Symmetric excitation and de-excitation of a cavity QED system

  • Olafur Jonasson
  • Vidar Gudmundsson
  • Andrei Manolescu
  • Chi-Shung Tang
  • Hsi-Sheng Goan
Regular Article


We calculate the time evolution of a cavity-QED system subject to a time dependent sinusoidal drive. The drive is modulated by an envelope function with the shape of a pulse. The system consists of electrons embedded in a semiconductor nanostructure which is coupled to a single mode quantized electromagnetic field. The electron-electron as well as photon-electron interaction is treated exactly using “exact numerical diagonalization” and the time evolution is calculated by numerically solving the equation of motion for the system’s density matrix. We find that the drive causes symmetric excitation and de-excitation where the system climbs up the Jaynes-Cummings ladder and descends back down symmetrically into its original state. This effect is known at low electron-photon coupling strengths but our main finding is how robust the effect is even at ultra-strong coupling strength where the JC-model does not give qualitatively correct results. We investigate the robustness of this symmetric behavior with respect to the drive de-tuning and pulse duration.


Mesoscopic and Nanoscale Systems 


  1. 1.
    E. Jaynes, F. Cummings, Proc. IEEE 51, 89 (1963) CrossRefGoogle Scholar
  2. 2.
    A. Wallraff, D.I. Schuster, L.F.A. Blais, R.-S. Huang, J. Majer, S. Kumar, S.M. Girvin, R.J. Schoelkopf, Nature 431, 162 (2004) CrossRefADSGoogle Scholar
  3. 3.
    J.M. Fink, M. Göppl, M. Baur, R. Bianchetti, P.J. Leek, A. Blais, A. Wallraff, Nature 454, 315 (2008) CrossRefADSGoogle Scholar
  4. 4.
    J. Kasprzak, S. Reitzenstein, E.A. Muljarov, C. Kistner, C. Schneider, M. Strauss, S. Höfling, A. Forchel, W. Langbein, Nat. Mater. 9, 304 (2010) CrossRefADSGoogle Scholar
  5. 5.
    P. Alsing, D.-S. Guo, H.J. Carmichael, Phys. Rev. A 45, 5135 (1992) CrossRefADSGoogle Scholar
  6. 6.
    L.S. Bishop, J.M. Chow, J. Koch, A.A. Houck, M.H. Devoret, E. Thuneberg, S.M. Girvin, R.J. Schoe, Nat. Phys. 5, 105 (2008) CrossRefGoogle Scholar
  7. 7.
    S. De Liberato, D. Gerace, I. Carusotto, C. Ciuti, Phys. Rev. A 80, 053810 (2009) CrossRefADSGoogle Scholar
  8. 8.
    S. Schmidt, D. Gerace, A.A. Houck, G. Blatter, H.E. Türeci, Phys. Rev. B 82, 100507 (2010) CrossRefADSGoogle Scholar
  9. 9.
    T. Niemczyk, F. Deppe, H. Huebl, E.P. Menzel, F. Hocke, M.J. Schwarz, J.J. Garcia-Ripoll, D. Zueco, T. Hümmer, E. Solano, A. Max, R. Gross, Nat. Phys. 6, 772 (2010) CrossRefGoogle Scholar
  10. 10.
    G. Günter, A.A. Anappara, J. Hees, A. Sell, G. Biasiol, L. Sorba, S.D. Liberato, C. Ciuti, A. Tredicucci, A. Leitenstorfer, R. Huber, Nature 458, 178 (2009) CrossRefADSGoogle Scholar
  11. 11.
    A.A. Anappara, S. De Liberato, A. Tredicucci, C. Ciuti, G. Biasiol, L. Sorba, F. Beltram, Phys. Rev. B 79, 201303 (2009) CrossRefADSGoogle Scholar
  12. 12.
    O. Jonasson, C.-S. Tang, H.-S. Goan, A. Manolescu, V. Gudmundsson, New J. Phys. 14, 013036 (2012) CrossRefADSGoogle Scholar
  13. 13.
    O. Jonasson, C.-S. Tang, H.-S. Goan, A. Manolescu, V. Gudmundsson, Phys. Rev. E 86, 046701 (2012) CrossRefADSGoogle Scholar
  14. 14.
    V. Gudmundsson, O. Jonasson, C.-S. Tang, H.-S. Goan, A. Manolescu, Phys. Rev. B 85, 075306 (2012) CrossRefADSGoogle Scholar
  15. 15.
    V. Gudmundsson, O. Jonasson, T. Arnold, C.-S. Tang, H.-S. Goan, A. Manolescu, Fortschritte der Physik 61, 305 (2013) MathSciNetCrossRefADSGoogle Scholar
  16. 16.
    O. Jonasson, Nonperturbative approach to circuit quantum electromagnetics, Master’s Thesis, University of Iceland, 2012 Google Scholar

Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Olafur Jonasson
    • 1
  • Vidar Gudmundsson
    • 1
  • Andrei Manolescu
    • 2
  • Chi-Shung Tang
    • 3
  • Hsi-Sheng Goan
    • 4
    • 5
  1. 1.Science Institute, University of IcelandReykjavikIceland
  2. 2.Reykjavik University, School of Science and EngineeringReykjavikIceland
  3. 3.Department of Mechanical Engineering, National United UniversityMiaoliTaiwan
  4. 4.Department of Physics and Center for Theoretical SciencesNational Taiwan UniversityTaipeiTaiwan
  5. 5.Center for Quantum Science and Engineering, National Taiwan UniversityTaipeiTaiwan

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