Advertisement

The European Physical Journal B

, Volume 81, Issue 2, pp 147–153 | Cite as

Resonance effects in the nonadiabatic nonlinear quantum dimer

  • M. TiwariEmail author
  • D. V. Seletskiy
  • V. M. Kenkre
Regular Article
  • 76 Downloads

Abstract

The quantum nonlinear dimer consisting of an electron shuttling between two sites and in weak interaction with vibrations, is studied numerically under the application of a DC electric field. A field-induced resonance phenomenon between the vibrations and the electronic oscillations is found to influence the electronic transport greatly. For initial delocalization of the electron, resonance has the effect of a dramatic increase in the transport. Nonlinear frequency mixing is identified as the main mechanism that influences transport. A characterization of the frequency spectrum is also presented.

Keywords

Semiclassical Approximation Electron Shuttle Resonant Enhancement Physica Status Solidus Single Phonon 
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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    W. Kuehn, P. Gaal, K. Riemann, M. Woerner, T. Elsaesser, R. Hey, Phys. Rev. Lett. 104, 146602 (2010) ADSCrossRefGoogle Scholar
  2. 2.
    I. Goychuk, P. Hänggi, Adv. Phys. 54, 525 (2006) ADSCrossRefGoogle Scholar
  3. 3.
    G. Meinert, L. Bányai, P. Gartner, Phys. Rev. B 63, 245203 (2001) ADSCrossRefGoogle Scholar
  4. 4.
    N. Janssen, W. Zwerger, Phys. Rev. B 52, 9406 (1995) ADSCrossRefGoogle Scholar
  5. 5.
    L. Bányai, Phys. Rev. Lett. 70, 1674 (1993) ADSCrossRefGoogle Scholar
  6. 6.
    C.F. Hart, D. Emin, Phys. Rev. B 37, 6100 (1988) ADSCrossRefGoogle Scholar
  7. 7.
    D. Emin, C.F. Hart, Phys. Rev. B 36, 2530 (1987) ADSCrossRefGoogle Scholar
  8. 8.
    D.H. Dunlap, V.M. Kenkre, Phys. Rev. B 34, 3625 (1986) ADSCrossRefGoogle Scholar
  9. 9.
    D.H. Dunlap, V.M. Kenkre, Phys. Rev. B 37, 6622 (1988) ADSCrossRefGoogle Scholar
  10. 10.
    D.H. Dunlap, V.M. Kenkre, Phys. Lett. A 131, 231 (1988) Google Scholar
  11. 11.
    V.M. Kenkre, S. Raghavan, J. Optics B: Quantum Semiclass. Opt. 2, 686 (2000) ADSCrossRefGoogle Scholar
  12. 12.
    V.M. Kenkre, J. Phys. Chem. B 104, 3960 (2000) CrossRefGoogle Scholar
  13. 13.
    K.W. Madison, M.C. Fischer, R.B. Diener, Qian Niu, M.G. Raizen, Phys. Rev. Lett. 81, 5093 (1998) ADSCrossRefGoogle Scholar
  14. 14.
    M. Kast, C. Pacher, G. Strasser, E. Gornik, W.S.M. Werner, Phys. Rev. Lett. 89, 136803 (2002) ADSCrossRefGoogle Scholar
  15. 15.
    R. Huber, F. Tauser, A. Brodschelm, M. Bichler, G. Abstreiter, A. Leitenstorfer, Nature 414, 286 (2001) ADSCrossRefGoogle Scholar
  16. 16.
    P. Gaal, W. Kuehn, K. Reimann, M. Woerner, T. Elsaesser, R. Hey, Nature 450, 1210 (2007) ADSCrossRefGoogle Scholar
