Entangled State Representation for Four-Wave Mixing

Hong-Yi Fan, Nian-Quan Jiang

马善钧

A. Bandilla, G. Drobný, Igor Jex

Ma Shan-Jun, Lu Hai-Liang, Fan Hong-Yi

We introduce the entangled state representation to describe the four-wave mixing. We find that the four-wave mixing operator, which engenders the correct input-output field transformation, has a natural representation in the entangled state representation. In this way, we see that the four-wave mixing process not only involves squeezing but also is an entanglement process. This analysis brings convenience to the calculation of quadrature-amplitude measurement for the output state of four-wave mixing process.

Ma Shan-Jun

We analyse the optical four-wave mixing operator S and relate it to the two-mode Fresnel operator. It is shown that the direct product of the two-mode Fresnel operator and the single-mode Fresnel operator has a natural representation on the basis of a three-mode entangled state, which is constructed by S and a beam splitter transform.

Xiang‐Guo Meng, Ji‐Suo Wang, Bao‐Long Liang