Probability Nature of the Superposition of Coherent States

Chuan-hua Dong

Sun K. Hong

The completeness relation for the superposition pair coherent state is discussed.Based the phase operator and phase state introduced by Pegg and Barnett we study the phase probability distributions of the superposition pair coherent state and the numerical calculation.It is shown that the probability distributions of the superposition pair coherent state are regulated by the parameters of phase and superposition.

Kang Soo Lee, M. S. Kim

There have been theoretical studies for generation of optical coherent superposition states. Once the superposition state is generated it is natural to ask if it is possible to amplify it without losing the nonclassical properties of the field state. We consider amplification of the superposition state in various amplifiers such as a sub-Poissonian amplifier, a phase-sensitive amplifier and a classical amplifier. We show the evolution of phase probability distribution functions in the amplifier.

Anas Othman, David O. Yevick

Faisal A. A. El-Orany, Jan Peřina

Vladimír Bužek, P. L. Knight, A. Vidiella-Barranco

We investigate the nature of the quantum fluctuations in a light field created by the superposition of coherent fields. We give a physical explanation (in terms of Wigner functions and phase-space interference) why the 1-D superposition of coherent states in the direction of the x-quadrature leads to the squeezing of fluctuations in the y-direction, and show that such a superposition can generate the squeezed vacuum and squeezed coherent states.