Nonclassicality of two-mode nonorthogonal states

Nonclassical features of Schrodinger cat state with two-mode superposition state based on two coherent states pi out of phase by fixing the relative phase equal to average photon number are discussed. Study of two-mode quadrature squeezing, oscillatory and sub-Poissonian photon statistics show that nonclassicality exists for these states. However, it is observed that the considered states do not violates the Cauchy-Schwarz inequality. Furthermore, simultaneously existence of quadrature squeezing and sub-Poissonian photon statistics shows that these states have more nonclassical features than that of famous even and odd coherent states. (C) 2011 Elsevier GmbH. All rights reserved.