Photon--added squeezed thermal states: statistical properties and its decoherence in a photon-loss channel

TL;DR

This paper introduces photon-added squeezed thermal states (PASTS), analyzes their statistical properties, and examines their decoherence in photon-loss channels through the negativity of the Wigner function.

Contribution

It presents the first detailed analysis of PASTS, including their statistical characteristics and decoherence behavior in photon-loss environments.

Findings

Single photon-added PASTS have always partial negativity in their Wigner function.

The Wigner function of PASTS can be expressed analytically using Legendre polynomials.

Photon loss causes decoherence, reducing the negativity of the Wigner function over time.

Abstract

Using the normally ordered Gaussian form of displaced-squeezed thermal field characteristic of average photon number n, we introduce the photon-added squeezed thermo state (PASTS) and investigate its statistical properties, such as Mandel's Q-parameter, number distribution (as a Legendre polynomial), the Wigner function. We then study its decoherence in a photon-loss channel in term of the negativity of WF by deriving the analytical expression of WF for PASTS. It is found that the WF with single photon-added is always partial negative for the arbitrary values of n and the squeezing parameter r.