Advertisement

Hydrodynamic response of a trapped superfluid to a periodic perturbation

  • Shuwei Jin
  • Sébastien Laurent
  • Frédéric ChevyEmail author
Regular Article
  • 10 Downloads
Part of the following topical collections:
  1. Non-equilibrium Dynamics: Quantum Systems and Foundations of Quantum Mechanics

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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    L. Landau, Phys. Rev. 60, 356 (1941) ADSCrossRefGoogle Scholar
  2. 2.
    P.A. Cherenkov, Doklady Akademii Nauk SSSR 2, 451 (1934) Google Scholar
  3. 3.
    W. Thomson, Proc. Inst. Mech. Eng. 38, 409 (1887) CrossRefGoogle Scholar
  4. 4.
    E. Raphaël, P.-G. de Gennes, Phys. Rev. E 53, 3448 (1996) ADSMathSciNetCrossRefGoogle Scholar
  5. 5.
    J. Wilks, D.S. Betts, An introduction to liquid helium (Oxford Science Publications. Clarendon Press, 1987) Google Scholar
  6. 6.
    C. Raman, M. Köhl, R. Onofrio, D.S. Durfee, C.E. Kuklewicz, Z. Hadzibabic, W. Ketterle, Phys. Rev. Lett. 83, 2502 (1999) ADSCrossRefGoogle Scholar
  7. 7.
    D. Miller, J. Chin, C. Stan, Y. Liu, W. Setiawan, C. Sanner, W. Ketterle, Phys. Rev. Lett. 99, 070402 (2007) ADSCrossRefGoogle Scholar
  8. 8.
    R. Desbuquois, L. Chomaz, T. Yefsah, J. Léonard, J. Beugnon, C. Weitenberg, J. Dalibard, Nat. Phys. 8, 645 (2012) CrossRefGoogle Scholar
  9. 9.
    K.C. Wright, R.B. Blakestad, C.J. Lobb, W.D. Phillips, G.K. Campbell, Phys. Rev. A 88, 063633 (2013) ADSCrossRefGoogle Scholar
  10. 10.
    W. Weimer, K. Morgener, V. Pal Singh, J. Siegl, K. Hueck, N. Luick, L. Mathey, H. Moritz, Phys. Rev. Lett. 114, 095301 (2015) ADSCrossRefGoogle Scholar
  11. 11.
    M. Delehaye, S. Laurent, I. Ferrier-Barbut, S. Jin, F. Chevy, C. Salomon, Phys. Rev. Lett. 115, 265303 (2015) ADSCrossRefGoogle Scholar
  12. 12.
    A. Amo, J. Lefrère, S. Pigeon, C. Adrados, C. Ciuti, I. Carusotto, R. Houdré, E. Giacobino, A. Bramati, Nat. Phys. 5, 805 (2009) CrossRefGoogle Scholar
  13. 13.
    R.P. Feynman, in Progress in Low Temperature Physics (1955), Vol. 1, Chap. II, pp. 17–53 CrossRefGoogle Scholar
  14. 14.
    T. Frisch, Y. Pomeau, S. Rica, Phys. Rev. Lett. 69, 1644 (1992) ADSCrossRefGoogle Scholar
  15. 15.
    B. Jackson, J.F. McCann, C.S. Adams, Phys. Rev. A 61, 051603 (2000) ADSCrossRefGoogle Scholar
  16. 16.
    C. Nore, C. Huepe, M.E. Brachet, Phys. Rev. Lett. 84, 2191 (2000) ADSCrossRefGoogle Scholar
  17. 17.
    W.J. Kwon, G. Moon, S.W. Seo, Y. Shin, Phys. Rev. A 91, 053615 (2015) ADSCrossRefGoogle Scholar
  18. 18.
    R. Combescot, M. Kagan, S. Stringari, Phys. Rev. A 74, 042717 (2006) ADSCrossRefGoogle Scholar
  19. 19.
    P.O. Fedichev, G.V. Shlyapnikov, Phys. Rev. A 63, 045601 (2001) ADSCrossRefGoogle Scholar
  20. 20.
    P.-P. Crépin, X. Leyronas, F. Chevy, Europhys. Lett. 114, 60005 (2016) ADSCrossRefGoogle Scholar
  21. 21.
    A.G. Sykes, M.J. Davis, D.C. Roberts, Phys. Rev. Lett. 103, 085302 (2009) ADSCrossRefGoogle Scholar
  22. 22.
    V. Pal Singh, W. Weimer, K. Morgener, J. Siegl, K. Hueck, N. Luick, H. Moritz, L. Mathey, Phys. Rev. A 93, 023634 (2016) ADSCrossRefGoogle Scholar
  23. 23.
    G. Lang, F. Hekking, A. Minguzzi, Phys. Rev. A 91, 063619 (2015) ADSCrossRefGoogle Scholar
  24. 24.
    A.D. Chepelianskii, F. Chevy, E. Raphael, Phys. Rev. Lett. 100, 074504 (2008) ADSCrossRefGoogle Scholar
  25. 25.
    J.D. Jackson, Classical electrodynamics (Wiley, 1999) Google Scholar
  26. 26.
    S. Stringari, Phys. Rev. A 58, 2385 (1998) ADSCrossRefGoogle Scholar
  27. 27.
    E. Zaremba, Phys. Rev. A 57, 518 (1998) ADSCrossRefGoogle Scholar
  28. 28.
    P. Capuzzi, P. Vignolo, F. Federici, M.P. Tosi, Phys. Rev. A 73, 021603 (2006) ADSCrossRefGoogle Scholar
  29. 29.
    W. Zwerger, in Lecture Notes in Physics (Springer, Berlin, 2012), Vol. 836 Google Scholar
  30. 30.
    M. Abramowitz, I.A. Stegun, in Handbook of mathematical functions: with formulas, graphs, and mathematical tables (Courier Corporation, 1964), Vol. 55 Google Scholar
  31. 31.
    R. Onofrio, C. Raman, J.M. Vogels, J.R. Abo-Shaeer, A.P. Chikkatur, W. Ketterle, Phys. Rev. Lett. 85, 2228 (2000) ADSCrossRefGoogle Scholar
  32. 32.
    I. Ferrier-Barbut, M. Delehaye, S. Laurent, A.T. Grier, M. Pierce, B.S. Rem, F. Chevy, C. Salomon, Science 345, 1035 (2014) ADSCrossRefGoogle Scholar

Copyright information

© EDP Sciences, Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Laboratoire Kastler BrosselENS-PSL Research University, CNRS, Sorbonne Université, Collège de FranceParisFrance

Personalised recommendations