Skip to main content
SpringerLink
Log in

Bose–Fermi mixtures in a three-dimensional optical lattice

  • Published:
Applied Physics B Aims and scope Submit manuscript

Abstract

Using the dynamical mean-field theory and the Gutzwiller method, we study the Mott transition in Bose–Fermi mixtures confined in a three-dimensional optical lattice and analyze the effect of fermions on the coherence of bosons. We conclude that increasing fermion composition reduces bosonic coherence in the presence of strong Bose–Fermi interactions and under the condition of the integer filling factors for composite fermions, which consist of one fermion and one or more bosonic holes. Various phases of the mixtures have been demonstrated including phase separation of two species, coexisting regions of superfluid bosons and fermionic liquids, and Mott regions in the phase space spanned by the chemical potentials of the bosons and the fermions.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. M. Köhl, H. Moritz, T. Stöferle, K. Günter, T. Esslinger, Phys. Rev. Lett. 94, 080403 (2005)

    Article  Google Scholar 

  2. C. Chin, M. Bartenstein, A. Altmeyer, S. Riedl, S. Jochim, J.H. Denschlag, R. Grimm, Science 305, 1128 (2004)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  4. M. Greiner, O. Mandel, T. Esslinger, T. Hansch, I. Bloch, Nature 415, 39 (2002)

