Fidelity and quantum phase transitions

Zhou, Huan-Qiang and Barjaktarevic, John Paul (2008) Fidelity and quantum phase transitions. Journal of Physics A: Mathematical and Theoretical, 41 41: Article Number: 412001. doi:10.1088/1751-8113/41/41/412001


Author Zhou, Huan-Qiang
Barjaktarevic, John Paul
Title Fidelity and quantum phase transitions
Journal name Journal of Physics A: Mathematical and Theoretical   Check publisher's open access policy
ISSN 1751-8113
Publication date 2008-10-17
Sub-type Article (original research)
DOI 10.1088/1751-8113/41/41/412001
Open Access Status
Volume 41
Issue 41
Start page Article Number: 412001
Total pages 7
Editor N. Scriven
Place of publication Bristol, England
Publisher Institute of Physics Publishing
Language eng
Subject C1
970102 Expanding Knowledge in the Physical Sciences
029999 Physical Sciences not elsewhere classified
Abstract It is shown that the fidelity, a basic notion of quantum information science, may be used to characterize quantum phase transitions, regardless of what type of internal order is present in quantum many-body states. The equivalence between the existence of an order parameter and the orthogonality of different ground-state wavefunctions for a system undergoing a quantum phase transition is used to justify the introduction of the notions of irrelevant and relevant information as the counterparts of fluctuations and orders in the conventional description. The irrelevant and relevant information ar e quantified, which allows us to identify unstable and stable fixed points (in the sense of renormalization group theory) for quantum spin chains.
Keyword ENTANGLEMENT
quantum information science
quantum phase transitions
wavefunctions
spin chains
Q-Index Code C1
Q-Index Status Confirmed Code
Additional Notes Published 19 September 2008

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 110 times in Thomson Reuters Web of Science Article | Citations
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Created: Mon, 23 Mar 2009, 22:34:15 EST by Jo Hughes on behalf of School of Mathematics & Physics