Kinetics of pulse-induced magnon Bose-Einstein condensate

  • Sergey N. Andrianov
  • Vladimir V. Bochkarev
  • Sergey MoiseevEmail author
Regular Article


We have analysed the kinetics of Bose-Einstein condensed (BEC) magnons after pulsed excitation in a ferromagnet at room and low temperatures. For this purpose, we have derived the kinetic equations using the nonequilibrium statistical operator method to describe the general form of the interactions in the magnon system. On the basis of this approach, we have analysed the nonlinear properties of the magnon BEC kinetics caused by interactions with magnon reservoir modes and phonons. We have found that formation of a quasi-stationary BEC magnon state is possible not only at room temperature but also at low temperatures, where the magnon-phonon interaction leads to formation of a residual BEC state with magnon population much larger than at room temperature. It was also observed that a moderately strong four-particle part of the magnon-magnon interaction violating the number of magnons is sufficient to facilitate magnon BEC formation. The predicted long-lived magnon BEC state could be promising for realisation of macroscopic qubits.


Statistical and Nonlinear Physics 


  1. 1.
    M.H. Anderson, J.R. Ensher, M.R. Matthews, C.E. Wieman, E.A. Cornell, Science 269, 198 (1995)ADSCrossRefGoogle Scholar
  2. 2.
    K. Davis, M.O. Mewes, M.V. Andrews, N. Van Druten, D. Durfee, D. Kurn, W. Ketterle, Phys. Rev. Lett. 75, 3969 (1995)ADSCrossRefGoogle Scholar
  3. 3.
    S.N. Bose, Z. Phys. 26, 178 (1924)ADSCrossRefzbMATHGoogle Scholar
  4. 4.
    A. Einstein, Sitz. Ber. Preuss. Akad. Wiss. (Berlin) 22, 261 (1924)Google Scholar
  5. 5.
    K. Yoshioka, E. Chae, M. Kuwata-Gonokami, Nat. Commun. 2, 328 (2011)ADSCrossRefGoogle Scholar
  6. 6.
    A. High, J. Leonard, M. Remeika, L. Butov, M. Hanson, A. Gossard, Nano Lett. 12, 2605 (2012)ADSCrossRefGoogle Scholar
  7. 7.
    D. Snoke, G. Kavoulakis, arXiv:1212.4705 (2012)Google Scholar
  8. 8.
    J. Kasprzak et al., Nature 443, 409 (2006)ADSCrossRefGoogle Scholar
  9. 9.
    P. Littlewood, Science 316, 989 (2007)CrossRefGoogle Scholar
  10. 10.
    R. Balili, V. Hartwell, D. Snoke, L. Pfeiffer, K. West, Science 316, 1007 (2007)ADSCrossRefGoogle Scholar
  11. 11.
    A. Das, P. Bhattacharya, J. Heo, A. Banerjee, W. Guo, Proc. Natl. Acad. Sci. USA 110, 2735 (2012)ADSCrossRefGoogle Scholar
  12. 12.
    H. Deng, H. Haug, Y. Yamamoto, Rev. Mod. Phys. 82, 1489 (2010)ADSCrossRefGoogle Scholar
  13. 13.
    A. Imamoglu et al., Phys. Rev. A 53, 4250 (1996)ADSCrossRefGoogle Scholar
  14. 14.
    Y.M. Bunkov, G.E. Volovik, Int. Ser. Monogr. Phys. 1, 253 (2013)Google Scholar
  15. 15.
    F. Yamada, T. Ono, H. Tanaka, G. Misguich, M. Oshikawa, T. Sakakibara, J. Phys. Soc. Jpn 77, 013701 (2008)ADSCrossRefGoogle Scholar
  16. 16.
    S. Demokritov, V. Demidov, O. Dzyapko, G. Melkov, A. Serga, B. Hillebrands, A. Slavin, Nature 443, 430 (2006)ADSCrossRefGoogle Scholar
  17. 17.
    I. Tupitsyn, P. Stamp, A. Burin, Phys. Rev. Lett. 100, 257202 (2008)ADSCrossRefGoogle Scholar
  18. 18.
    J. Hick, F. Sauli, A. Kreisel, P. Kopietz, Eur. Phys. J. B 78, 429 (2010)ADSCrossRefGoogle Scholar
  19. 19.
    F.S. Vannucchi, Á.R. Vasconcellos, R. Luzzi, Phys. Rev. B 82, 140404 (2010)ADSCrossRefGoogle Scholar
  20. 20.
    F. Vannucchi, A. Vasconcellos, R. Luzzi, Eur. Phys. J. B 86, 1 (2013)CrossRefMathSciNetGoogle Scholar
  21. 21.
    J. Hick, T. Kloss, P. Kopietz, Phys. Rev. B 86, 184417 (2012)ADSCrossRefGoogle Scholar
  22. 22.
    V. Kocharovsky, M.O. Scully, S.Y. Zhu, M.S. Zubairy, Phys. Rev. A 61, 023609 (2000)ADSCrossRefGoogle Scholar
  23. 23.
    A. Kuzemsky, Int. J. Mod. Phys. B 19, 1029 (2005)ADSCrossRefzbMATHMathSciNetGoogle Scholar
  24. 24.
    A. Akhiezer, S. Peletminsky, Methods of Statistical Physics, International Series in Natural Philosophy (Pergamon Press, 1981)Google Scholar
  25. 25.
    L. Lutsev, Phys. Rev. B 85, 214413 (2012)ADSCrossRefGoogle Scholar
  26. 26.
    F. Li, W.M. Saslow, V.L. Pokrovsky, Sci. Rep. 3, 1372 (2013)ADSGoogle Scholar

Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  • Sergey N. Andrianov
    • 1
    • 2
    • 3
  • Vladimir V. Bochkarev
    • 3
  • Sergey Moiseev
    • 1
    • 2
    • 3
    Email author
  1. 1.Institute for Informatics of Tatarstan Academy of SciencesKazanRussia
  2. 2.Quantum CenterKazan National Research Technical UniversityKazanRussia
  3. 3.Kazan (Volga Region) Federal UniversityKazanRussia

Personalised recommendations