JETP Letters

, Volume 105, Issue 3, pp 205–209 | Cite as

Magnetic-field control of subradiance states of a system of two atoms

  • A. A. MakarovEmail author
  • V. I. Yudson
Quantum Informatics


A method is proposed for the creation of an entangled metastable (subradiance) excited state in a system of two closely spaced identical atoms. The system of unexcited atoms is first placed in a magnetic field that is directed at a magic angle of \({\alpha _0} = {\text{arccos}}\left( {1/\sqrt 3 } \right) \approx 54.7^\circ \) to the line connecting the atoms and has a transverse gradient. The gradient of the field results in the detuning of frequencies of an optical transition of the atoms. Then, the resonant laser excitation of an atom with a higher transition frequency is performed with the subsequent adiabatic switching-off of the gradient of the magnetic field. It is shown that the excited atomic system in this case transits with overwhelming probability to an entangled subradiance state. Requirements on the spectroscopic parameters of the transitions and on the rate of varying the gradient of the magnetic field necessary for the implementation of this effect are analyzed.


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  1. 1.
    R. H. Dicke, Phys. Rev. 93, 99 (1954).ADSCrossRefGoogle Scholar
  2. 2.
    I. V. Bagratin, B. A. Grishanin, and V. N. Zadkov, Phys. Usp. 44, 597 (2001).ADSCrossRefGoogle Scholar
  3. 3.
    Z. Ficek and R. Tanaś, Phys. Rep. 372, 369 (2002).ADSMathSciNetCrossRefGoogle Scholar
  4. 4.
    R. H. Lehmberg, Phys. Rev. A 2, 889 (1970).ADSCrossRefGoogle Scholar
  5. 5.
    P. W. Milloni and P. L. Knight, Phys. Rev. A 10, 1096 (1974).ADSCrossRefGoogle Scholar
  6. 6.
    D.-W. Wang, Z.-H. Li, H. Zheng, and S.-Y. Zhu, Phys. Rev. A 81, 043819 (2010).ADSCrossRefGoogle Scholar
  7. 7.
    A. A. Makarov and V. S. Letokhov, J. Exp. Theor. Phys. 97, 688 (2003).ADSCrossRefGoogle Scholar
  8. 8.
    E. S. Redchenko and V. I. Yudson, Phys. Rev. A 90, 063829 (2014).ADSCrossRefGoogle Scholar
  9. 9.
    I. V. Bagratin, B. A. Grishanin, and V. N. Zadkov, Fortschr. Phys. 48, 637 (2000).CrossRefGoogle Scholar
  10. 10.
    M. O. Scully, Phys. Rev. Lett. 115, 243602 (2015).ADSCrossRefGoogle Scholar
  11. 11.
    D. Pavolini, A. Crubellier, P. Pillet, L. Cabaret, and S. Liberman, Phys. Rev. Lett. 54, 1917 (1985).ADSCrossRefGoogle Scholar
  12. 12.
    R. G. DeVoe and R. G. Brewer, Phys. Rev. Lett. 76, 2049 (1996).ADSCrossRefGoogle Scholar
  13. 13.
    W. Guerin, M. O. Araújo, and R. Kaiser, Phys. Rev. Lett. 116, 083601 (2016).ADSCrossRefGoogle Scholar
  14. 14.
    L. D. Landau and E. M. Lifshits, Course of Theoretical Physics, Vol. 3: Quantum Mechanics: Non-Relativistic Theory (Fizmatlit, Moscow, 1963, p. 119; Pergamon, Oxford, 1965, p. 91).Google Scholar
  15. 15.
    A. A. Makarov, Phys. Rev. A 92, 053840 (2015).ADSCrossRefGoogle Scholar
  16. 16.
    P. Horwitz, Appl. Phys. Lett. 26, 306 (1975).ADSCrossRefGoogle Scholar
  17. 17.
    N. D. Scielzo, J. R. Guest, E. C. Schulte, I. Ahmad, K. Bailey, D. L. Bowers, R. J. Holt, Z.-T. Lu, T. P. O’Connor, and D. H. Potterveld, Phys. Rev. A 73, 010501 (2006).ADSCrossRefGoogle Scholar
  18. 18.
    H. J. Mamin, M. Poggio, C. L. Degen, and D. Rugar, Nat. Nanotechnol. 2, 301 (2007).ADSCrossRefGoogle Scholar
  19. 19.
    S. Nascimbene, N. Goldman, N. R. Cooper, and J. Dalibard, Phys. Rev. Lett. 115, 140401 (2015).ADSCrossRefGoogle Scholar
  20. 20.
    B. Dubetsky and P. R. Berman, Phys. Rev. A 66, 045402 (2002).ADSCrossRefGoogle Scholar
  21. 21.
    D. N. Yanyshev, V. I. Balykin, Y. V. Vladimirova, and V. N. Zadkov, Phys. Rev. A 87, 033411 (2013).ADSCrossRefGoogle Scholar

Copyright information

© Pleiades Publishing, Inc. 2017

Authors and Affiliations

  1. 1.Institute of SpectroscopyRussian Academy of SciencesTroitsk, MoscowRussia
  2. 2.Moscow Institute of Physics and Technology (State University)DolgoprudnyiRussia
  3. 3.National Research University Higher School of EconomicsMoscowRussia
  4. 4.Russian Quantum CenterSkolkovoRussia

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