Genuine tripartite entanglement in the noninteracting fermi gas

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Abstract

We study genuine tripartite entanglement shared among the spins of three localized fermions in the noninteracting Fermi gas at zero temperature. First, we prove analytically with the aid of entanglement witnesses that in a particular configuration the three fermions are genuinely tripartite entangled in spin. Then various three-fermion configurations are investigated in order to quantify and calculate numerically the amount of genuine tripartite entanglement present in the system. Further we give a lower and an upper limit to the maximum diameter of the three-fermion configuration below which genuine tripartite entanglement exists and find that this distance is comparable with the maximum separation between two entangled fermions. The upper and lower limit turn out to be very close to each other indicating that the applied witness operator is well suited to reveal genuine tripartite entanglement in the collection of noninteracting fermions.

Original languageEnglish
Article number042330
JournalPhysical Review A
Volume75
Issue number4
DOIs
Publication statusPublished - Apr 30 2007

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fermions
gases
configurations
operators
temperature

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Physics and Astronomy(all)

Cite this

Genuine tripartite entanglement in the noninteracting fermi gas. / Vértesi, T.

In: Physical Review A, Vol. 75, No. 4, 042330, 30.04.2007.

Research output: Contribution to journalArticle

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