Journal of Low Temperature Physics

, Volume 180, Issue 1–2, pp 133–143 | Cite as

Vortex Reconnections in Anisotropic Trapped Three-Dimensional Bose–Einstein Condensates

  • T. Wells
  • A. U. J. Lode
  • V. S. Bagnato
  • M. C. Tsatsos
Article

Abstract

Quantum vortex reconnections can be considered as a fundamental unit of interaction in complex turbulent quantum gases. Understanding the dynamics of single vortex reconnections as elementary events is an essential precursor to the explanation of the emergent properties of turbulent quantum gases. It is thought that a lone pair of quantum vortex lines will inevitably interact given a sufficiently long time. This paper investigates aspects of reconnections of quantum vortex pairs imprinted in a Bose–Einstein condensate with 101 bosons held in an anisotropic three-dimensional trap using an exact many-body treatment. In particular, the impact of the interaction strength and the trap anisotropy in the reconnection time is studied. It is found that interaction strength has no effect on reconnection time over short time scales and that the trap anisotropy can cause the edge of the condensate to interfere with the reconnection process. It is also found that the initially coherent system fragments very slowly, even for a relatively large interaction strength, and therefore the system tends to stay condensed during the reconnections.

Keywords

Ultracold bosons Many-body MCTDHB http://ultracold.org Quantum fluids Quantized vortices 

