Skip to main content
SpringerLink
Log in

Hydrodynamic response of a trapped superfluid to a periodic perturbation

  • Regular Article
  • Published:
The European Physical Journal Special Topics Aims and scope Submit manuscript

Abstract

In this article, we discuss the hydrodynamic response of a superfluid to a periodic drive. Using a WKB description of the hydrodynamic modes of the system, we show that contrary to Landau’s argument, there is no critical velocity, but that the dissipated power nevertheless increases rapidly when the maximum velocity of the perturbation reaches the central sound velocity of the superfluid.

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. L. Landau, Phys. Rev. 60, 356 (1941)

    Article  ADS  Google Scholar 

  2. P.A. Cherenkov, Doklady Akademii Nauk SSSR 2, 451 (1934)

    Google Scholar 

  3. W. Thomson, Proc. Inst. Mech. Eng. 38, 409 (1887)

    Article  Google Scholar 

  4. E. Raphaël, P.-G. de Gennes, Phys. Rev. E 53, 3448 (1996)

    Article  ADS  MathSciNet  Google Scholar 

  5. J. Wilks, D.S. Betts, An introduction to liquid helium (Oxford Science Publications. Clarendon Press, 1987)

  6. C. Raman, M. Köhl, R. Onofrio, D.S. Durfee, C.E. Kuklewicz, Z. Hadzibabic, W. Ketterle, Phys. Rev. Lett. 83, 2502 (1999)

    Article  ADS  Google Scholar 

  7. D. Miller, J. Chin, C. Stan, Y. Liu, W. Setiawan, C. Sanner, W. Ketterle, Phys. Rev. Lett. 99, 070402 (2007)

    Article  ADS  Google Scholar 

  8. R. Desbuquois, L. Chomaz, T. Yefsah, J. Léonard, J. Beugnon, C. Weitenberg, J. Dalibard, Nat. Phys. 8, 645 (2012)

    Article  Google Scholar 

  9. K.C. Wright, R.B. Blakestad, C.J. Lobb, W.D. Phillips, G.K. Campbell, Phys. Rev. A 88, 063633 (2013)

    Article  ADS  Google Scholar 

  10. W. Weimer, K. Morgener, V. Pal Singh, J. Siegl, K. Hueck, N. Luick, L. Mathey, H. Moritz, Phys. Rev. Lett. 114, 095301 (2015)

    Article  ADS  Google Scholar 

  11. M. Delehaye, S. Laurent, I. Ferrier-Barbut, S. Jin, F. Chevy, C. Salomon, Phys. Rev. Lett. 115, 265303 (2015)

    Article  ADS  Google Scholar 

  12. A. Amo, J. Lefrère, S. Pigeon, C. Adrados, C. Ciuti, I. Carusotto, R. Houdré, E. Giacobino, A. Bramati, Nat. Phys. 5, 805 (2009)

    Article  Google Scholar 

  13. R.P. Feynman, in Progress in Low Temperature Physics (1955), Vol. 1, Chap. II, pp. 17–53

    Article  Google Scholar 

  14. T. Frisch, Y. Pomeau, S. Rica, Phys. Rev. Lett. 69, 1644 (1992)

    Article  ADS  Google Scholar 

  15. B. Jackson, J.F. McCann, C.S. Adams, Phys. Rev. A 61, 051603 (2000)

    Article  ADS  Google Scholar 

  16. C. Nore, C. Huepe, M.E. Brachet, Phys. Rev. Lett. 84, 2191 (2000)

    Article  ADS  Google Scholar 

  17. W.J. Kwon, G. Moon, S.W. Seo, Y. Shin, Phys. Rev. A 91, 053615 (2015)

    Article  ADS  Google Scholar 

  18. R. Combescot, M. Kagan, S. Stringari, Phys. Rev. A 74, 042717 (2006)

    Article  ADS  Google Scholar 

  19. P.O. Fedichev, G.V. Shlyapnikov, Phys. Rev. A 63, 045601 (2001)

    Article  ADS  Google Scholar 

  20. P.-P. Crépin, X. Leyronas, F. Chevy, Europhys. Lett. 114, 60005 (2016)

    Article  ADS  Google Scholar 

  21. A.G. Sykes, M.J. Davis, D.C. Roberts, Phys. Rev. Lett. 103, 085302 (2009)

    Article  ADS  Google Scholar 

  22. V. Pal Singh, W. Weimer, K. Morgener, J. Siegl, K. Hueck, N. Luick, H. Moritz, L. Mathey, Phys. Rev. A 93, 023634 (2016)

    Article  ADS  Google Scholar 

  23. G. Lang, F. Hekking, A. Minguzzi, Phys. Rev. A 91, 063619 (2015)

    Article  ADS  Google Scholar 

  24. A.D. Chepelianskii, F. Chevy, E. Raphael, Phys. Rev. Lett. 100, 074504 (2008)

    Article  ADS  Google Scholar 

  25. J.D. Jackson, Classical electrodynamics (Wiley, 1999)

  26. S. Stringari, Phys. Rev. A 58, 2385 (1998)

    Article  ADS  Google Scholar 

  27. E. Zaremba, Phys. Rev. A 57, 518 (1998)

    Article  ADS  Google Scholar 

  28. P. Capuzzi, P. Vignolo, F. Federici, M.P. Tosi, Phys. Rev. A 73, 021603 (2006)

    Article  ADS  Google Scholar 

  29. W. Zwerger, in Lecture Notes in Physics (Springer, Berlin, 2012), Vol. 836

  30. M. Abramowitz, I.A. Stegun, in Handbook of mathematical functions: with formulas, graphs, and mathematical tables (Courier Corporation, 1964), Vol. 55

  31. R. Onofrio, C. Raman, J.M. Vogels, J.R. Abo-Shaeer, A.P. Chikkatur, W. Ketterle, Phys. Rev. Lett. 85, 2228 (2000)

    Article  ADS  Google Scholar 

  32. I. Ferrier-Barbut, M. Delehaye, S. Laurent, A.T. Grier, M. Pierce, B.S. Rem, F. Chevy, C. Salomon, Science 345, 1035 (2014)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Laboratoire Kastler Brossel, ENS-PSL Research University, CNRS, Sorbonne Université, Collège de France, 24 rue Lhomond, 75005, Paris, France

    Shuwei Jin, Sébastien Laurent & Frédéric Chevy

Authors
  1. Shuwei Jin
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Sébastien Laurent
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Frédéric Chevy
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Frédéric Chevy.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Jin, S., Laurent, S. & Chevy, F. Hydrodynamic response of a trapped superfluid to a periodic perturbation. Eur. Phys. J. Spec. Top. 227, 2263–2273 (2019). https://doi.org/10.1140/epjst/e2018-800024-0

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjst/e2018-800024-0

Search

Navigation