Influence of the fermionic exchange symmetry beyond Pauli's exclusion principle

Journal article

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 perspective on fermionic multipartite correlation since our measure allows one to distinguish between static and dynamic correlations.

Authors: Tennie, F; Vedral, V; Schilling, C

• Publication status: Published
• Peer review status: Peer reviewed
• Publisher: American Physical Society
• Journal: Physical Review A: Atomic, Molecular and Optical Physics
• Volume: 95
• Issue: 2
• Pages: 022336
• Publication date: 2017-02-01
• Acceptance date: 2017-02-09
• DOI: 10.1103/PhysRevA.95.022336
• ISSN: 1094-1622
• Keywords: Article