Approximative Wigner function for the Helium atom and dissipation

TL;DR

This paper employs phase space Schrödinger equation to approximate the Wigner function of the Helium atom, analyzing dissipation effects and non-classicality indicators to understand quantum behavior in a dissipative environment.

Contribution

It introduces an approximation method for the Helium atom's Wigner function using phase space Schrödinger equation and studies dissipation effects on non-classicality.

Findings

Dissipation reduces non-classicality of the Helium atom's state.

The non-classicality indicator varies with dissipation parameter.

Approximate Wigner function provides insights into quantum dissipation effects.

Abstract

The Schr\"odinger equation in phase space is used to calculate the Wigner function for the Helium atom in the approximation of a system of two oscillators. Dissipation effect is analysed and the non-classicality of the state is studied by the non-classicality indicator of the Wigner function, which is calculated as a function of the dissipation parameter.