Title : Two-mode squeezed states in four wave mixing process
Abstract:
Non-classicality refers to a property of quantum states which has no classical analogue. Quantum squeezing is one of the examples of a non-classical state which has a wide range of applicability. Light is said to be in a squeezed state if it has a quantum uncertainty of certain pairs of observables is reduced below the limit imposed by Heisenberg uncertainty. Squeezed light is usually achieved through the reduction of amplitude fluctuations in a coherent state or vacuum state by using certain optical nonlinear interactions. In our present study, we propose a four-wave mixing process for obtaining two-mode squeezed states. Interaction of the radiation field with the third-order nonlinear optical media gives rise to the four-wave mixing process. Here totally quantum mechanical bosonic Hamiltonian is used. Heisenberg’s equations of motion for various modes involving pump, signal and idler are constructed. These equations are coupled nonlinear differential equations and are not exactly solvable in closed analytical form. Hence, the Sen-Mandal perturbative technique [1-6] is used in order to solve these coupled nonlinear differential equations and the solutions obtained by this approach are more general than the well-known short-time approximation method. These solutions are exploited to study the intermodal squeezing of the four-wave mixing process. We have shown that there is a possibility of finding the squeezed states for different experimentally realizable parameters. It is reported that the four-wave mixing process is a good resource for producing intermodal squeezing.