    Article  ADS  Google Scholar 

  5. M. Lewenstein, L. Santos, M.A. Baranov, H. Fehmann, Phys. Rev. Lett. 92, 050401 (2004)

    Article  ADS  Google Scholar 

  6. K. Sengupta, N. Dupuis, P. Majumdar, Phys. Rev. A 75, 063625 (2007)

    Article  ADS  Google Scholar 

  7. S. Ospelkaus, C. Ospelkaus, O. Wille, M. Succo, P. Ernst, K. Sengstock, K. Bongs, Phys. Rev. Lett. 96, 180403 (2006)

    Article  ADS  Google Scholar 

  8. K. Günter, T. Stöferle, H. Moritz, M. Köhl, T. Esslinger, Phys. Rev. Lett. 96, 180402 (2006)

    Article  Google Scholar 

  9. L. Pollet, C. Kollath, U. Schollwöck, M. Troyer, Phys. Rev. A 77, 023608 (2008)

    Article  ADS  Google Scholar 

  10. M. Cramer, S. Ospelkaus, C. Ospelkaus, K. Bongs, K. Sengstock, J. Eisert, Phys. Rev. Lett. 100, 140409 (2008)

    Article  ADS  Google Scholar 

  11. C. Ospelkaus, Fermi–Bose mixtures: from mean-field interactions to ultracold chemistry. Ph.D. thesis

  12. S. Ospelkaus, Quantum degenerate Fermi–Bose mixtures of 40K and 87Rb in 3D optical lattice. Ph.D. thesis

  13. A. Georges, G. Kotliar, W. Krauth, M.J. Rozenberg, Rev. Mod. Phys. 68, 13 (1996)

    Article  MathSciNet  ADS  Google Scholar 

  14. J. Bünemann, W. Weber, Phys. Rev. B 57, 6896 (1998)

    Article  ADS  Google Scholar 

  15. M.C. Gutzwiller, Phys. Rev. Lett. 10, 159 (1963)

    Article  ADS  Google Scholar 

  16. M.C. Gutzwiller, Phys. Rev. 134, A923 (1964)

    Article  ADS  Google Scholar 

  17. M.C. Gutzwiller, Phys. Rev. 137, A1726 (1965)

    Article  MathSciNet  ADS  Google Scholar 

  18. R. Roth, K. Burnett, Phys. Rev. A 67, 031602 (2003)

    Article  ADS  Google Scholar 

  19. S.J. Gu et al., Phys. Rev. B 102, 224508 (2009)

    Article  ADS  Google Scholar 

  20. L. Pollet et al., Phys. Rev. Lett. 96, 190402 (2006)

    Article  ADS  Google Scholar 

  21. X.Y. Deng, L. Wang, X. Dai, Z. Fang, Phys. Rev. B 79, 075114 (2009)

    Article  ADS  Google Scholar 

  22. A. Albus, F. Illuminati, J. Eisert, Phys. Rev. A 68, 023606 (2003)

    Article  ADS  Google Scholar 

  23. Th. Best, S. Will, U. Schneider et al., Phys. Rev. Lett. 102, 030408 (2009)

    Article  ADS  Google Scholar 

  24. I. Titvinidze, M. Snoek, W. Hofstetter, Phys. Rev. Lett. 100, 100401 (2008)

    Article  ADS  Google Scholar 

  25. L. Amico, V. Penna, Phys. Rev. Lett. 80, 2189 (1998)

    Article  ADS  Google Scholar 

  26. K. Sheshadri, H.R. Krishnamurthy, R. Pandit, T.V. Ramakrishnan, Europhys. Lett. 22, 257 (1993)

    Article  ADS  Google Scholar 

  27. C. Raas, G.S. Uhrig, F.B. Anders, Phys. Rev. B 69, 041102(R) (2004)

    Article  ADS  Google Scholar 

  28. C. Raas, G.S. Uhrig, Eur. Phys. J. B 45, 293 (2005)

    Article  ADS  Google Scholar 

  29. G. Kotliar, A.E. Ruchenstein, Phys. Rev. Lett. 57, 1362 (1986)

    Article  MathSciNet  ADS  Google Scholar 

  30. X. Dai, G. Kotliar, Z. Fang, arXiv:cond-mat/0611075

  31. R. Fresard, G. Kotliar, Phys. Rev. B 56, 12909 (1997)

    Article  ADS  Google Scholar 

  32. H. Hasegawa, Phys. Rev. B 56, 1196 (1997)

    Article  ADS  Google Scholar 

  33. L. Pollet, S.M.A. Rombouts, P.J.H. Denteneer, Phys. Rev. Lett. 93, 210401 (2004)

    Article  ADS  Google Scholar 

  34. B. Paredes, A. Widera, V. Murg et al., Nature 429, 277 (2004)

    Article  ADS  Google Scholar 

  35. M.P.A. Fisher, P.B. Weichman, G. Grinstein, D.S. Fisher, Phys. Rev. B 40, 546 (1989)

    Article  ADS  Google Scholar 

  36. Q.M. Liu, Y. Zhao, W.H. Wang, T. Kato, Phys. Rev. B 79, 165105 (2009)

    Article  ADS  Google Scholar 

  37. H.P. Büchler, G. Blatter, Phys. Rev. A 69, 063603 (2004)

    Article  ADS  Google Scholar 

  38. F. Gerbier, A. Widera, S. Fölling, O. Mandel, T. Gericke, I. Bloch, Phys. Rev. A 72, 053606 (2005)

    Article  ADS  Google Scholar 

  39. X.X. Yi, C.P. Sun, Phys. Rev. A 64, 043608 (2001)

    Article  ADS  Google Scholar 

  40. F. Hert, G.G. Batrouni, X. Roy, V.G. Rousseau, Phys. Rev. B 78, 184505 (2008)

    Article  ADS  Google Scholar 

  41. M. Greiner, Ultracold quantum gases in three-dimensional optical lattice potentials. Ph.D. thesis, 2003

Download references

Author information

Authors and Affiliations

  1. School of Materials Science and Engineering, Nanyang Technological University, Singapore, 639798, Singapore

    Q.-M. Liu & Y. Zhao

  2. Institute of Physics, Chinese Academy of Sciences, Beijing, 100080, China

    Q.-M. Liu, X. Dai, Z. Fang & J.-N. Zhuang

Authors
  1. Q.-M. Liu
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. X. Dai
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Z. Fang
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. J.-N. Zhuang
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Y. Zhao
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Y. Zhao.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Liu, QM., Dai, X., Fang, Z. et al. Bose–Fermi mixtures in a three-dimensional optical lattice. Appl. Phys. B 99, 639–650 (2010). https://doi.org/10.1007/s00340-010-4074-y

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00340-010-4074-y

Keywords

Search

Navigation