Entanglement properties of quantum many-body wave functions

J. W. Clark, A. Mandilara, M. L. Ristig, K. E. KÜrten

Research output: Contribution to journalArticle

Abstract

The entanglement properties of correlated wave functions commonly employed in theories of strongly correlated many-body systems are studied. The variational treatment of the transverse Ising model within correlated-basis theory is reviewed, and existing calculations of the one- and two-body reduced density matrices are used to evaluate or estimate established measures of bipartite entanglement, including the Von Neumann entropy, the concurrence, and localizable entanglement, for square, cubic, and hypercubic lattice systems. The results discussed in relation to the findings of previous studies that explore the relationship of entanglement behaviors to quantum critical phenomena and quantum phase transitions. It is emphasized that Jastrow-correlated wave functions and their extensions contain multipartite entanglement to all orders.

Original languageEnglish
Pages (from-to)4041-4057
Number of pages17
JournalInternational Journal of Modern Physics B
Volume23
Issue number20-21
Publication statusPublished - Aug 20 2009
Externally publishedYes

Fingerprint

wave functions
cubic lattices
Ising model
entropy
estimates

Keywords

  • Entanglement measures
  • Jastrow wave functions
  • Quantum phase transitions
  • Strong correlations
  • Transverse Ising model

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Statistical and Nonlinear Physics

Cite this

Clark, J. W., Mandilara, A., Ristig, M. L., & KÜrten, K. E. (2009). Entanglement properties of quantum many-body wave functions. International Journal of Modern Physics B, 23(20-21), 4041-4057.

Entanglement properties of quantum many-body wave functions. / Clark, J. W.; Mandilara, A.; Ristig, M. L.; KÜrten, K. E.

In: International Journal of Modern Physics B, Vol. 23, No. 20-21, 20.08.2009, p. 4041-4057.

Research output: Contribution to journalArticle

Clark, JW, Mandilara, A, Ristig, ML & KÜrten, KE 2009, 'Entanglement properties of quantum many-body wave functions' International Journal of Modern Physics B, vol. 23, no. 20-21, pp. 4041-4057.
Clark, J. W. ; Mandilara, A. ; Ristig, M. L. ; KÜrten, K. E. / Entanglement properties of quantum many-body wave functions. In: International Journal of Modern Physics B. 2009 ; Vol. 23, No. 20-21. pp. 4041-4057.
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