References

  1. 1.
    M.H. Anderson, J.R. Ensher, M.R. Matthews, C.E. Wieman, E.A. Cornell, Science 269, 198 (1995)CrossRefADSGoogle Scholar
  2. 2.
    C.C. Bradley, C.A. Sackett, J.J. Tollett, R.G. Hulet, Phys. Rev. Lett. 75, 1687 (1995)CrossRefADSGoogle Scholar
  3. 3.
    K.B. Davis, M.-O. Mewes, M.R. Andrews, N.J. van Druten, D.S. Durfee, D.M. Kurn, W. Ketterle, Phys. Rev. Lett. 75, 3969 (1995)CrossRefADSGoogle Scholar
  4. 4.
    R.P. Feynman, Prog. Low Temp. Phys. 1, 17 (1955)Google Scholar
  5. 5.
    W.F. Vinen, J.J. Niemela, J. Low Temp. Phys. 128, 167 (2002)CrossRefADSGoogle Scholar
  6. 6.
    S.K. Nemirovskii, Phys. Rep. 524, 85 (2013)CrossRefADSMathSciNetGoogle Scholar
  7. 7.
    E.A.L. Henn, J.A. Seman, G. Roati, K.M.F. Magalhães, V.S. Bagnato, Phys. Rev. Lett. 103, 045301 (2009)CrossRefADSGoogle Scholar
  8. 8.
    E.A.L. Henn, J.A. Seman, G. Roati, K.M.F. Magalhães, V.S. Bagnato, J. Low Temp. Phys. 158, 435 (2009)CrossRefADSGoogle Scholar
  9. 9.
    A.C. White, B.P. Anderson, V.S. Bagnato, Proc. Natl. Acad. Sci. USA 111, 4719 (2014)CrossRefADSGoogle Scholar
  10. 10.
    M.R. Matthews, B.P. Anderson, P.C. Haljan, D.S. Hall, C.E. Wieman, E.A. Cornell, Phys. Rev. Lett. 83, 2498 (1999)CrossRefADSGoogle Scholar
  11. 11.
    K.W. Madison, F. Chevy, W. Wohlleben, J. Dalibard, Phys. Rev. Lett. 84, 806 (2000)CrossRefADSGoogle Scholar
  12. 12.
    K.W. Madison, F. Chevy, W. Wohlleben, J. Dalibard, J. Mod. Opt. 47, 2715 (2000)CrossRefADSGoogle Scholar
  13. 13.
    E.P. Gross, Il Nuovo Cimento 20, 454 (1961)CrossRefMATHGoogle Scholar
  14. 14.
    L.P. Pitaevskii, Soviet Phys.-JETP (USSR) 13, 451 (1961)MathSciNetGoogle Scholar
  15. 15.
    A.L. Fetter, Rev. Mod. Phys. 81, 647 (2009)CrossRefADSGoogle Scholar
  16. 16.
    A.L. Fetter, J. Low Temp. Phys. 161, 445 (2010)CrossRefADSGoogle Scholar
  17. 17.
    W.T. Ashurst, D.I. Meiron, Phys. Rev. Lett. 58, 1632 (1987)CrossRefADSGoogle Scholar
  18. 18.
    J. Koplik, H. Levine, Phys. Rev. Lett. 71, 1375 (1993)CrossRefADSGoogle Scholar
  19. 19.
    A.T.A.M. de Waele, R.G.K.M. Aarts, Phys. Rev. Lett. 72, 482 (1994)CrossRefADSGoogle Scholar
  20. 20.
    R. Tebbs, A.J. Youd, C.F. Barenghi, J. Low Temp. Phys. 162, 314 (2010)CrossRefADSGoogle Scholar
  21. 21.
    A.J. Allen, S. Zuccher, M. Caliari, N.P. Proukakis, N.G. Parker, C.F. Barenghi, Phys. Rev. A 90, 013601 (2014)CrossRefADSGoogle Scholar
  22. 22.
    S. Zuccher, M. Caliari, A.W. Baggaley, C.F. Barenghi, Phys. Fluids 24, 125108 (2012)CrossRefADSGoogle Scholar
  23. 23.
    S.K. Nemirovskii, J. Low Temp. Phys. 171, 504 (2013)CrossRefADSGoogle Scholar
  24. 24.
    S.K. Nemirovskii, Phys. Rev. B 90, 104506 (2014)CrossRefADSGoogle Scholar
  25. 25.
    M.C. Tsatsos, A.I. Streltsov, O.E. Alon, L.S. Cederbaum, Phys. Rev. A 82, 033613 (2010)CrossRefADSGoogle Scholar
  26. 26.
    R. Zamora-Zamora, M. Lozada-Hidalgo, S.F. Caballero-Benítez, V. Romero-Rochín, Phys. Rev. A 86, 053624 (2012)CrossRefADSGoogle Scholar
  27. 27.
    A.I. Streltsov, O.E. Alon, L.S. Cederbaum, Phys. Rev. Lett. 99, 030402 (2007)CrossRefADSGoogle Scholar
  28. 28.
    O.E. Alon, A.I. Streltsov, L.S. Cederbaum, J. Chem. Phys. 127, 154103 (2007)CrossRefADSGoogle Scholar
  29. 29.
    O.E. Alon, A.I. Streltsov, L.S. Cederbaum, Phys. Rev. A 77, 033613 (2008)CrossRefADSGoogle Scholar
  30. 30.
    A.U.J. Lode and M.C. Tsatsos, The Recursive Multiconfigurational Time-Dependent Hartree for Bosons Package, version 1.0, (2014), http://ultracold.org
  31. 31.
    J.R. de Laeter, J.K. Böhlke, P. de Biévre, H. Hidaka, H.S. Peiser, K.J.R. Rosman, P.D.P. Taylor, Pure Appl. Chem. 75, 683 (2003)CrossRefGoogle Scholar
  32. 32.
    O. Penrose, L. Onsager, Phys. Rev. 104, 576 (1956)CrossRefADSMATHGoogle Scholar
  33. 33.
    P. Noziéres, D. Saint, J. Phys. (Paris) 43, 1133 (1982)CrossRefGoogle Scholar
  34. 34.
    V.I. Yukalov, A.N. Novikov, V.S. Bagnato, Laser Phys. Lett. 11, 095501 (2014)CrossRefADSGoogle Scholar
  35. 35.
    S. Nazarenko, R. West, J. Low Temp. Phys. 132, 1 (2003)CrossRefADSGoogle Scholar
  36. 36.
    Videos of the reconnections for: \(\varepsilon =1\) http://youtu.be/VLMY1eYLr0g, \(\varepsilon =2\) http://youtu.be/r5pY7pfMTUg, \(\varepsilon =3\) http://youtu.be/ifEFffVv93U

Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  • T. Wells
    • 1
    • 2
  • A. U. J. Lode
    • 3
  • V. S. Bagnato
    • 2
  • M. C. Tsatsos
    • 2
  1. 1.Department of Applied Mathematics and Theoretical PhysicsUniversity of CambridgeCambridgeUK
  2. 2.Instituto de Física de São CarlosUniversidade de São PauloSão CarlosBrazil
  3. 3.Department of PhysicsUniversity of BaselBaselSwitzerland

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