A detailed discussion of a type of four-component superposition of squeezed
displaced Fock states (SDFSs) is presented. These states, often called Sch
rodinger cat states for the coherent states, are of great interest at prese
nt. The s-parameterized characteristic function (CF) and the quasi-probabil
ity distribution functions (QDFs) of these states are calculated. The non-c
lassical properties of these states such as photon number distribution and
squeezing are discussed. The quadrature distributions are illustrated. The
Pegg-Barnet phase distribution is discussed. A generation scheme is propose
d for these states. (C) 2001 Elsevier Science Ltd. All rights reserved.