spatial modes. Here we go a layer deeper by investigating the complex transverse spatial mode in each angular spatial mode. Furthermore, to implement the theory, we simulate four-wave mixing and parametric down-conversion schemes, showing how one can elucidate and tailor the underlying multitransverse-spatial-mode structure along with its quantum properties.