Visualizing elusive phase transitions with geometric entanglement

Orus, Román and Wei, Tzu-Chieh (2010) Visualizing elusive phase transitions with geometric entanglement. Physical Review B - Condensed Matter and Materials Physics, 82 15: 1-6. doi:10.1103/PhysRevB.82.155120

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Author Orus, Román
Wei, Tzu-Chieh
Title Visualizing elusive phase transitions with geometric entanglement
Journal name Physical Review B - Condensed Matter and Materials Physics   Check publisher's open access policy
ISSN 1098-0121
Publication date 2010-10-15
Sub-type Article (original research)
DOI 10.1103/PhysRevB.82.155120
Open Access Status File (Publisher version)
Volume 82
Issue 15
Start page 1
End page 6
Total pages 6
Place of publication College Park, MD, U.S.A.
Publisher American Physical Society
Collection year 2011
Language eng
Abstract We show that by examining the global geometric entanglement it is possible to identify "elusive" or hard to detect quantum phase transitions. We analyze several one-dimensional quantum spin chains and demonstrate the existence of nonanalyticities in the geometric entanglement, in particular, across a Kosterlitz-Thouless transition and across a transition for a gapped deformed Affleck-Kennedy-Lieb-Tasaki chain. The observed nonanalyticities can be understood and classified in connection to the nature of the transitions, and are in sharp contrast to the analytic behavior of all the two-body reduced density operators and their derived entanglement measures. © 2010 The American Physical Society.
Keyword Systems
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ
Additional Notes online open-access article, no. 155120 ; 6 p.

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
Official 2011 Collection
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Citation counts: TR Web of Science Citation Count  Cited 28 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 23 times in Scopus Article | Citations
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Created: Sun, 31 Oct 2010, 00:03:18 EST