Rotation, Inducing Gauge Fields, and Exotic States of Matter in Cold Atoms

Part of the Springer Theses book series (Springer Theses)


Rotating quantum systems leads to dramatic and exotic phenomena. The first rotational phenomena to be experimentally explored in cold atoms was vortices and vortex lattices in a rotating superfluid. Because a superfluid is irrotational, all rotation is contained in topological defects with circulation quantized in units of \(\hbar\). This is a phenomena that occurs in superfluid \(^{4} {\hbox{He}}\) and \(^{3} {\hbox{He}}\), as well as in type-2 superconductors (superconductors only show vortices in a certain limit, corresponding to type-2 superconductors, because the electromagnetic field energy has to be considered in addition to the electron fluid). Images of vortices in cold gas experiments directly showed this spectacular manifestations of superfluidity.


Gauge Field Landau Level Cold Atom Vortex Lattice Quantum Hall Effect 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


  1. 1.
    J.R. Schrieffer, Theory of Superconductivity, Revised edn. (Perseus Books, New York, 1999)Google Scholar
  2. 2.
    P.G.D. Gennes, Superconductivity of Metals and Alloys. (Westview Press, USA, 1999)Google Scholar
  3. 3.
    M. Tinkham, Introduction to Superconductivity, 2 edn. (Dover Publications, New York, 2004) (Dover Books on Physics)Google Scholar
  4. 4.
    I. Bloch, J. Dalibard, W. Zwerger, Rev. Mod. Phys. 80, 885 (2008)CrossRefADSGoogle Scholar
  5. 5.
    N.R. Cooper, Adv. Phys. 57, 539 (2008)CrossRefADSGoogle Scholar
  6. 6.
    S. Viefers, J. Phys. Condens. Matter 20, 123202, pp.14 (2008)Google Scholar
  7. 7.
    E.J. Mueller, Phys. Rev. A 70, 041603 (2004)CrossRefADSGoogle Scholar
  8. 8.
    A.S. Sørensen, E. Demler, M.D. Lukin, Phys. Rev. Lett. 94, 086803 (2005)CrossRefADSGoogle Scholar
  9. 9.
    M. Hafezi, A.S. Sørensen, E. Demler, M.D. Lukin, Phys. Rev. A 76, 023613 (2007)CrossRefADSGoogle Scholar
  10. 10.
    Y. Lin, R.L. Compton, K. Jimenez-Garcia, J.V. Porto, I.B. Spielman, Nat. Biotechnol. 462, 628 (2009)Google Scholar
  11. 11.
    K. Osterloh, M. Baig, L. Santos, P. Zoller, M. Lewenstein, Phys. Rev. Lett. 95, 010403 (2005)CrossRefADSGoogle Scholar
  12. 12.
    H.P. Büchler, M. Hermele, S.D. Huber, M.P.A. Fisher, P. Zoller, Phys. Rev. Lett. 95, 040402 (2005)CrossRefGoogle Scholar
  13. 13.
    D.R. Hofstadter, Phys. Rev. B 14, 2239–2249 (1976)CrossRefADSGoogle Scholar
  14. 14.
    D.J. Thouless, M. Kohmoto, M.P. Nightingale, M. den Nijs, Phys. Rev. Lett. 49, 405–408 (1982)CrossRefADSGoogle Scholar
  15. 15.
    K.W. Madison, F. Chevy, W. Wohlleben, J. Dalibard, Phys. Rev. Lett. 84, 806–809 (2000)CrossRefADSGoogle Scholar
  16. 16.
    N.R. Cooper, N.K. Wilkin, J.M.F. Gunn, Phys. Rev. Lett. 87, 120405 (2001)CrossRefADSGoogle Scholar
  17. 17.
    P. Engels, I. Coddington, P.C. Haljan, E.A. Cornell, Phys. Rev. Lett. 89, 100403 (2002)CrossRefADSGoogle Scholar
  18. 18.
    J.R. Abo-Shaeer, C. Raman, J.M. Vogels, W. Ketterle, Sci. Agric. 292, 476–479 (2001)Google Scholar
  19. 19.
    V. Schweikhard, I. Coddington, P. Engels, V.P. Mogendorff, E.A. Cornell, Phys. Rev. Lett. 92, 040404 (2004)CrossRefADSGoogle Scholar
  20. 20.
    N.K. Wilkin, J.M.F. Gunn, Phys. Rev. Lett. 84, 6–9 (2000)CrossRefADSGoogle Scholar