  17. 17.
    A. Pashkin, M. Porer, M. Beyer, K.W. Kim, A. Dubroka, C. Bernhard, X. Yao, Y. Dagan, R. Hackl, A. Erb, J. Demsar, R. Huber, A. Leitenstorfer, Phys. Rev. Lett. 105, 067001 (2010) ADSCrossRefGoogle Scholar
  18. 18.
    G. Günter, A.A. Anappara, J. Hees, A. Sell, G. Biasiol, L. Sorba, S. De Liberato, C. Ciuti, A. Tredicucci, A. Leitenstorfer, R. Huber, Nature 458, 178 (2009) ADSCrossRefGoogle Scholar
  19. 19.
    H. Schanz, I. Barvk, B. Esser, Phys. Rev. B 55, 11308 (1997) ADSCrossRefGoogle Scholar
  20. 20.
    A.C. Scott, Phys. Rev. A 26, 578 (1982) MathSciNetADSCrossRefGoogle Scholar
  21. 21.
    T. Lu, D.H. Dunlap, Phys. Rev. B 67, 012301 (2003) ADSCrossRefGoogle Scholar
  22. 22.
    V.M. Kenkre, L. Giuggioli, Chem. Phys. 296, 135 (2004) (and references therein) CrossRefGoogle Scholar
  23. 23.
    V.M. Kenkre, D.K. Campbell, Phys. Rev. B 34, 4959 (1986) ADSCrossRefGoogle Scholar
  24. 24.
    V.M. Kenkre, H.L. Wu, Phys. Rev. B 39, 6907 (1989) ADSCrossRefGoogle Scholar
  25. 25.
    J.D. Andersen, V.M. Kenkre, Phys. Rev. B 47, 11134 (1993) ADSCrossRefGoogle Scholar
  26. 26.
    L. Cruzeiro-Hansson, S. Takeno, Phys. Rev. E 56, 894 (1997) ADSCrossRefGoogle Scholar
  27. 27.
    J. Eilbeck, P. Lomdahl, A. Scott, Physica D: Non-linear Phenomena 16, 318 (1985) MathSciNetADSzbMATHCrossRefGoogle Scholar
  28. 28.
    V.M. Kenkre, Kús, Phys. Rev. B 49, 5956 (1994) ADSCrossRefGoogle Scholar
  29. 29.
    V.M. Kenkre, M. Kús, Phys. Rev. B 46, 13792 (1992) ADSCrossRefGoogle Scholar
  30. 30.
    M.I. Salkola, A.R. Bishop, V.M. Kenkre, S. Raghavan, Phys. Rev. B 52, R3824 (1995) ADSCrossRefGoogle Scholar
  31. 31.
    L. Bonci, P. Grigolini, R. Roncaglia, D. Vitali, Phys. Rev. A 47, 3538 (1993) ADSCrossRefGoogle Scholar
  32. 32.
    M. Kús, V.M. Kenkre, Physica D 79, 409 (1994) ADSzbMATHGoogle Scholar
  33. 33.
    J.D. Andersen, V.M. Kenkre, Physica Status Solidi (b) 177, 397 (1993) ADSCrossRefGoogle Scholar
  34. 34.
    G.P. Tsironis, V.M. Kenkre, Phys. Lett. A 127, 209 (1988) ADSCrossRefGoogle Scholar
  35. 35.
    S. Raghavan, V.M. Kenkre, A.R. Bishop, Phys. Lett. A 233, 73 (1997) MathSciNetADSzbMATHCrossRefGoogle Scholar
  36. 36.
    V.M. Kenkre, G.P. Tsironis, Phys. Rev. B 35, 1473 (1987) ADSCrossRefGoogle Scholar

Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  1. 1.D A Institute of Information & Communication Technology (DA-IICT)GandhinagarIndia
  2. 2.Consortium of the Americas for Interdisciplinary SciencesUniversity of New MexicoAlbuquerqueUSA
  3. 3.Department of Physics & AstronomyUniversity of New MexicoAlbuquerqueUSA
  4. 4.AFRLKirtland AFBAlbuquerqueUSA

Personalised recommendations