Pairing Correlations and Separability Conditions in Identical Particle Systems

TL;DR

This paper extends a pairing correlation approach from fermionic to bosonic systems, establishing separability bounds and witness criteria for quantum correlations in identical particles.

Contribution

It introduces a novel extension of pairing correlation methods to bosonic systems and develops new separability bounds and witness criteria.

Findings

Extended pairing correlation approach to bosons.

Derived separability bounds for bosonic systems.

Proposed witness operators for detecting quantum correlations.

Abstract

Quantum correlations and entanglement in identical-particle systems have been a puzzling question which has attracted vast interest and widely different approaches. A novel approach is introduced by Kraus \emph{et al.}, [Phys. Rev. A \textbf{79}, 012306 (2009)] based on pairing correlations in fermionic systems and the use of witness formalism to detect pairing. In this contribution, this approach has been extended to bosonic systems and separability bounds based on pairing correlations for fermions and bosons have been obtained. A two-particle annihilation operator is used for constructing a two-particle observable as a candidate witness. Two different types of separability definition is introduced for bosonic systems and the separability bounds associated with each type are discussed.