The DOI matches its Crossref record; 23 of the 23 references it cites were found in a registry or an index.
Gutzwiller projection for bosons
Abstract
We apply Gutzwiller's variational method to the interacting Bose lattice gas. In contrast with the Fermi case, the Gutzwiller wave function for bosons can be treated with no further approximation in several limits. Furthermore, this wave function can be shown to be exact for large dimensionality, and also in arbitrary dimension for suitably chosen short-range interactions. At densities commensurate with the lattice, a superfluid-insulator transition is found. These results are compared with the fermionic case, and are applied to several interacting-boson systems.
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Citations
Cites
Electron correlations in narrow energy bands
Hubbard, J. (1963) · Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences · doi:10.1098/rspa.1963.0204 · Cited by 6,699
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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
Electron correlations in narrow energy bands III. An improved solution
Hubbard, J. (1964) · Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences · doi:10.1098/rspa.1964.0190 · Cited by 2,022
Electron Correlation and Ferromagnetism of Transition Metals
Kanamori, J. (1963) · Progress of Theoretical Physics · doi:10.1143/ptp.30.275 · Cited by 1,972
Effect of Correlation on the Ferromagnetism of Transition Metals
Gutzwiller, M. C. (1963) · Physical Review Letters · doi:10.1103/physrevlett.10.159 · Cited by 1,866
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Self-citation
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Many-body physics with ultracold gases
Bloch, I., Dalibard, J., & Zwerger, W. (2008) · Reviews of Modern Physics · doi:10.1103/revmodphys.80.885 · Cited by 8,114
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
Quantum trajectories and open many-body quantum systems
Daley, A. J. (2014) · Advances in Physics · doi:10.1080/00018732.2014.933502 · Cited by 853
Quantum phase transitions of light
Greentree, A. D., Tahan, C., Cole, J. H., & Hollenberg, L. C. L. (2006) · Nature Physics · doi:10.1038/nphys466 · Cited by 788
“to the Gutzwiller Ansatz (GA) variational wavefunction techniqu”
BackgroundCommunity Detection in Quantum Complex Networks
Faccin, M., Migdał, P., Johnson, T. H., Bergholm, V., & Biamonte, J. D. (2014) · Physical Review X · doi:10.1103/physrevx.4.041012 · Cited by 43
Metadata
- Authors
- Rokhsar, D. S., & Kotliar, B. G.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 1991-11-01
- Volume
- 44
- Issue
- 18
- Pages
- 10328-10332
- ISSN
- 0163-1829 (ISSN-L)
- 1095-3795
- OpenAlex
- W2093750916
- Cited by
- 263
- References
- 23
- FWCI
- 1.14
- Type
- journal article
- Language
- en
- Open access
- closed
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- Rokhsar, D. S., & Kotliar, B. G. (1991). Gutzwiller projection for bosons. Physical Review B. https://doi.org/10.1103/physrevb.44.10328
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.
