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Ground state overlap and quantum phase transitions

Open access
Zanardi, Paolo, Paunković, Nikola·2006·Physical Review E

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.

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Metadata

Authors
Zanardi, P., & Paunković, N.
Venue
Physical Review E
Published
2006-09-26
Volume
74
Issue
3
Pages
031123-031123
ISSN
  • 1539-3755 (ISSN-L)
  • 1550-2376
OpenAlex
W1971614498
Cited by
823
References
3
FWCI
25.13
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: Ground state overlap and quantum phase transitions. https://app.cochat.ai/papers/10.1103/physreve.74.031123
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Zanardi, P., & Paunković, N. (2006). Ground state overlap and quantum phase transitions. Physical Review E. https://doi.org/10.1103/physreve.74.031123

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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.

Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.