Deterministic quantum state transfer of atoms in a random magnetic field

  • Bianca J. SawyerEmail author
  • Matthew Chilcott
  • Ryan Thomas
  • Amita B. Deb
  • Niels KjærgaardEmail author
Regular Article Cold Matter and Quantum Gas


We propose a method for transferring atoms to a target quantum state for a multilevel quantum system with sequentially increasing, but otherwise unknown, energy splitting. This is achieved with a feedback algorithm that processes off-resonant optical measurements of state populations during adiabatic rapid passage in real time. As a demonstration, we reliably perform the state transfer |F = 2,mF = 2〉 → |1,1〉 → |2,1〉 for a sample of ultracold 87Rb in the presence of a random external magnetic field.

Graphical abstract


  1. 1.
    P. Abragam, A. Abragam, The Principles of Nuclear Magnetism (Clarendon Press, 1961)Google Scholar
  2. 2.
    L. Allen, J.H. Eberly, Optical Resonance and Two-Level Atoms (Dover Publications, 1987)Google Scholar
  3. 3.
    J.C. Camparo, R.P. Frueholz, J. Phys. B 17, 4169 (1984)ADSCrossRefGoogle Scholar
  4. 4.
    K. Kotru, J.M. Brown, D.L. Butts, J.M. Kinast, R.E. Stoner, Phys. Rev. A 90, 053611 (2014)ADSCrossRefGoogle Scholar
  5. 5.
    V. Malinovsky, J. Krause, Eur. Phys. J. D 14, 147 (2001)ADSCrossRefGoogle Scholar
  6. 6.
    G.C. Bjorklund, Opt. Lett. 5, 15 (1980)ADSCrossRefGoogle Scholar
  7. 7.
    J.E. Lye, B.D. Cuthbertson, H.A. Bachor, J.D. Close, J. Opt. B 1, 402 (1999)ADSCrossRefGoogle Scholar
  8. 8.
    B.J. Sawyer, A.B. Deb, T. McKellar, N. Kjærgaard, Phys. Rev. A 86, 065401 (2012)ADSCrossRefGoogle Scholar
  9. 9.
    M. Kohnen, P.G. Petrov, R.A. Nyman, E.A. Hinds, New J. Phys. 13, 085006 (2011)ADSCrossRefGoogle Scholar
  10. 10.
    M.G. Bason, R. Heck, M. Napolitano, O. Elasson, R. Müller, A. Thorsen, W.Z. Zhang, J.J. Arlt, J.F. Sherson, J. Phys. B: At., Mol. Opt. Phys. 51, 175301 (2018)ADSCrossRefGoogle Scholar
  11. 11.
    G.A. Smith, S. Chaudhury, A. Silberfarb, I.H. Deutsch, P.S. Jessen, Phys. Rev. Lett. 93, 163602 (2004)ADSCrossRefGoogle Scholar
  12. 12.
    T. Isayama, Y. Takahashi, N. Tanaka, K. Toyoda, K. Ishikawa, T. Yabuzaki, Phys. Rev. A 59, 4836 (1999)ADSCrossRefGoogle Scholar
  13. 13.
    A. Deb, B.J. Sawyer, N. Kjærgaard, Phys. Rev. A 88, 063607 (2013)ADSCrossRefGoogle Scholar
  14. 14.
    M. Gajdacz, A.J. Hilliard, M.A. Kristensen, P.L. Pedersen, C. Klempt, J.J. Arlt, J.F. Sherson, Phys. Rev. Lett. 117, 073604 (2016)ADSCrossRefGoogle Scholar
  15. 15.
    Z. Zhiqiang, C.H. Lee, R. Kumar, K.J. Arnold, S.J. Masson, A.S. Parkins, M.D. Barrett, Optica 4, 424 (2017)ADSCrossRefGoogle Scholar
  16. 16.
    T. Vanderbruggen, R. Kohlhaas, A. Bertoldi, S. Bernon, A. Aspect, A. Landragin, P. Bouyer, Phys. Rev. Lett. 110, 210503 (2013)ADSCrossRefGoogle Scholar
