Abstract
This paper discusses the motion of objects through quantum fluids described by the Gross Pitaevskii (GP) equation. The object moves without dissipation at velocities below a threshold which corresponds to the critical velocity for vortex nucleation. Above the critical velocity, vortex shedding is the dominant mechanism of energy transfer between the object and the fluid. We compare the predictions of the GP model with experiments on an oscillating laser beam in an alkali vapour Bose Einstein condensate and ions in superfluid helium-4.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
See e.g. Bose-Einstein condensation in atomic gases, Proc. Int. School of Physics Enrico Fermi, eds. M. Inguscio, S. Stringari and C. Wieman (IOS Press, Amsterdam, 1999).
D. R. Tilley and J. Tilley, Superfluidity and superconductivity, 3rd Ed., (IoP, Bristol, 1990).
V. L. Ginzberg and L. P. Pitaevskii, Zh. Eksp. Teor. Fiz. 34, 1240 (1958) [Sov. Phys. JETP 7, 858 (1958)]; E. P. Gross, Nuovo Cimento 20, 454 (1961) and J. Math. Phys. 4, 195 (1963).
T. Winiecki, B. Jackson, J. F. McCann, and C. S. Adams, J. Phys. B. 33, 4069 (2000).
B. Jackson, J. F. McCann, and C. S. Adams, Phys. Rev. Lett. 80, 3903 (1998).
B. M. Caradoc-Davies, R. J. Ballagh, and K. Burnett, Phys. Rev. Lett. 83, 895 (1999).
M. R. Matthews, B. P. Anderson, P. C. Haljan, D. S. Hall, C. E. Wieman, and E. A. Cornell, Phys. Rev. Lett. 83, 2498 (1999).
K. W. Madison, F. Chevy, W. Wohlleben, and J. Dalibard, Phys. Rev. Lett. 84, 806 (2000).
C. Raman, M. Köhl, R. Onofrio, D. S. Durfee, C. E. Kuklewicz, Z. Hadzibabic, and W. Ketterle, Phys. Rev. Lett. 83, 2502 (1999).
R. Onofrio, C. Raman, J. M. Vogels, J. Abo-Shaeer, A. P. Chikkatur, and W. Ketterle, preprint, Phys. Rev. Lett. 85, 2228 (2000).
B. Jackson, J. F. McCann, and C. S. Adams, Phys. Rev. A 61, 051603 (R) (2000).
T. Frisch, Y. Pomeau, and S. Rica, Phys. Rev. Lett. 69, 1644 (1992).
T. Winiecki, J. F. McCann, and C. S. Adams, Phys. Rev. Lett. 82, 5186 (1999).
P. Nozières and D. Pines, Theory of Quantum Liquids Vol II (Addison-Wesley, Redwood City, 1990).
Fluid Mechanics (2nd ed.), L. D. Landau and E. M. Lifshitz (Pergamon, Oxford, 1987).
C. Huepe and M.-É. Brachet, C. R. Acad. Sci. Paris, 325, Série 2 b, 195 (1997).
T. Winiecki, J. F. McCann, and C. S. Adams, Europhys. Lett. 48, 475 (1999).
C. Huepe, M.-É. Brachet, Physica D, 140, 126 (2000).
T. Winiecki and C. S. Adams, Europhys. Lett. 52, 257 (2000).
N. G. Berlo. and P. H. Roberts, J. Phys. A 33, 4025 (2000).
C. Josserand, Y. Pomeau, and S. Rica, Physica D, 134 111 (1999)
S. Rica, Physcia D 148, 221 (2001).
M. Leadbeater, T. Winiecki, D. C. Samuels, C. F. Barenghi, and C. S. Adams, Phys. Rev. Lett. 86 no. 7 to appear (2001)
C. Nore, C. Huepe, and M. E. Brachet, Phys. Rev. Lett. 84, 2191 (2000).
P. O. Fedichev and G. V. Shlyapnikov, cond-mat/0004430.
P. O. Fedichev and G. V. Shlyapnikov, Phys. Rev. A 60 R1779 (1999).
B. Jackson, J. F. McCann, and C. S. Adams, Phys. Rev. A 61, 013604 (2000).
R. J. Donnelly Quantized vortices in Helium II, (CUP, Cambridge, 1991).
N. G. Berlo., J. Low Temp. Phys. 116, 359 (1999).
N. G. Berlo. and P. H. Roberts, J. Phys. A 32, 5611 (1999).
N. G. Berlo. and P. H. Roberts, Phys. Lett. A 274, 569 (2000).
R. J. Marshall, G. H. C. New, K. Burnett, and S. Choi, Phys. Rev. A 59, 2085 (1999).
M. J. Davis, S. A. Morgan and K. Burnett, cond-mat/0011431
M. Leadbeater and C. S. Adams, unpublished
C. M. Muirhead, W. F. Vinen, and R. J. Donnelly, Phil. Trans. R. Soc. Lond. A 311, 433 (1984).
G. W. Rayfield and F. Reif, Phys. Rev. 136, 1194 (1964).
G. W. Rayfield, Phys. Rev. Lett. 19, 1371 (1967).
P. C. Hendry, N. S. Lawson, P. V. E. McClintock, and C. D. H. Williams, Phys. Rev. Lett. 60, 604 (1988).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2001 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Adams, C., Jackson, B., Leadbeater, M., McCann, J., Winiecki, T. (2001). Motion of Objects Through Dilute Bose-Einstein Condensates. In: Barenghi, C.F., Donnelly, R.J., Vinen, W.F. (eds) Quantized Vortex Dynamics and Superfluid Turbulence. Lecture Notes in Physics, vol 571. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45542-6_30
Download citation
DOI: https://doi.org/10.1007/3-540-45542-6_30
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-42226-6
Online ISBN: 978-3-540-45542-4
eBook Packages: Springer Book Archive