Angular-momentum nonclassicality by breaking classical bounds on statistics

TL;DR

This paper introduces straightforward methods to demonstrate the quantum nature of angular momentum by violating classical statistical bounds, enabling simple and definitive nonclassicality tests independent of other quantum signatures.

Contribution

It presents practical procedures for detecting nonclassical angular momentum behavior through violation of classical bounds, avoiding complex data analysis.

Findings

Violations of classical bounds indicate quantum behavior

Tests are simple, data-efficient, and independent of other quantum signatures

Applicable to various quantum systems with angular momentum variables

Abstract

We derive simple practical procedures revealing the quantum behavior of angular momentum variables by the violation of classical upper bounds on the statistics. Data analysis is minimum and definite conclusions are obtained without evaluation of moments, or any other more sophisticated procedures. These nonclassical tests are very general and independent of other typical quantum signatures of nonclassical behavior such as sub-Poissonian statistics, squeezing, or oscillatory statistics, being insensitive to the nonclassical behavior displayed by other variables.