Four Wave Mixing (FWM) process has shown promise in quantum optics for the generation of the non-classical state. In this paper, we are considering the non-degenerate four-wave mixing process. This process gives rise due to the interaction of the radiation field with the third-order nonlinear media. In our present study, we used the fully quantum mechanical bosonic Hamiltonian to describe the non-degenerate four-wave mixing process. Heisenberg’s equations of motion for various modes involving pump, signal and idler have been constructed. These equations are coupled with nonlinear differential equations and are exactly unsolvable in closed analytical form. In order to solve these coupled nonlinear differential equations, we use the perturbative technique given by Sen-Mandal [1-6] and the solutions obtained using this approach are more general than the ones obtained for the same system using a well-known short-time approximation. These solutions have been used to study the intermodal entanglement of the non-degenerate four-wave mixing process using Hillery-Zubairy criteria [7-8]. It is found that the non-degenerate four-wave mixing process could be a good resource for producing intermodal entanglement.
What will audience learn from your presentation?
? The audience interested in entanglement (non classical phenomena) in four-wave mixing may be benefited from my talk.
? The young researchers in this field of non classical phenomena will get ideas how to work and what are the different ways to study the non classicality.
? I will also discuss some other phenomena like Zeno, Anti Zeno effect and perturbative approaches to deal coupled non linear differential equations that might help researchers in this field.