English

Spin correlations and entanglement in partially magnetised ensembles of fermions

Quantum Physics 2016-10-11 v2 Quantum Gases

Abstract

We show that the singlet fraction psp_s and total magnetisation (or polarisation) mm can bound the minimum concurrence in an ensemble of spins. We identify ps>(1m2)/2p_s > (1-m^2)/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.

Keywords

Cite

@article{arxiv.1508.03570,
  title  = {Spin correlations and entanglement in partially magnetised ensembles of fermions},
  author = {Guillaume S. Thekkadath and Liang Jiang and Joseph H. Thywissen},
  journal= {arXiv preprint arXiv:1508.03570},
  year   = {2016}
}

Comments

10 pages, 1 figure; submitted to J. Phys. B (for the Special Issue on Addressing Quantum Many-body Problems with Cold Atoms and Molecules)