Abstract
We review recent important topics in quantized vortices and quantum turbulence in atomic Bose–Einstein condensates (BECs). They have previously been studied for a long time in superfluid helium. Quantum turbulence is currently one of the most important topics in low-temperature physics. Atomic BECs have two distinct advantages over liquid helium for investigating such topics: quantized vortices can be directly visualized and the interaction parameters can be controlled by the Feshbach resonance. A general introduction is followed by a description of the dynamics of quantized vortices, hydrodynamic instability, and quantum turbulence in atomic BECs.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
U. Frisch, Turbulence (Cambridge University Press, Cambridge, 1995)
E.P. Gross, Nuovo Cimento 20, 454 (1961)
L.P. Pitaevskii, Zh. Eksp. Teor. Fiz. 40, 646 (1961). [Sov. Phys. JETP 13, 451 (1961)]
C.J. Pethick, H. Smith, Bose-Einstein Condensation in Dilute Gases, 2nd edn. (Cambridge University Press, Cambridge, 2008)
L.P. Pitaevskii, S. Stringari, Bose-Einstein Condensation (Oxford University Press, Oxford, 2003)
A.L. Fetter, Rev. Mod. Phys. 81, 647 (2009)
K. Kasamatsu, M. Tsubota, in Progress in Low Temperature Physics, vol. XVI, ed. by W.P. Halperin, M. Tsubota (Elsevier, Amsterdam, 2009), pp. 351–403
T.W. Neely, E.C. Samson, A.S. Bradley, M.J. Davis, B.P. Anderson, Phys. Rev. Lett. 104, 160401 (2010)
D.V. Freilich, D.M. Bianchi, A.M. Kaufman, T.K. Langin, D.S. Halls, Science 329, 1182 (2010)
T.W.B. Kibble, J. Phys. A 9, 1387 (1976)
W.H. Zurek, Nature 317, 505 (1985)
C.N. Weiler, T.W. Neely, D.R. Scherer, A.S. Bradley, M.J. Davis, B.P. Anderson, Nature (London) 455, 948 (2008)
A.L. Fetter, A.A. Svidzinsky, J. Phys. Condens. Matter 13, R135 (2001)
P. Kuopanportti, J.A.M. Huhtamäki, M. Möttönen, Phys. Rev. A 83, 011603(R) (2011)
S. Middelkamp, P.J. Torres, P.G. Kevrekidis, D.J. Frantzeskakis, R. Carretero-González, P. Schmelcher, D.V. Freilich, D.S. Hall, Phys. Rev. A 84, 011605(R) (2011)
K. Sasaki, N. Suzuki, H. Saito, Phys. Rev. Lett. 104, 150404 (2010)
T. Aioi, T. Kadokura, T. Kishimoto, H. Saito, Phys. Rev. X 1, 021003 (2011)
L. Skrbek, W.F. Vinen, in Progress in Low Temperature Physics, vol. XVI, ed. by W.P. Halperin, M. Tsubota (Elsevier, Amsterdam, 2009), pp. 195–246
K. Fujimoto, M. Tsubota, Phys. Rev. A 82, 043611 (2010)
K. Fujimoto, M. Tsubota, Phys. Rev. A 83, 053609 (2011)
M. Tsubota, M. Kobayashi, in Progress in Low Temperature Physics, vol. XVI, ed. by W.P. Halperin, M. Tsubota (Elsevier, Amsterdam, 2009), pp. 1–43
V. Bretin, P. Rosenbusch, F. Chevy, G.V. Shlyapnikov, J. Dalibard, Phys. Rev. Lett. 90, 100403 (2003)
T. Mizushima, M. Ichioka, K. Machida, Phys. Rev. Lett. 90, 180401 (2003)
T.P. Simula, T. Mizushima, K. Machida, Phys. Rev. Lett. 101, 020402 (2008)
S.J. Rooney, P.B. Blakie, B.P. Anderson, A.C. Bradley, Phys. Rev. A 84, 023637 (2011)
N.G. Berloff, B.V. Svistunov, Phys. Rev. A 66, 013603 (2002)
K.W. Madison, F. Chevy, W. Wohlleben, J. Dalibard, Phys. Rev. Lett. 84, 806 (2000)
J.R. Abo-Shaeer, C. Raman, J.M. Vogels, W. Ketterle, Science 292, 476 (2001)
