Sub-Poissonian light in fluctuating thermal-loss bosonic channels

We study the photon statistics of a single-mode sub-Poissonian light propagating in the lossy thermal bosonic channel with fluctuating transmittance which can be regarded as a temperature-dependent model of the turbulent atmosphere. By assuming that the variance of the transmittance can be expressed in terms of the fluctuation strength parameter we show that the photon statistics of the light remains sub-Poissonian provided the averaged transmittance exceeds its critical value. The critical transmittance is analytically computed as a function of the input states’ parameters, temperature, and the fluctuation strength. The results are applied to study special cases of the one-mode squeezed states and the odd optical Shr¨odinger cats.