The DOI matches its Crossref record; 3 of the 3 references it cites were found in a registry or an index.
Ground state overlap and quantum phase transitions
Open accessAbstract
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.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Quantum information and computation
Bennett, C. H., & DiVincenzo, D. P. (2000) · Nature · doi:10.1038/35005001 · Cited by 3,263
Entanglement in Quantum Critical Phenomena
Vidal, G., Latorre, J. I., Rico, E., & Kitaev, A. (2003) · Physical Review Letters · doi:10.1103/physrevlett.90.227902 · Cited by 2,793
Scaling of entanglement close to a quantum phase transition
Osterloh, A., Amico, L., Falci, G., & Fazio, R. (2002) · Nature · doi:10.1038/416608a · Cited by 1,860
Cited by
Measuring entanglement entropy in a quantum many-body system
Islam, R., Ma, R., Preiss, P. M., Eric Tai, M., Lukin, A., Rispoli, M., & Greiner, M. (2015) · Nature · doi:10.1038/nature15750 · Cited by 1,158
FIDELITY APPROACH TO QUANTUM PHASE TRANSITIONS
GU, S.-J. (2010) · International Journal of Modern Physics B · doi:10.1142/s0217979210056335 · Cited by 663
Fidelity, dynamic structure factor, and susceptibility in critical phenomena
You, W.-L., Li, Y.-W., & Gu, S.-J. (2007) · Physical Review E · doi:10.1103/physreve.76.022101 · Cited by 532
Information-Theoretic Differential Geometry of Quantum Phase Transitions
Zanardi, P., Giorda, P., & Cozzini, M. (2007) · Physical Review Letters · doi:10.1103/physrevlett.99.100603 · Cited by 506
Self-citationQuantum critical scaling of the geometric tensors
Campos Venuti, L., & Zanardi, P. (2007) · Physical Review Letters · doi:10.1103/physrevlett.99.095701 · Cited by 499
Metadata
- Authors
- Zanardi, P., & Paunković, N.
- Venue
- Physical Review E
- Publisher
- American Physical Society (APS)
- 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
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Ground state overlap and quantum phase transitions. https://app.cochat.ai/papers/10.1103/physreve.74.031123
- The paper
- Zanardi, P., & Paunković, N. (2006). Ground state overlap and quantum phase transitions. Physical Review E. https://doi.org/10.1103/physreve.74.031123
Data sources
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.