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Entanglement Theory Quantum Correlations

Spin correlations and entanglement in partially magnetised ensembles of fermions

arXiv
Authors: Guillaume S. Thekkadath, Liang Jiang, Joseph H. Thywissen

Year

2015

Paper ID

27784

Status

Preprint

Abstract Read

~2 min

Abstract Words

95

Citations

N/A

Abstract

We show that the singlet fraction ps and total magnetisation (or polarisation) m can bound the minimum concurrence in an ensemble of spins. We identify ps > \(1-m2\)/2 as a sufficient and tight condition for bipartite entanglement. Our proof makes no assumptions about the state of the system or symmetry of the particles, and can therefore be used as a witness for spin entanglement between fermions. We discuss the implications for recent experiments in which spin correlations were observed, and the prospect to study entanglement dynamics in the demagnetisation of a cold Fermi gas.

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  • This paper contributes to the Entanglement Theory & Quantum Correlations research area in the Quantum Articles archive.
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  • We show that the singlet fraction ps and total magnetisation (or polarisation) m can bound the minimum concurrence in an ensemble of spins.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1508.03570 [2] arXiv https://arxiv.org/abs/1508.03570 [3] Publisher https://arxiv.org/abs/1508.03570

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