Skip to main content
Log in

On the critical temperature in a Boson-Fermion mixture with attraction between the components

  • Condensed Matter
  • Published:
JETP Letters Aims and scope Submit manuscript

Abstract

The dependence of the critical temperature shift in the Bose component of a degenerate Bose-Fermi gas mixture in a harmonic trap on the number of bosons and fermions has been obtained on the basis of the effective Hamiltonian of the Bose subsystem. The presence of the Fermi component leads to a qualitatively new behavior of the shift, as compared to the case of a single interacting Bose gas in the trap. Namely, the T c(N) dependence has a different curvature in the presence of the Fermi component.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. M. H. Anderson, J. R. Ensher, M. R. Matthews, et al., Science 269, 198 (1995).

    Article  ADS  Google Scholar 

  2. C. C. Bradley, C. A. Sackett, J. J. Tollet, and R. G. Hulet, Phys. Rev. Lett. 75, 1687 (1995).

    Article  ADS  Google Scholar 

  3. F. Dalfovo, S. Giorgini, L. P. Pitaevskii, and S. Stringari, Rev. Mod. Phys. 71, 463 (1999).

    Article  ADS  Google Scholar 

  4. E. Timmermans and R. Cote, Phys. Rev. Lett. 80, 3419 (1998).

    Article  ADS  Google Scholar 

  5. W. Geist, L. You, and T. A. B. Kennedy, Phys. Rev. A 59, 1500 (1999).

    Article  ADS  Google Scholar 

  6. F. Schreck, L. Khaykovich, K. L. Corwin, et al., Phys. Rev. Lett. 87, 080403 (2001).

    Google Scholar 

  7. G. Modugno, G. Roati, F. Riboli, et al., Science 297, 2240 (2002).

    Article  ADS  Google Scholar 

  8. R. Roth, Phys. Rev. A 66, 013614 (2002).

    Google Scholar 

  9. R. Roth and H. Feldmeier, Phys. Rev. A 65, 021603 (2002).

  10. W. Ketterle and N. J. van Druten, Phys. Rev. A 54, 656 (1996).

    Article  ADS  Google Scholar 

  11. K. Kristen and D. J. Toms, Phys. Rev. A 54, 4188 (1996).

    Article  ADS  Google Scholar 

  12. S. Giorgini, L. P. Pitaevskii, and S. Stringari, Phys. Rev. A 54, R4633 (1996).

    Article  ADS  Google Scholar 

  13. F. Gerbier, J. H. Thywissen, S. Richard, et al., Phys. Rev. Lett. 92, 030405 (2004), Phys. Rev. A 70, 013607 (2004).

    Google Scholar 

  14. Y.-M. Kao and T. F. Jiang, Phys. Rev. A 73, 043604 (2006).

    Google Scholar 

  15. V. N. Popov, Functional Integrals in Quantum Field Theory and Statistical Physics (Reidel, Dordrecht, 1983).

    MATH  Google Scholar 

  16. A. Griffin, Phys. Rev. A 53, 9341 (1996).

    Article  ADS  Google Scholar 

  17. N. Nygaard and K. Molmer, Phys. Rev. A 59, 2974 (1999).

    Article  ADS  Google Scholar 

  18. S. T. Chui and V. N. Ryzhov, Phys. Rev. A 69, 043607 (2004).

    Google Scholar 

  19. S. T. Chui, V. N. Ryzhov, and E. E. Tareyeva, JETP Lett. 80, 274 (2004).

    Article  ADS  Google Scholar 

  20. A. M. Belemuk, N. M. Chtchelkatchev, V. N. Ryzhov, and S.-T. Chui, Phys. Rev. A 73, 053608 (2006).

    Google Scholar 

  21. H. T. C. Stoof, in Coherent Atomic Matter Waves, Proc. of the Les Houches Summer School Session LXXII, UJF NATO Advanced Study Institute, 1999, Ed. by R. Kaiser, C. Westbrook, and F. David (EDP Sci., Springer, 2001), pp. 219–316.

    Google Scholar 

  22. D. A. Butts and D. S. Rokhsar, Phys. Rev. A 55, 4346 (1997).

    Article  ADS  Google Scholar 

  23. Yu. Kagan, E. L. Surkov, and G. V. Shlyapnikov, Phys. Rev. Lett. 79, 2604 (1996).

    Article  ADS  Google Scholar 

  24. Yu. Kagan, A. E. Muryshev, and G. V. Shlyapnikov, Phys. Rev. Lett. 81, 933 (1998).

    Article  ADS  Google Scholar 

  25. Yu. Kagan, G. V. Shlyapnikov, and J. T. M. Walraven, Phys. Rev. Lett. 76, 2670 (1996).

    Article  ADS  Google Scholar 

  26. E. A. Burt, R. W. Ghrist, C. J. Myatt, et al., Phys. Rev. Lett. 79, 337 (1997).

    Article  ADS  Google Scholar 

  27. M. Bijlsma and H. T. C. Stoof, Phys. Rev. A 54, 5085 (1996).

    Article  ADS  Google Scholar 

  28. E. Burovski, N. Prokof’ev, B. Svistunov, and M. Troyer, Phys. Rev. Lett. 96, 160402 (2006).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to V. N. Ryzhov.

Additional information

Original Russian Text © A.M. Belemuk, V.N. Ryzhov, 2008, published in Pis’ma v Zhurnal Éksperimental’noĭ i Teoreticheskoĭ Fiziki, 2008, Vol. 87, No. 7, pp. 438–442.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Belemuk, A.M., Ryzhov, V.N. On the critical temperature in a Boson-Fermion mixture with attraction between the components. Jetp Lett. 87, 376–380 (2008). https://doi.org/10.1134/S0021364008070096

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0021364008070096

PACS numbers

Navigation