New Even and Odd Nonlinear Coherent States and Their Nonclassical Properties

In this paper, a new kind of even and odd nonlinear coherent states (NLCSs) are introduced. Some nonclassical properties of the states are investigated. It has been found that the new even and odd NLCSs exhibit quadrature squeezing and amplitude-squared squeezing in the Y ₂ direction, however the new odd NLCSs only display sub-Poissonian behaviour. The results show that the nonclassical properties of the new even and odd NLCSs are rather different from those of the usual even and odd coherent states and NLCSs. PACS numbers:42.50.-p, 03.65.-w