Squeezing Properties of Even Coherent States in a Finite-Dimensional Hilbert Space

Even coherent states (ECSs) of a finite-dimensional Hilbert space harmonic oscillator (FDHSHO) are constructed explicitly. Some properties of them are discussed. The quadrature squeezing and the amplituded-squared squeezing of these states are investigated in detail. It is found that ECSs of the FDHSHO exhibit not only the quadrature squeezing but also the amplituded-squeezing.