Influence of the Fermionic Exchange Symmetry beyond Pauli's Exclusion Principle

TL;DR

This paper introduces a measure based on generalized Pauli constraints to quantify how fermionic exchange symmetry influences one-particle properties beyond the traditional Pauli exclusion principle, confirmed through a simple model.

Contribution

It develops a new geometric measure to assess the impact of generalized Pauli constraints on fermionic systems, extending understanding beyond Pauli's exclusion principle.

Findings

The measure confirms the physical relevance of generalized Pauli constraints.

Fermionic exchange symmetry influences the one-particle picture beyond Pauli's exclusion.

The measure distinguishes between static and dynamic correlations.

Abstract

Pauli's exclusion principle has a strong impact on the properties of most fermionic quantum systems. Remarkably, the fermionic exchange symmetry implies further constraints on the one-particle picture. By exploiting those generalized Pauli constraints we derive a measure which quantifies the influence of the exchange symmetry beyond Pauli's exclusion principle. It is based on a geometric hierarchy induced by the exclusion principle constraints. We provide a proof of principle by applying our measure to a simple model. In that way, we conclusively confirm the physical relevance of the generalized Pauli constraints and show that the fermionic exchange symmetry can have an influence on the one-particle picture beyond Pauli's exclusion principle. Our findings provide a new perspective on fermionic multipartite correlation since our measure allows one to distinguish between static and dynamic correlations.