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Ground state overlap and quantum phase transitions.

作者信息

Zanardi Paolo, Paunković Nikola

机构信息

Institute for Scientific Interchange (ISI), Villa Gualino, Viale Settimio Severo 65, I-10133 Torino, Italy.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2006 Sep;74(3 Pt 1):031123. doi: 10.1103/PhysRevE.74.031123. Epub 2006 Sep 26.

DOI:10.1103/PhysRevE.74.031123
PMID:17025610
Abstract

We present a characterization of quantum phase transitions in terms of the the overlap function between two ground states obtained for two different values of external parameters. On the examples of the Dicke and XY models, we show that the regions of criticality of a system are marked by the extremal points of the overlap and functions closely related to it. Further, we discuss the connections between this approach and the Anderson orthogonality catastrophe as well as with the dynamical study of the Loschmidt echo for critical systems.

摘要

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