Abstract
We investigate the critical velocity of a weakly interacting Bose gas flowing in a random potential. By applying the Bogoliubov theory to a disordered Bose system with a steady flow, we determine the critical velocity for weak and moderate disorder. We also calculate the superfluid density and the condensate density as a function of the disorder strength and the flow velocity, and their behaviors near the critical velocity are discussed.
Similar content being viewed by others
References
S. Inouye, S. Gupta, T. Rosenband, A.P. Chikkatur, A. Görlitz, T.L. Gustavson, A.E. Leanhardt, D.E. Pritchard, W. Ketterle, Phys. Rev. Lett. 87, 080402 (2001)
J. Mun, P. Medley, G.K. Campbell, L.G. Marcassa, D.E. Pritchard, W. Ketterle, Phys. Rev. Lett. 99, 150604 (2007)
T. Frisch, Y. Pomeau, S. Rica, Phys. Rev. Lett. 69, 1644 (1992)
N. Pavloff, Phys. Rev. A 66, 013610 (2002)
L. Tanzi, E. Lucioni, S. Chaudhuri, L. Gori, A. Kumar, C. DfErrico, M. Inguscio, G. Modugno, Phys. Rev. Lett. 111, 115301 (2013)
M. Albert, T. Paul, N. Pavloff, P. Leboeuf, Phys. Rev. A 82, 011602(R) (2010)
T. Paul, P. Schlagheck, P. Leboeuf, N. Pavloff, Phys. Rev. Lett. 98, 210602 (2007)
M.P.A. Fisher, P.B. Weichman, G. Grinstein, D.S. Fisher, Phys. Rev. B 40, 546 (1989)
S.G. Söyler, M. Kiselev, N.V. Prokof’ev, B.V. Svistunov, Phys. Rev. Lett. 107, 185301 (2011)
V.I. Yukalov, Ann. Phys. (N.Y.) 323, 461 (2008)
V.I. Yukalov, R. Graham, Phys. Rev. A 75, 023619 (2007)
I. Danshita, S. Tsuchiya, Phys. Rev. A 75, 033612 (2007)
Acknowledgments
The author thanks Michikazu Kobayashi for fruitful discussions. The present study was supported by a Grant-in-Aid for JSPS Fellows (No. 15J01614).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Haga, T. Critical Velocity of a Superfluid Bose Gas Flowing in a Random Potential. J Low Temp Phys 183, 136–143 (2016). https://doi.org/10.1007/s10909-016-1527-7
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10909-016-1527-7