Aspects of Entanglement in Quantum Many-Body Systems

John W. Clark, Hessam Habibian, Aikaterini D. Mandilara, Manfred L. Ristig

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Knowledge of the entanglement properties of the wave functions commonly used to describe quantum many-particle systems can enhance our understanding of their correlation structure and provide new insights into quantum phase transitions that are observed experimentally or predicted theoretically. To illustrate this theme, we first examine the bipartite entanglement contained in the wave functions generated by microscopic many-body theory for the transverse Ising model, a system of Pauli spins on a lattice that exhibits an order-disorder magnetic quantum phase transition under variation of the coupling parameter. Results for the single-site entanglement and measures of two-site bipartite entanglement are obtained for optimal wave functions of Jastrow-Hartree type. Second, we address the nature of bipartite and tripartite entanglement of spins in the ground state of the noninteracting Fermi gas, through analysis of its two- and three-fermion reduced density matrices. The presence of genuine tripartite entanglement is established and characterized by implementation of suitable entanglement witnesses and stabilizer operators. We close with a broader discussion of the relationships between the entanglement properties of strongly interacting systems of identical quantum particles and the dynamical and statistical correlations entering their wave functions.

Original languageEnglish
Pages (from-to)1200-1220
Number of pages21
JournalFoundations of Physics
Volume40
Issue number9
DOIs
Publication statusPublished - 2010
Externally publishedYes

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wave functions
fermions
statistical correlation
gas analysis
Ising model
disorders
operators
ground state

Keywords

  • Entanglement measures
  • Free Fermi gas
  • Jastrow-Hartree wave function
  • Quantum phase transitions
  • Transverse Ising model
  • Tripartite entanglement

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Aspects of Entanglement in Quantum Many-Body Systems. / Clark, John W.; Habibian, Hessam; Mandilara, Aikaterini D.; Ristig, Manfred L.

In: Foundations of Physics, Vol. 40, No. 9, 2010, p. 1200-1220.

Research output: Contribution to journalArticle

Clark, John W. ; Habibian, Hessam ; Mandilara, Aikaterini D. ; Ristig, Manfred L. / Aspects of Entanglement in Quantum Many-Body Systems. In: Foundations of Physics. 2010 ; Vol. 40, No. 9. pp. 1200-1220.
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