Nonclassical properties of a non-degenerate parametric amplifier

Nonclassical properties of electromagnetic radiation propagating through a non-degenerate parametric amplifier (NDPA) are investigated. A complete quantum mechanical description is being used to describe the system. Under rotating wave approximation, the exact analytical solutions of the Heisenberg's equations of motion for signal and idler modes are used to investigate the existence of various nonclassical properties of the radiation fields. These nonclassical properties include squeezing, intermodal entanglement and antibunching. The analytical results confirm the presence of these nonclassical properties for both the input composite number and coherent states. In addition, mixed mode squeezing is observed for input pair coherent states in both the quadratures. The analytical results are compared with their numerical counterpart obtained by QuTiP. The perfect matching of these results justifies the correctness of the analytical results.

Automated summary

This paper investigates the nonclassical properties of electromagnetic radiation propagating through a non-degenerate parametric amplifier (NDPA), including squeezing, intermodal entanglement, and antibunching. Using a complete quantum mechanical description and analytical solutions of the Heisenberg's equations of motion, the existence of these nonclassical properties is confirmed for various input states. The analytical results are compared with numerical results to validate their correctness.