  21. 21.
    S. Viefers, T.H. Hansson, S.M. Reimann, Phys. Rev. A 62, 053604 (2000)CrossRefADSGoogle Scholar
  22. 22.
    J. Sinova, C.B. Hanna, A.H. MacDonald, Phys. Rev. Lett. 89, 030403 (2002)CrossRefADSGoogle Scholar
  23. 23.
    J.W. Reijnders, van F.J.M. Lankvelt, K. Schoutens, N. Read, Phys. Rev. Lett. 89, 120401 (2002)CrossRefADSGoogle Scholar
  24. 24.
    B. Paredes, P. Zoller, J.I. Cirac, Phys. Rev. A 66, 033609 (2002)CrossRefADSGoogle Scholar
  25. 25.
    N. Regnault, T. Jolicoeur, Phys. Rev. Lett. 91, 030402 (2003)CrossRefADSGoogle Scholar
  26. 26.
    U.R. Fischer, P.O. Fedichev, A. Recati, J. Phys B: At., Mol. Opt. Phys. 37, S301 (2004)CrossRefADSGoogle Scholar
  27. 27.
    T. Ho, E.J. Mueller, Phys. Rev. Lett. 89, 050401 (2002)CrossRefADSGoogle Scholar
  28. 28.
    N. Read, N.R. Cooper, Phys. Rev. A 68, 035601 (2003)CrossRefADSGoogle Scholar
  29. 29.
    M. Popp, B. Paredes, J.I. Cirac, Phys. Rev. A 70, 053612 (2004)CrossRefADSGoogle Scholar
  30. 30.
    S.K. Baur, K.R.A. Hazzard, E.J. Mueller, Phys. Rev. A 78, 061608 (2008)CrossRefADSGoogle Scholar
  31. 31.
    Y. Lee, Y. Lee, Phys. Rev. B 70, 224506 (2004)CrossRefADSGoogle Scholar
  32. 32.
    L. Radzihovsky, J. Park, P.B. Weichman, Phys. Rev. Lett. 92, 160402 (2004)CrossRefADSGoogle Scholar
  33. 33.
    M.W.J. Romans, R.A. Duine, S. Sachdev, H.T.C. Stoof, Phys. Rev. Lett. 93, 020405 (2004)CrossRefADSGoogle Scholar
  34. 34.
    M. Greiner, O. Mandel, T. Esslinger, T.W. Hänsch, I. Bloch, Nat. Biotechnol. 415, 39 (2002)Google Scholar
  35. 35.
    D. Jaksch, C. Bruder, J.I. Cirac, C.W. Gardiner, P. Zoller, Phys. Rev. Lett. 81, 3108 (1998)CrossRefADSGoogle Scholar
  36. 36.
    I.M. Khalatnikov, An Introduction to the Theory of Superfluidity. (Westview Press, USA, 2000)Google Scholar
  37. 37.
    X. Wen, Quantum Field Theory of Many-body Systems: From the Origin of Sound to an Origin of Light and Electrons, reissue ed. (Oxford University Press, New York, USA, 2007)CrossRefGoogle Scholar
  38. 38.
    D.S. Goldbaum, E.J. Mueller, Phys. Rev. A 79, P021602 (2009)ADSGoogle Scholar
  39. 39.
    D.S. Goldbaum, E.J. Mueller, Phys. Rev. A 79, 063625 (2009)CrossRefADSGoogle Scholar
  40. 40.
    R.B. Laughlin, Phys. Rev. Lett. 50, 1395 (1983)CrossRefADSGoogle Scholar
  41. 41.
    L.D. Landau, L.M. Lifshitz, Quantum Mechanics Non-Relativistic Theory, 3rd edn, vol. 3. (Butterworth-Heinemann, London, 1981)Google Scholar
  42. 42.
    R.A. Williams, J.D. Pillet, S. Al-Assam, B. Fletcher, M. Shotter, C.J. Foot, Opt. Express 16, 16977 (2008)CrossRefADSGoogle Scholar
  43. 43.
    N.K. Wilkin, J.M.F. Gunn, R.A. Smith, Phys. Rev. Lett. 80, 2265 (1998)CrossRefADSGoogle Scholar
  44. 44.
    N.R. Cooper, N.K. Wilkin, Phys. Rev. B 60, R16279 (1999)CrossRefADSGoogle Scholar
  45. 45.
    B. Paredes, P. Fedichev, J.I. Cirac, P. Zoller, Phys. Rev. Lett. 87, 010402 (2001)CrossRefADSGoogle Scholar
  46. 46.
    N. Goldman, I. Satija, P. Nikolic, A. Bermudez, M.A. Martin-Delgado, M. Lewenstein, I.B. Spielman, Phys. Rev. Lett. 105, 255302 (2010)CrossRefADSGoogle Scholar
  47. 47.
    M.Z. Hasan, C.L. Kane, Rev. Mod. Phys. 82, 3045 (2010)CrossRefADSGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC  2011

Authors and Affiliations

  1. 1.JILA University of ColoradoBoulderUSA

Personalised recommendations