The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Dynamics and thermodynamics of the Bose-Hubbard model
Open accessAbstract
We report results from a systematic analytic strong-coupling expansion of the Bose-Hubbard model in one- and two-spatial dimensions. We obtain numerically exact results for the dispersion of single-particle and single-hole excitations in the Mott insulator. The boundary of the Mott phase can be determined with previously unattainable accuracy in one and two dimensions. In one dimension, we observe the occurrence of reentrant behavior from the compressible to the insulating phase in a region close to the critical point, which was conjectured in earlier work. Our calculation can be used as a benchmark for the development of numerical techniques for strongly correlated 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
Boson localization and the superfluid-insulator transition
Fisher, M. P. A., Weichman, P. B., Grinstein, G., & Fisher, D. S. (1989) · Physical Review B · doi:10.1103/physrevb.40.546 · Cited by 3,512
Cited by
Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
Greiner, M., Mandel, O., Esslinger, T., Hänsch, T. W., & Bloch, I. (2002) · Nature · doi:10.1038/415039a · Cited by 5,935
Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
Lewenstein, M., Sanpera, A., Ahufinger, V., Damski, B., Sen(De), A., & Sen, U. (2007) · Advances in Physics · doi:10.1080/00018730701223200 · Cited by 2,104
One dimensional bosons: From condensed matter systems to ultracold gases
Cazalilla, M. A., Citro, R., Giamarchi, T., Orignac, E., & Rigol, M. (2011) · Reviews of Modern Physics · doi:10.1103/revmodphys.83.1405 · Cited by 1,107
Quantum entanglement in condensed matter systems
Laflorencie, N. (2016) · Physics Reports · doi:10.1016/j.physrep.2016.06.008 · Cited by 765
One-dimensional Bose-Hubbard model with nearest-neighbor interaction
Kühner, T. D., White, S. R., & Monien, H. (2000) · Physical Review B · doi:10.1103/physrevb.61.12474 · Cited by 400
Self-citation
Metadata
- Authors
- Elstner, N., & Monien, H.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 1999-05-15
- Volume
- 59
- Issue
- 19
- Pages
- 12184-12187
- ISSN
- 0163-1829 (ISSN-L)
- 1095-3795
- OpenAlex
- W1967384198
- Cited by
- 191
- References
- 1
- FWCI
- 1.35
- 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: Dynamics and thermodynamics of the Bose-Hubbard model. https://app.cochat.ai/papers/10.1103/physrevb.59.12184
- The paper
- Elstner, N., & Monien, H. (1999). Dynamics and thermodynamics of the Bose-Hubbard model. Physical Review B. https://doi.org/10.1103/physrevb.59.12184
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.