A Measure of Non-Classicality of Even and Odd Coherent States

A measure of non-classicality of even and odd coherent states is studied. We first calculate the Wigner functions of the even and odd coherent states, which consists of two terms: the positive-definite Gaussian term and the wave term with negativity, and then calculate the integrated value ε_max of the wave term of the Wigner functions of the even and odd coherent states in their area with negativity, and use ε_max to measure non-classicality of the even and odd coherent states. For the even and odd coherent states with certain photon count, it is very convenient for us to use ε_max to measure their non-classicality. The methods of our definition and calculation for ε_max have theoretical reference value.