Extended Wigner function formalism for the spatial propagation of particles with internal degrees of freedom

TL;DR

This paper introduces an extended Wigner function formalism to model quantum dynamics of particles with internal degrees of freedom, enabling detailed simulations and visualization of entanglement and decoherence in spatially inhomogeneous fields.

Contribution

The paper presents a novel extended Wigner function approach for simulating and visualizing quantum entanglement and decoherence in particles with internal states.

Findings

Successfully simulates space-spin entanglement in molecular beam experiments

Provides graphical visualization of entanglement and decoherence processes

Enables quantitative analysis of quantum dynamics in inhomogeneous fields

Abstract

An extended Wigner function formalism is introduced for describing the quantum dynamics of particles with internal degrees of freedom in the presence of spatially inhomogeneous fields. The approach is used for quantitative simulations of molecular beam experiments involving space-spin entanglement, such as the Stern-Gerlach and the Rabi experiment. The formalism allows a graphical visualization of entanglement and decoherence processes.