Even and odd trio coherent states: number distribution, squeezing and realization scheme

Abstract

We study number distribution and two kinds of multimode higher-order squeezing in the even and odd trio coherent states which are new types of multimode Schrödinger cat states. We show that, unlike the trio coherent state, these cat-type states possess oscillatory number distribution and odd-order sum-squeezing. The even and odd trio coherent states are also more favorable for three-mode quadrature-squeezing than the trio coherent state is. Finally, we propose an experimental scheme to realize the cat states employing cavity QED phenomena.