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.
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References
L. Landau, Phys. Rev. 60, 356 (1941)
P.A. Cherenkov, Doklady Akademii Nauk SSSR 2, 451 (1934)
W. Thomson, Proc. Inst. Mech. Eng. 38, 409 (1887)
E. Raphaël, P.-G. de Gennes, Phys. Rev. E 53, 3448 (1996)
J. Wilks, D.S. Betts, An introduction to liquid helium (Oxford Science Publications. Clarendon Press, 1987)
C. Raman, M. Köhl, R. Onofrio, D.S. Durfee, C.E. Kuklewicz, Z. Hadzibabic, W. Ketterle, Phys. Rev. Lett. 83, 2502 (1999)
D. Miller, J. Chin, C. Stan, Y. Liu, W. Setiawan, C. Sanner, W. Ketterle, Phys. Rev. Lett. 99, 070402 (2007)
R. Desbuquois, L. Chomaz, T. Yefsah, J. Léonard, J. Beugnon, C. Weitenberg, J. Dalibard, Nat. Phys. 8, 645 (2012)
K.C. Wright, R.B. Blakestad, C.J. Lobb, W.D. Phillips, G.K. Campbell, Phys. Rev. A 88, 063633 (2013)
W. Weimer, K. Morgener, V. Pal Singh, J. Siegl, K. Hueck, N. Luick, L. Mathey, H. Moritz, Phys. Rev. Lett. 114, 095301 (2015)
M. Delehaye, S. Laurent, I. Ferrier-Barbut, S. Jin, F. Chevy, C. Salomon, Phys. Rev. Lett. 115, 265303 (2015)
A. Amo, J. Lefrère, S. Pigeon, C. Adrados, C. Ciuti, I. Carusotto, R. Houdré, E. Giacobino, A. Bramati, Nat. Phys. 5, 805 (2009)
R.P. Feynman, in Progress in Low Temperature Physics (1955), Vol. 1, Chap. II, pp. 17–53
T. Frisch, Y. Pomeau, S. Rica, Phys. Rev. Lett. 69, 1644 (1992)
B. Jackson, J.F. McCann, C.S. Adams, Phys. Rev. A 61, 051603 (2000)
C. Nore, C. Huepe, M.E. Brachet, Phys. Rev. Lett. 84, 2191 (2000)
W.J. Kwon, G. Moon, S.W. Seo, Y. Shin, Phys. Rev. A 91, 053615 (2015)
R. Combescot, M. Kagan, S. Stringari, Phys. Rev. A 74, 042717 (2006)
P.O. Fedichev, G.V. Shlyapnikov, Phys. Rev. A 63, 045601 (2001)
P.-P. Crépin, X. Leyronas, F. Chevy, Europhys. Lett. 114, 60005 (2016)
A.G. Sykes, M.J. Davis, D.C. Roberts, Phys. Rev. Lett. 103, 085302 (2009)
V. Pal Singh, W. Weimer, K. Morgener, J. Siegl, K. Hueck, N. Luick, H. Moritz, L. Mathey, Phys. Rev. A 93, 023634 (2016)
G. Lang, F. Hekking, A. Minguzzi, Phys. Rev. A 91, 063619 (2015)
A.D. Chepelianskii, F. Chevy, E. Raphael, Phys. Rev. Lett. 100, 074504 (2008)
J.D. Jackson, Classical electrodynamics (Wiley, 1999)
S. Stringari, Phys. Rev. A 58, 2385 (1998)
E. Zaremba, Phys. Rev. A 57, 518 (1998)
P. Capuzzi, P. Vignolo, F. Federici, M.P. Tosi, Phys. Rev. A 73, 021603 (2006)
W. Zwerger, in Lecture Notes in Physics (Springer, Berlin, 2012), Vol. 836
M. Abramowitz, I.A. Stegun, in Handbook of mathematical functions: with formulas, graphs, and mathematical tables (Courier Corporation, 1964), Vol. 55
R. Onofrio, C. Raman, J.M. Vogels, J.R. Abo-Shaeer, A.P. Chikkatur, W. Ketterle, Phys. Rev. Lett. 85, 2228 (2000)
I. Ferrier-Barbut, M. Delehaye, S. Laurent, A.T. Grier, M. Pierce, B.S. Rem, F. Chevy, C. Salomon, Science 345, 1035 (2014)
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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
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DOI: https://doi.org/10.1140/epjst/e2018-800024-0