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Number of results
2009 | 115 | 1 | 418-420

Article title

Phase Transitions in Optical Lattices at Finite Temperatures

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EN

Abstracts

EN
We discuss the finite-temperature phase diagram in three-dimensional Bose-Hubbard model relevant for the Bose-Einstein condensates in optical lattices, by employing U(1) quantum rotor approach and the topologically constrained path integral, that includes a summation over U(1) topological charge. The effective action formalism allows us to formulate a problem in the phase only action and obtain analytical formulae for the critical lines beyond mean-field theory.

Keywords

Contributors

author
  • Faculty of Physics, Adam Mickiewicz University of Poznań, Umultowska 85, 61-614 Poznań, Poland
author
  • Institute for Low Temperatures and Structure Research, Polish Academy of Sciences, Wrocław, Poland

References

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  • 2. M. Greiner, O. Mandel, T. Esslinger, T.W. Hansch, I. Bloch, Nature 415, 39 (2002)
  • 3. M.P.A. Fisher, P.B. Weichman, G. Grinstein, D.S. Fisher, Phys. Rev. B 40, 546 (1989)
  • 4. T.K. Kopeć, J.V. José, Phys. Rev. B 60, 7473 (1999)
  • 5. M. Abramovitz, I. Stegun, Handbook of Mathematical Functions, Ninth Dover Publ. Inc., New York 1970, p. 589
  • 6. T.P. Polak, T.K. Kopeć, Phys. Rev. B 76, 094503 (2007)
  • 7. F. Gerbier, Phys. Rev. Lett. 99, 120405 (2007)

Document Type

Publication order reference

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bwmeta1.element.bwnjournal-article-appv115n1122kz
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