The DOI matches its Crossref record; 42 of the 42 references it cites were found in a registry or an index.
Mott Hubbard transition of cold atoms in optical lattices
Open accessAbstract
We discuss the superfluid (SF) to Mott-insulator transition of cold atoms in optical lattices recently observed by Greiner et al (2002 Nature 415 39). The fundamental properties of both phases and their experimental signatures are discussed carefully, including the limitations of the standard Gutzwiller approximation. It is shown that in a one-dimensional dilute Bose-gas with a strong transverse confinement (Tonks-gas), even an arbitrary weak optical lattice is able to induce a Mott-like state with crystalline order, provided the dimensionless interaction parameter is larger than a critical value of order one. The SF–insulator transition of the Bose–Hubbard model in this case continuously evolves into a transition of the commensurate–incommensurate type with decreasing strength of the external optical lattice.
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Observation of Bose-Einstein Condensation in a Dilute Atomic Vapor
Anderson, M. H., Ensher, J. R., Matthews, M. R., Wieman, C. E., & Cornell, E. A. (1995) · Science · doi:10.1126/science.269.5221.198 · Cited by 7,487
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
Bose-Einstein Condensation in a Gas of Sodium Atoms
Davis, K. B., Mewes, M. O., Andrews, M. R., van Druten, N. J., Durfee, D. S., Kurn, D. M., & Ketterle, W. (1995) · Physical Review Letters · doi:10.1103/physrevlett.75.3969 · Cited by 5,650
Raussendorf, R., & Briegel, H. J. (2001) · Physical Review Letters · doi:10.1103/physrevlett.86.5188 · Cited by 4,477
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
Evidence of Bose-Einstein Condensation in an Atomic Gas with Attractive Interactions
Bradley, C. C., Sackett, C. A., Tollett, J. J., & Hulet, R. G. (1995) · Physical Review Letters · doi:10.1103/physrevlett.75.1687 · Cited by 3,249
Exact Analysis of an Interacting Bose Gas. I. The General Solution and the Ground State
Lieb, E. H., & Liniger, W. (1963) · Physical Review · doi:10.1103/physrev.130.1605 · Cited by 2,709
Bose-Einstein condensation in the alkali gases: Some fundamental concepts
Leggett, A. J. (2001) · Reviews of Modern Physics · doi:10.1103/revmodphys.73.307 · Cited by 1,963
Cited by
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
Colloquium: Atomic quantum gases in periodically driven optical lattices
Eckardt, A. (2017) · Reviews of Modern Physics · doi:10.1103/revmodphys.89.011004 · Cited by 1,207
Dynamical Control of Matter-Wave Tunneling in Periodic Potentials
Lignier, H., Sias, C., Ciampini, D., Singh, Y., Zenesini, A., Morsch, O., & Arimondo, E. (2007) · Physical Review Letters · doi:10.1103/physrevlett.99.220403 · Cited by 645
Cavity QED with quantum gases: new paradigms in many-body physics
Mivehvar, F., Piazza, F., Donner, T., & Ritsch, H. (2021) · Advances in Physics · doi:10.1080/00018732.2021.1969727 · Cited by 336
Spreading of correlations and entanglement after a quench in the one-dimensional Bose–Hubbard model
Läuchli, A. M., & Kollath, C. (2008) · Journal of Statistical Mechanics: Theory and Experiment · doi:10.1088/1742-5468/2008/05/p05018 · Cited by 324
Metadata
- Authors
- Zwerger, W.
- Venue
- Journal of Optics B: Quantum and Semiclassical Optics
- Publisher
- IOP Publishing
- Published
- 2003-04-01
- Volume
- 5
- Issue
- 2
- Pages
- S9-S16
- ISSN
- 1464-4266 (ISSN-L)
- OpenAlex
- W2064425721
- Cited by
- 368
- References
- 42
- FWCI
- 13.71
- Type
- journal article
- Language
- en
- Open access
- bronze
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