The DOI matches its Crossref record; 26 of the 26 references it cites were found in a registry or an index.
Phase diagram and thermodynamics of the three-dimensional Bose-Hubbard model
Open accessAbstract
We report results of quantum Monte Carlo simulations of the Bose-Hubbard model in three dimensions. Critical parameters for the superfluid-to-Mott-insulator transition are determined with significantly higher accuracy than has been done in the past. In particular, the position of the critical point at filling factor $n=1$ is found to be at ${(U∕t)}_{\mathrm{c}}=29.34(2)$, and the insulating gap $\ensuremath{\Delta}$ is measured with accuracy of a few percent of the hopping amplitude $t$. We obtain the effective mass of particle and hole excitations in the insulating state---with explicit demonstration of the emerging particle-hole symmetry and relativistic dispersion law at the transition tip---along with the sound velocity in the strongly correlated superfluid phase. These parameters are the necessary ingredients to perform analytic estimates of the low temperature $(T⪡\ensuremath{\Delta})$ thermodynamics in macroscopic samples. We present accurate thermodynamic curves, including these for specific heat and entropy, for typical insulating $(U∕t=40)$ and superfluid $(t∕U=0.0385)$ phases. Our data can serve as a basis for accurate experimental thermometry, and a guide for appropriate initial conditions if one attempts to use interacting bosons in quantum information processing.
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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
Theory of Bose-Einstein condensation in trapped gases
Dalfovo, F., Giorgini, S., Pitaevskii, L. P., & Stringari, S. (1999) · Reviews of Modern Physics · doi:10.1103/revmodphys.71.463 · Cited by 5,701
Cold Bosonic Atoms in Optical Lattices
Jaksch, D., Bruder, C., Cirac, J. I., Gardiner, C. W., & Zoller, P. (1998) · Physical Review Letters · doi:10.1103/physrevlett.81.3108 · Cited by 3,685
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
Observation of Interference Between Two Bose Condensates
Andrews, M. R., Townsend, C. G., Miesner, H.-J., Durfee, D. S., Kurn, D. M., & Ketterle, W. (1997) · Science · doi:10.1126/science.275.5300.637 · Cited by 1,614
PROCEEDINGS OF THE INTERNATIONAL SCHOOL OF PHYSICS ≪ENRICO FERMI≫
(1993) · Semiconductor Superlattices and Interfaces · doi:10.1016/b978-0-444-81643-6.50027-3 · Cited by 1,523
Jaksch, D., & Zoller, P. (2005) · Annals of Physics · doi:10.1016/j.aop.2004.09.010 · Cited by 976
Prokof’ev, N. V., Svistunov, B. V., & Tupitsyn, I. S. (1998) · Journal of Experimental and Theoretical Physics · doi:10.1134/1.558661 · Cited by 407
Self-citationBerman, P. R. (1996) · Cited by 394
Strong-coupling expansions for the pure and disordered Bose-Hubbard model
Freericks, J. K., & Monien, H. (1996) · Physical Review B · doi:10.1103/physrevb.53.2691 · Cited by 353
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The nonperturbative functional renormalization group and its applications
Dupuis, N., Canet, L., Eichhorn, A., Metzner, W., Pawlowski, J. M., Tissier, M., & Wschebor, N. (2021) · Physics Reports · doi:10.1016/j.physrep.2021.01.001 · Cited by 660
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Pekker, D., & Varma, C. M. (2015) · Annual Review of Condensed Matter Physics · doi:10.1146/annurev-conmatphys-031214-014350 · Cited by 398
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Metadata
- Authors
- Capogrosso-Sansone, B., Prokof’ev, N. V., & Svistunov, B. V.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2007-04-16
- Volume
- 75
- Issue
- 13
- ISSN
- 1098-0121 (ISSN-L)
- 1550-235X
- OpenAlex
- W2024756001
- Cited by
- 296
- References
- 26
- FWCI
- 13.85
- Type
- journal article
- Language
- en
- Open access
- green
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