Wigner functions of thermo number state, photon subtracted and added thermo vacuum state at finite temperature

TL;DR

This paper introduces a new method using thermo field dynamics to derive exact Wigner functions for various thermo states, revealing their relation to Gaussian-Laguerre functions and analyzing their statistical properties.

Contribution

The paper presents a novel approach to derive exact Wigner functions of thermo states using thermo field dynamics and Weyl operator invariance, linking them to Gaussian-Laguerre functions.

Findings

Wigner functions are expressed in terms of Gaussian-Laguerre functions.

The statistical properties of these Wigner functions are analyzed.

The method provides exact solutions for thermo number, photon subtracted, and added thermo vacuum states.

Abstract

Based on Takahashi-Umezawa thermo field dynamics and the order-invariance of Weyl ordered operators under similar transformations, we present a new approach to deriving the exact Wigner functions of thermo number state, photon subtracted and added thermo vacuum state. We find that these Wigner functions are related to the Gaussian-Laguerre type functions of temperature, whose statistical properties are then analysed.