Derivation of Conservation Laws in 2nd order Quantum-Correlation Theory

TL;DR

This paper extends quantum correlation theory to second-order tensors, exploring conserved quantities like energy and momentum, and highlighting the dynamic behavior of quantum correlations in optical experiments.

Contribution

It introduces a second-order quantum correlation framework and analyzes conserved quantities, advancing understanding of quantum correlations in optical fields.

Findings

Identification of conserved energy, momentum, and angular momentum in second-order quantum correlations.

Analysis of the dynamic behavior of quantum correlations in optical experiments.

Extension of foundational quantum correlation concepts to higher-order tensors.

Abstract

This paper extends the foundational concept to second-order quantum correlation tensors, representing intensity-intensity correlations.As their application in diverse optical field experiments gaining importance, we investigate conserved quantities such as energy, linear and angular momentum and illuminate the dynamic nature of quantum correlations.