Wigner functions in the Higher-Spin Einstein-Podolsky-Rosen-Bohm Experiment

TL;DR

This paper analyzes the Wigner function in a higher-spin EPR experiment, showing persistent non-classical features and oscillations as spin quantum number increases, offering insights into the quantum-classical transition.

Contribution

It extends the analysis of Wigner functions to higher spins in EPR experiments, demonstrating sustained non-classicality and oscillatory behavior at large quantum numbers.

Findings

Bell inequalities remain violated for all spin values.

Wigner function oscillations grow in frequency and amplitude with increasing spin.

Non-classical features persist even at large quantum numbers.

Abstract

The spin-$j$ extension of Bohm's version of the Einstein-Podolsky-Rosen experiment is is analysed in terms of the Wigner function when the two spins are in a singlet state. This function is calculated for all $j$, and it is shown that just as Bell inequalities are violated with undiminished range and magnitude for arbitarirly large $j$, this function does not become less negative. On the contrary, the oscillations between positive and negative values grow both in frequency and amplitude. It is argued that this is an alternative way to grasp the approach to classical behavior with increasing quantum number.