Phase Transitions in Optical Lattices at Finite Temperatures

• Authors: T. Polak , T. Kopeć
• Languages of publication: 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

EN

05.30.Jp; 03.75.Lm; 03.75.Nt; 67.40.Kh

Discipline

• 03.75.Nt: Other Bose-Einstein condensation phenomena
• 03.75.Lm: Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations(see also 74.50.+r Tunneling phenomena; Josephson effects in superconductivity)
• 05.30.Jp: Boson systems(for static and dynamic properties of Bose-Einstein condensates, see 03.75.Hh and 03.75.Kk; see also 67.10.Ba Boson degeneracy in quantum fluids)

• Journal: Acta Physica Polonica A
• Year: 2009
• Volume: 115
• Issue: 1
• Pages: 418-420

Dates

published

2009-01

Contributors

author

T. Polak

• Faculty of Physics, Adam Mickiewicz University of Poznań, Umultowska 85, 61-614 Poznań, Poland

author

T. Kopeć

• Institute for Low Temperatures and Structure Research, Polish Academy of Sciences, Wrocław, Poland

References

• 1. D. Jaksch, C. Bruder, J.I. Cirac, C.W. Gardiner, P. Zoller, Phys. Rev. Lett. 81, 3108 (1998)
• 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)

Identifiers

DOI

10.12693/APhysPolA.115.418