Skip to main content
SpringerLink
Log in

Perturbation Theory for Superfluid in Nonuniform Potential

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

Abstract

Perturbation theory of superfluid fraction in terms of nonuniform potential is constructed. We find that the coefficient of the leading term is determined by the dynamical structure factor or density fluctuation of the system. The results for the ideal Bose gas and the interacting Bose system with linear dispersion are consistent to implications from Landau’s criterion. We also find that the superfluidity of Tomonaga–Luttinger liquid with \(K>2\) is shown to be stable against nonuniform potential.

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

Fig. 1

Similar content being viewed by others

References

  1. J.M. Kosterlitz, D.J. Thouless, J. Phys. C 6, 1181 (1973)

    Article  ADS  Google Scholar 

  2. E.H. Lieb, W. Liniger, Phys. Rev. 130, 1605 (1963)

    Article  ADS  MathSciNet  Google Scholar 

  3. E.H. Lieb, Phys. Rev. 130, 1616 (1963)

    Article  ADS  MathSciNet  Google Scholar 

  4. M. Könenberg, T. Moser, R. Seiringer, J. Yngvason, New J. Phys. 17, 013022 (2015)

    Article  Google Scholar 

  5. A.J. Leggett, Phys. Rev. Lett. 25, 1543 (1970)

    Article  ADS  Google Scholar 

  6. A.J. Leggett, J. Stat. Phys. 93, 927 (1998)

    Article  ADS  MathSciNet  Google Scholar 

  7. G.E. Astrakharchik, J. Boronat, J. Casulleras, S. Giorgini, Phys. Rev. A 66, 023603 (2002)

    Article  ADS  Google Scholar 

  8. M. Kobayashi, M. Tsubota, Phys. Rev. B 66, 174516 (2002)

    Article  ADS  Google Scholar 

  9. T. Giamarchi, Quantum Physics in One Dimension (Oxford University Press, Oxford, 2004)

    MATH  Google Scholar 

  10. K. Kim, W.F. Saam, Phys. Rev. B 48, 13735 (1993)

    Article  ADS  Google Scholar 

  11. H. Watanabe, T. Brauner, Phys. Rev. D 85, 085010 (2012)

    Article  ADS  Google Scholar 

  12. W.M. Saslow, J. Low Temp. Phys. 169, 248 (2012)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Basic Science, The University of Tokyo, 3-8-1, Komaba, Meguro-ku, Tokyo, 153-8902, Japan

    Shinji Koshida & Yusuke Kato

Authors
  1. Shinji Koshida
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Yusuke Kato
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Shinji Koshida.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Koshida, S., Kato, Y. Perturbation Theory for Superfluid in Nonuniform Potential. J Low Temp Phys 183, 71–77 (2016). https://doi.org/10.1007/s10909-015-1394-7

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10909-015-1394-7

Keywords

Search

Navigation