E. Hodby, G. Hechenblaikner, S.A. Hopkins, O.M. MaragĂł, C.J. Foot, Phys. Rev. Lett. 88, 010405 (2002)
M. Tsubota, K. Kasamatsu, M. Ueda, Phys. Rev. A 65, 023603 (2002)
N.G. Parker, C.S. Adams, Phys. Rev. Lett. 95, 145301 (2005)
M. Kobayashi, M. Tsubota, Phys. Rev. A 76, 045603 (2007)
M. Tsubota, T. Araki, C.F. Barenghi, Phys. Rev. Lett. 90, 205301 (2003)
H. Takeuchi, K. Kasamatsu, M. Tsubota, Phys. Rev. A 79, 033619 (2009)
E.A.L. Henn, J.A. Seman, E.R.F. Ramos, M. Caracanhas, P. Castilho, E.P. OlĂmpio, G. Roati, D.V. MagalhĂŁes, K.M.F. MagalhĂŁes, V.S. Bagnato, Phys. Rev. A 79, 043618 (2009)
E.A.L. Henn, J.A. Seman, G. Roati, K.M.F. MagalhĂŁes, V.S. Bagnato, Phys. Rev. Lett. 103, 045301 (2009)
W.F. Vinen, J. Low Temp. Phys. 161, 419 (2010)
A.C. White, C.F. Barenghi, N.P. Proukakis, A.J. Youd, D.H. Wacks, Phys. Rev. Lett. 104, 075301 (2010)
H. Adachi, M. Tsubota, Phys. Rev. B 83, 132503 (2011)
M. Caracanhas, A.L. Fetter, S.R. Muniz, K.M.F. MagalhĂŁes, G. Roati, G. Bagnato, V.S. Bagnato, J. Low Temp. Phys. 166, 49 (2012)
V. Schweikhard, I. Coddington, P. Engels, S. Tung, E.A. Cornell, Phys. Rev. Lett. 93, 210403 (2004)
G. Thalhammer, G. Barontini, L. De Sarlo, J. Catani, F. Minardi, M. Inguscio, Phys. Rev. Lett. 100, 210402 (2008)
S.B. Papp, J.M. Pino, C.E. Wieman, Phys. Rev. Lett. 101, 040402 (2008)
S. Tojo, Y. Taguchi, Y. Masuyama, T. Hayashi, H. Saito, T. Hirano, Phys. Rev. A 82, 033609 (2010)
C.K. Law, C.M. Chan, P.T. Leung, M.-C. Chu, Phys. Rev. A 63, 063612 (2001)
H. Takeuchi, S. Ishino, M. Tsubota, Phys. Rev. Lett. 105, 205301 (2010)
S. Ishino, M. Tsubota, H. Takeuchi, Phys. Rev. A 83, 063602 (2011)
C. Hamner, J.J. Chang, P. Engels, M.A. Hoefer, Phys. Rev. Lett. 106, 065302 (2011)
B.P. Anderson, P.C. Haljan, C.A. Regal, D.L. Feder, L.A. Collins, C.W. Clark, E.A. Cornell, Phys. Rev. Lett. 86, 2926 (2001)
H. Adachi, S. Fujiyama, M. Tsubota, Phys. Rev. B 81, 104511 (2010)
M.A. Hoefer, J.J. Chang, C. Hamner, P. Engels, Phys. Rev. A 84, 041605 (2011)
R.A. Barankov, Phys. Rev. A 66, 013612 (2002)
B. Van Schaeybroeck, Phys. Rev. A 78, 023624 (2008)
B. Van Schaeybroeck, Phys. Rev. A 80, 065601 (2009)
K. Sasaki, N. Suzuki, D. Akamatsu, H. Saito, Phys. Rev. A 80, 063611 (2009)
S. Gautam, D. Angom, Phys. Rev. A 81, 053616 (2010)
A. Bezett, V. Bychkov, E. Lundh, D. Kobyakov, M. Marklund, Phys. Rev. A 82, 043608 (2010)
D. Kobyakov, V. Bychkov, E. Lundh, A. Bezett, V. Akkerman, M. Marklund, Phys. Rev. A 83, 043623 (2011)
H. Takeuchi, N. Suzuki, K. Kasamatsu, H. Saito, M. Tsubota, Phys. Rev. B 81, 094517 (2010)
N. Suzuki, H. Takeuchi, K. Kasamatsu, M. Tsubota, H. Saito, Phys. Rev. A 82, 063604 (2010)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Tsubota, M., Kasamatsu, K. (2013). Quantized Vortices and Quantum Turbulence. In: Bramati, A., Modugno, M. (eds) Physics of Quantum Fluids. Springer Series in Solid-State Sciences, vol 177. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-37569-9_13
Download citation
DOI: https://doi.org/10.1007/978-3-642-37569-9_13
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-37568-2
Online ISBN: 978-3-642-37569-9
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)