Geometric entanglement in a one-dimensional valence-bond solid state

Orus, Roman (2008) Geometric entanglement in a one-dimensional valence-bond solid state. Physical Review A, 78 6: 062332-1-062332-4. doi:10.1103/PhysRevA.78.062332

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Author Orus, Roman
Title Geometric entanglement in a one-dimensional valence-bond solid state
Journal name Physical Review A   Check publisher's open access policy
ISSN 1050-2947
Publication date 2008-12-18
Sub-type Article (original research)
DOI 10.1103/PhysRevA.78.062332
Open Access Status File (Publisher version)
Volume 78
Issue 6
Start page 062332-1
End page 062332-4
Total pages 4
Place of publication College Park, MD, United States
Publisher American Physical Society
Collection year 2009
Language eng
Abstract In this paper we provide the analytical derivation of the global geometric entanglement per block for the valence-bond solid ground state of the spin-1 Affleck-Kennedy-Lieb-Tasaki chain. In particular, we show that this quantity saturates exponentially fast to a constant when the sizes of the blocks are sufficiently large. Our result provides an example of an analytical calculation of the geometric entanglement for a gapped quantum many-body system in one dimension and far away from a quantum critical point.
Keyword Ground states
Quantum entanglement
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: 2009 Higher Education Research Data Collection
School of Mathematics and Physics
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Citation counts: TR Web of Science Citation Count  Cited 31 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 29 times in Scopus Article | Citations
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Created: Fri, 13 Mar 2009, 11:32:15 EST by Jo Hughes on behalf of School of Mathematics & Physics