Phase properties of superposition of pair-coherent states

In this article we discuss the phase properties of the superposition of pair-coherent states in the framework of Pegg-Barnett formalism. We also investigate the behaviour of Wigner and Weyl functions for the single-mode case. We show for specific modes and quantities that even-pair-coherent states can map onto odd-pair-coherent states and vice versa based on the values of the degeneracy parameter. Also we discuss the possibility of using the Weyl function to describe the phase distribution as a new tool in quantum optics. © 2001 Elsevier Science B.V. All rights reserved.