Skip to main content
SpringerLink
Log in

Bose and Fermi Gases with Lennard–Jones Interactions

  • Published:
Journal of Low Temperature Physics Aims and scope Submit manuscript

Abstract

We study a model for cold Bose and Fermi gases based on the Lennard–Jones interaction, using the optimized (Fermi-)hypernetted-chain ((F)HNC-EL) method. For comparison, we also have carried out path integral ground state Monte Carlo (PIGSMC) simulations in the Bose case. By varying the density and the coupling strength for the Lennard–Jones potential, we cover the whole range of dilute, weakly interacting gases up to the dense, strongly interacting case of liquid 3He and 4He. Below about 20 percent helium equilibrium density, the simplest version of the (F)HNC-EL theory is accurate within better than 1 percent.

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

We’re sorry, something doesn't seem to be working properly.

Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.

References

  1. L.D. Landau, E.M. Lifshitz, Statistical Physics, Course of Theoretical Physics, vol. V (Pergamon, London, 1958)

    Google Scholar 

  2. J. de Boer, A. Michels, Physica 6, 945 (1938)

    Article  Google Scholar 

  3. F. Luo, G.C. Mc Bane, G. Kim, C.F. Giese, W.R. Gentry, J. Chem. Phys. 98, 3564 (1993)

    Article  ADS  Google Scholar 

  4. F. Luo, C.F. Giese, W.R. Gentry, J. Chem. Phys. 104, 1151 (1996)

    Article  ADS  Google Scholar 

  5. W. Schöllkopf, J.P. Toennies, J. Chem. Phys. 104, 1155 (1996)

    Article  ADS  Google Scholar 

  6. E. Feenberg, Theory of Quantum Fluids (Academic Press, New York, 1969)

    Google Scholar 

  7. H.K. Sim, C.-W. Woo, J.R. Buchler, Phys. Rev. A 2, 2024 (1970)

    Article  ADS  Google Scholar 

  8. A.D. Jackson, A. Lande, R.A. Smith, Phys. Rep. 86, 55 (1982)

    Article  ADS  Google Scholar 

  9. A.D. Jackson, A. Lande, R.A. Smith, Phys. Rev. Lett. 54, 1469 (1985)

    Article  ADS  Google Scholar 

  10. E. Krotscheck, R.A. Smith, A.D. Jackson, Phys. Rev. A 33, 3535 (1986)

    Article  ADS  Google Scholar 

  11. R.F. Bishop, in Condensed Matter Theories, vol. 10, ed. by M. Casas, J. Navarro, A. Polls (Nova Science Publishers, Commack, New York, 1995), pp. 483–508

    Google Scholar 

  12. C.E. Campbell, R. Folk, E. Krotscheck, J. Low Temp. Phys. 105, 13 (1996)

    Article  ADS  Google Scholar 

  13. A.D. Jackson, A. Lande, R.W. Guitink, R.A. Smith, Phys. Rev. B 31, 403 (1985)

    Article  ADS  Google Scholar 

  14. A. Sarsa, K. Schmidt, W. Magro, J. Chem. Phys. 113, 1366 (2000)

    Article  ADS  Google Scholar 

  15. R.E. Zillich, J.M. Mayrhofer, S.A. Chin, J. Chem. Phys. 132, 044103 (2010)

    Article  ADS  Google Scholar 

  16. K. Huang, C.N. Yang, Phys. Rev. 105, 767 (1957)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  17. T.D. Lee, C.N. Yang, Phys. Rev. 105, 1119 (1957)

    Article  MathSciNet  ADS  Google Scholar 

  18. E. Krotscheck, J. Low Temp. Phys. 119, 103 (2000)

    Article  Google Scholar 

  19. E. Krotscheck, in Introduction to Modern Methods of Quantum Many-Body Theory and Their Applications, Advances in Quantum Many-Body Theory, ed. by A. Fabrocini, S. Fantoni, E. Krotscheck, vol. 7 (World Scientific, Singapore, 2002), pp. 267–330

    Google Scholar 

  20. E. Krotscheck, Phys. Rev. A 15, 397 (1977)

    Article  ADS  Google Scholar 

  21. G.E. Astrakharchik, J. Boronat, J. Casulleras, S. Giorgini, Phys. Rev. Lett. 93, 200404 (2004)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute for Theoretical Physics, Johannes Kepler University, Linz, Austria

    J. Egger, E. Krotscheck & R. E. Zillich

  2. Department of Physics, University at Buffalo, Suny Buffalo, NY, 14260, USA

    E. Krotscheck

Authors
  1. J. Egger
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. E. Krotscheck
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. R. E. Zillich
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to E. Krotscheck.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Egger, J., Krotscheck, E. & Zillich, R.E. Bose and Fermi Gases with Lennard–Jones Interactions. J Low Temp Phys 165, 275–291 (2011). https://doi.org/10.1007/s10909-011-0402-9

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10909-011-0402-9

Keywords

Search

Navigation