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Superfluid and Insulating Phases in an Interacting-Boson Model: Mean-Field Theory and the RPA
Abstract
The bosonic Hubbard model is studied via a simple mean-field theory. At zero temperature, in addition to yielding a phase diagram that is qualitatively correct, namely a superfluid phase for non-integer fillings and a Mott transition from a superfluid to an insulating phase for integer fillings, this theory gives results that are in good agreement with Monte Carlo simulations. In particular, the superfluid fraction obtained as a function of the interaction strength U for both integer and non-integer fillings is close to the simulation results. In all phases the excitation spectra are obtained by using the random phase approximation (RPA): the spectrum has a gap in the insulating phase and is gapless (and linear at small wave vectors) in the superfluid phase. Analytic results are presented in the limits of large U and small superfluid density. Finite-temperature phase diagrams and the Mott-insulator-normal-phase crossover are also described.
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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
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
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
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
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
Transition from a strongly interacting 1D superfluid to a Mott insulator
Stöferle, T., Moritz, H., Schori, C., Köhl, M., & Esslinger, T. (2004) · Physical Review Letters · doi:10.1103/physrevlett.92.130403 · Cited by 1,047
Metadata
- Authors
- Sheshadri, K., Krishnamurthy, H. R., Pandit, R., & Ramakrishnan, T. V.
- Venue
- Europhysics Letters (EPL)
- Publisher
- IOP Publishing
- Published
- 1993-05-01
- Volume
- 22
- Issue
- 4
- Pages
- 257-263
- ISSN
- 0295-5075 (ISSN-L)
- 1286-4854
- OpenAlex
- W2090912118
- Cited by
- 428
- References
- 1
- FWCI
- 1.96
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Superfluid and Insulating Phases in an Interacting-Boson Model: Mean-Field Theory and the RPA. https://app.cochat.ai/papers/10.1209/0295-5075/22/4/004
- The paper
- Sheshadri, K., Krishnamurthy, H. R., Pandit, R., & Ramakrishnan, T. V. (1993). Superfluid and Insulating Phases in an Interacting-Boson Model: Mean-Field Theory and the RPA. Europhysics Letters (EPL). https://doi.org/10.1209/0295-5075/22/4/004
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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).
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