Effects of Non-Hermitian Bilayer Medium on the Second-Order Coherence of the Transmitted Coherent and Number States

We investigate the propagation of the normal two-photon number state and coherent state of light through a dispersive non Hermitian bilayer structure composed of gain and loss layers, particularly at a discrete set of frequencies for which this structure holds PT symmetric. We reveal how dispersion and gain/loss-induced noises in such a bilayer structure affect the antibunching property of the incident light. For this purpose, we have calculated the second-order coherence of the output state of the bilayer. Varying the loss layer coefficient, we show that the antibunching property of the incident light only retains to some extent, for small values of loss coefficient for the transmitted number state.