  17. 17.
    T. Vanderbruggen, R. Kohlhaas, A. Bertoldi, E. Cantin, A. Landragin, P. Bouyer, Phys. Rev. A 89, 063619 (2014)ADSCrossRefGoogle Scholar
  18. 18.
    G.G. Gillett, R.B. Dalton, B.P. Lanyon, M.P. Almeida, M. Barbieri, G.J. Pryde, J.L. O’Brien, K.J. Resch, S.D. Bartlett, A.G. White, Phys. Rev. Lett. 104, 080503 (2010)ADSCrossRefGoogle Scholar
  19. 19.
    D. Dong, I. Petersen, IET Control Theory Appl. 4, 2651 (2010)MathSciNetCrossRefGoogle Scholar
  20. 20.
    A. Serafini, ISRN Opt. 2012, 1 (2012)CrossRefGoogle Scholar
  21. 21.
    D.A. Steck, K. Jacobs, H. Mabuchi, T. Bhattacharya, S. Habib, Phys. Rev. Lett. 92, 223004 (2004)ADSCrossRefGoogle Scholar
  22. 22.
    H. Mabuchi, Phys. Rev. A 78, 032323 (2008)ADSCrossRefGoogle Scholar
  23. 23.
    S.D. Wilson, A.R.R. Carvalho, J.J. Hope, M.R. James, Phys. Rev. A 76, 013610 (2007)ADSCrossRefGoogle Scholar
  24. 24.
    S.S. Szigeti, M.R. Hush, A.R.R. Carvalho, J.J. Hope, Phys. Rev. A 82, 043632 (2010)ADSCrossRefGoogle Scholar
  25. 25.
    S. Wang, T. Byrnes, Phys. Rev. A 94, 033620 (2016)ADSCrossRefGoogle Scholar
  26. 26.
    A. Hentschel, B.C. Sanders, Phys. Rev. Lett. 104, 063603 (2010)ADSCrossRefGoogle Scholar
  27. 27.
    K.O. Roberts, T. McKellar, J. Fekete, A. Rakonjac, A.B. Deb, N. Kjærgaard, Opt. Lett. 39, 2012 (2014)ADSCrossRefGoogle Scholar
  28. 28.
    B.J. Sawyer, M.S.J. Horvath, E. Tiesinga, A.B. Deb, N. Kjærgaard, Phys. Rev. A 96, 022705 (2017)ADSCrossRefGoogle Scholar
  29. 29.
    S. Bize, Y. Sortais, M.S. Santos, C. Mandache, A. Clairon, C. Salomon, Europhys. Lett. (EPL) 45, 558 (1999)ADSCrossRefGoogle Scholar
  30. 30.
    B.J. Sawyer, Dispersive probing of quantum state preparation in ultracold 87Rb, Master’s thesis, University of Otago, 2013Google Scholar
  31. 31.
    G. Tino, Nucl. Phys. B Proc. Suppl. 113, 289 (2002)ADSCrossRefGoogle Scholar
  32. 32.
    F. Theron, O. Carraz, G. Renon, N. Zahzam, Y. Bidel, M. Cadoret, A. Bresson, Appl. Phys. B 118, 1 (2014)ADSCrossRefGoogle Scholar
  33. 33.
    P.B. Wigley, P.J. Everitt, A. van den Hengel, J.W. Bastian, M.A. Sooriyabandara, G.D. McDonald, K.S. Hardman, C.D. Quinlivan, P. Manju, C.C.N. Kuhn, I.R. Petersen, A.N. Luiten, J.J. Hope, N.P. Robins, M.R. Hush, Sci. Rep. 6, (2016).Google Scholar
  34. 34.
    C.S. Chisholm, R. Thomas, A.B. Deb, N. Kjærgaard, Rev. Sci. Instrum. 89, 103105 (2018)ADSCrossRefGoogle Scholar

Copyright information

© EDP Sciences / Società Italiana di Fisica / Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of Physics and QSO – Centre for Quantum ScienceUniversity of OtagoDunedinNew Zealand
  2. 2.The Dodd Walls Centre for Photonic and Quantum TechnologiesDunedinNew Zealand

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