Quantum Rotor Approach to the Mott-Insulator Transition in the Bose-Hubbard Model

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

Abstracts

EN

We present the novel approach to the Bose-Hubbard model using the U(1) quantum rotor description. We formulate a problem in the phase only action using an effective action formalism and obtain analytical formulae for the critical lines. We show that the nontrivial U(1) phase field configurations have an impact on the phase diagrams. The topological character of the quantum field is governed by terms of the integer charges -- winding numbers n. The comparison of the presented results with recently obtained quantum Monte Carlo numerical calculations suggests that the competition between quantum effects in strongly interacting boson systems is correctly captured by our model.

Keywords

EN

05.30.Jp; 03.75.Lm; 03.75.Nt

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: 2008
• Volume: 114
• Issue: 1
• Pages: 29-34

Dates

published

2008-07

received

2007-11-06

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, P.O.B. 1410, 50-950 Wrocław 2, Poland

References

• 1. M.P.A. Fisher, P.B. Weichman, G. Grinstein, D.S. Fisher, Phys. Rev. B 40, 546 (1989)
• 2. D. Jaksch, C. Bruder, J.I. Cirac, C.W. Gardiner, P. Zoller, Phys. Rev. Lett. 81, 3108 (1998)
• 3. M. Greiner, O. Mandel, T. Esslinger, T.W. Hansch, I. Bloch, Nature 415, 39 (2002)
• 4. A.P. Kampf, G.T. Zimanyi, Phys. Rev. B 47, 279 (1993)
• 5. K. Sheshadri, H.R. Krishnamurthy, R. Pandit, T.V. Ramakrishnan, Europhys. Lett. 22, 257 (1993)
• 6. J.K. Freericks, H. Monien, Phys. Rev. B 53, 2691 (1996)
• 7. S.R. Clark, D. Jaksch, Phys. Rev. A 70, 043612 (2004)
• 8. M. Niemeyer, J.K. Freericks, H. Monien, Phys. Rev. B 60, 2357 (1999)
• 9. A. Sewer, X. Zotos, H. Beck, Phys. Rev. B 66, 140504(R) (2002)
• 10. N.V. Prokof'ev, B.V. Svistunov, I.S. Tupitsyn, Phys. Lett. A 238, 253 (1998);J. Exp. Theor. Phys. 87, 310 (1998)
• 11. B. Capogrosso-Sansone, N.V. Prokof'ev, B.V. Svistunov, Phys. Rev. B 75, 134302 (2007)
• 12. I. Bloch, Nature Phys. 1, 23 (2005)
• 13. W.J. Elion, M. Matters, U. Geigenmuller, J.E. Mooij, Nature 371, 594 (2002)
• 14. T.K. Kopeć, Phys. Rev. B 70, 054518 (2004)
• 15. T.K. Kopeć, J.V. José, Phys. Rev. B 60, 7473 (1999)

Identifiers

DOI

10.12693/APhysPolA.114.29