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Preprint . 2010
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Quantum Fidelity in the Thermodynamic Limit

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 04 Feb 2011Embargo end date: 01 Jan 2010 English Publisher:American Physical Society (APS)Journal:Physical Review Letters, volume 106 (issn: 0031-9007, eissn: 1079-7114, Copyright policy )
Authors: Bogdan Damski; Marek M. Rams; Marek M. Rams;

doi: 10.1103/physrevlett.106.055701 , 10.48550/arxiv.1010.1048

pmid: 21405410

arXiv: http://arxiv.org/abs/1010.1048

Quantum Fidelity in the Thermodynamic Limit

Abstract

We study quantum fidelity, the overlap between two ground states of a many-body system, focusing on the thermodynamic regime. We show how drop of fidelity near a critical point encodes universal information about a quantum phase transition. Our general scaling results are illustrated in the quantum Ising chain for which a remarkably simple expression for fidelity is found.

4 pages, 4 figures, rearranged a bit to improve presentation

Related Organizations
Keywords

Quantum Physics, Condensed Matter - Strongly Correlated Electrons, Statistical Mechanics (cond-mat.stat-mech), Strongly Correlated Electrons (cond-mat.str-el), FOS: Physical sciences, Quantum Physics (quant-ph), Condensed Matter - Statistical Mechanics

  • BIP!
    Impact byBIP!
    citations
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 99
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    		 Top 1%
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
99
Top 10%
Top 10%
Top 1%
Green
hybrid