Sub-Poissonian light in fluctuating thermal-loss bosonic channels

TL;DR

This paper investigates how sub-Poissonian light maintains its photon statistics when passing through a fluctuating thermal-loss bosonic channel, revealing conditions for preserving non-classical light properties.

Contribution

It analytically determines the critical transmittance threshold for sub-Poissonian light in fluctuating channels, extending understanding of quantum light behavior in turbulent atmospheres.

Findings

Photon statistics remain sub-Poissonian if average transmittance exceeds a critical value.

Critical transmittance depends on input state parameters, temperature, and fluctuation strength.

Results apply to squeezed states and odd Schrödinger cat states.

Abstract

We study the photon statistics of a single-mode sub-Poissonian light propagating in the temperature-loss bosonic channel with fluctuating transmittance which can be regarded as a temperature-dependent model of 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, the 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.