Indian Journal of Physics

, Volume 91, Issue 12, pp 1525–1531 | Cite as

Quantum transition and decoherence of levitating polaron on helium film thickness under an electromagnetic field

  • S. C. Kenfack
  • A. J. Fotue
  • M. F. C. Fobasso
  • J-R. D. Djomou
  • M. Tiotsop
  • K. S. L. Ngouana
  • L. C. Fai
Original Paper
  • 94 Downloads

Abstract

We have studied the transition probability and decoherence time of levitating polaron in helium film thickness. By using a variational method of Pekar type, the ground and the first excited states of polaron are calculated above the liquid-helium film placed on the polar substrate. It is shown that the polaron transits from the ground to the excited state in the presence of an external electromagnetic field in the plane. We have seen that, in the helium film, the effects of the magnetic and electric fields on the polaron are opposite. It is also shown that the energy, transition probability and decoherence time of the polaron depend sensitively on the helium film thickness. We found that decoherence time decreases as a function of increasing electron–phonon coupling strength and the helium film thickness. It is seen that the film thickness can be considered as a new confinement in our system and can be adjusted in order to reduce decoherence.

Keywords

Decoherence Polaron Liquid helium 

PACS Nos.

03.65.Yz 71.38.-k 67.25.dt 

References

  1. [1]
    R Brunner et al. Phys. Rev. Lett. 107 146801 (2011)ADSCrossRefGoogle Scholar
  2. [2]
    S E Economou et al. Phys. Rev. B. 86 085319 (2012)ADSCrossRefGoogle Scholar
  3. [3]
    C Gang et al. Chin. Phys. Lett. 29 030306 (2012)CrossRefGoogle Scholar
  4. [4]
    C Y Hsieh, A Rene and P Hawrylak Phys Rev B 86 115312 (2012)ADSCrossRefGoogle Scholar
  5. [5]
    S S Sokolov, A C A Ramos and N Studart J. Phys. Condens. Matt. 12 7341 (2000)ADSCrossRefGoogle Scholar
  6. [6]
    E P Pokatilov, S I Beril and M A Fren Phys. Stat. Sol. 168 211(1991)ADSCrossRefGoogle Scholar
  7. [7]
    S A Jackson and P M Platzman Phys. Rev. B. 24 499 (1981)ADSCrossRefGoogle Scholar
  8. [8]
    S A Jackson and P M Platzman. Phys. Rev. B. 25 4886 (1982)ADSCrossRefGoogle Scholar
  9. [9]
    V M Fomin and E P Pokatilov Phys. Stat. Sol. 132 69 (1985)ADSCrossRefGoogle Scholar
  10. [10]
    C Sikorski and U Merkt Phys. Rev. Lett. 62 2164 (1989)ADSCrossRefGoogle Scholar
  11. [11]
    A Lorke, J P Kotthaus and K Ploog Phys. Rev. Lett. 64 2559 (1990)ADSCrossRefGoogle Scholar
  12. [12]
    S Normura and T Kobayashi Phys. Rev. B. 45 1305 (1992)ADSCrossRefGoogle Scholar
  13. [13]
    T Demel, D Heitmann, P Grambow and K Ploog Rev. Lett. 64 788 (1990)ADSCrossRefGoogle Scholar
  14. [14]
    W Hansen et al. Phys. Rev. Lett. 62 2168 (1989)ADSCrossRefGoogle Scholar
  15. [15]
    M A Reed, J N Randall, R J Aggarwal, R J Matyi, T M Moore and A E Wetsel Phys. Rev. Lett. 60 535 (1988)ADSCrossRefGoogle Scholar
  16. [16]
    M H Degani and O Hipolito Phys. Rev. B. 35 4507 (1987)ADSCrossRefGoogle Scholar
  17. [17]
    C Y Chen, P W Jin W S Li and D L Lin Int. J. Mod. Phys. B. 11 991 (1997)ADSCrossRefGoogle Scholar
  18. [18]
    C Y Chen, S D Liang and M Li J. Phys. Condens. Matt. 61 903 (1994)Google Scholar
  19. [19]
    H J Xie, C Y Chen and S D Liang Phys. Rev. B. 52 1776 (1995)ADSCrossRefGoogle Scholar
  20. [20]
    L Liu, Y Du, H Zhou and T Lin Phys. Rev. B. 54 1953 (1996)ADSCrossRefGoogle Scholar
  21. [21]
    S D Liang, C Y Chen, S C Jiang and D L Lin, Phys. Rev. B. 53 459 (1996)CrossRefGoogle Scholar
  22. [22]
    V V Paranjape Phys. Rev. B. 53 6908 (1996)ADSCrossRefGoogle Scholar
  23. [23]
    J A Kenrow Phys. Rev. B. 55 7809 (1997)ADSCrossRefGoogle Scholar
  24. [24]
    S Mukhopadhyay and A Chatterjee Phys. Rev. B. 55 5944 (1997)ADSCrossRefGoogle Scholar
  25. [25]
    S S Li, K Chang and J B Xia Phys. Rev. B. 71 155301 (2005)ADSCrossRefGoogle Scholar
  26. [26]
    S S Li et al. Appl. Phys. 90 6151 (2001)CrossRefGoogle Scholar
  27. [27]
    P Roussignol, D Ricard, C Flytzanis and N Neuroth Phys. Rev. Lett. 62 312 (1989)ADSCrossRefGoogle Scholar
  28. [28]
    K D Zhu and S W Gu J. Phys. Condens. Matt. 41 291 (1992)Google Scholar
  29. [29]
    S Mukhopadhyay and A Chatterjee Phys. Condens. Matt. 8 4017 (1996)ADSCrossRefGoogle Scholar
  30. [30]
    N Issofa et al. Am. J. Mod. Phys. 4 158 (2015)CrossRefGoogle Scholar
  31. [31]
    H J Xie and C Y Chen Eur. Phys. J. B 5 215 (1998)ADSCrossRefGoogle Scholar
  32. [32]
    R Q Wang, H J Xie, and Y B Yu, Phys. Stat. Sol. B 242 890 (2005)ADSCrossRefGoogle Scholar
  33. [33]
    P Boucaud, S Sauvage, F Bras and G Fishman, Phys. E. 26 59 (2005)CrossRefGoogle Scholar
  34. [34]
    E A Zibik et al. Phys. E. 21 405 (2004)CrossRefGoogle Scholar
  35. [35]
    W P Li, J W Yin, Y F Yu, J L Xiao and Z W Wang, Int. J. Theor. Phys. 48 3339 (2009)CrossRefGoogle Scholar
  36. [36]
    Z X Li and J L Xiao, J. At. Mol. Sci. 2 74 (2011)Google Scholar
  37. [37]
    W Xiao, B Qi and J L Xiao, J. Low. Temp. Phys. 179 166 (2015)ADSCrossRefGoogle Scholar
  38. [38]
    Z X Li, J. Low. Temp. Phys. 181 30 (2015)ADSCrossRefGoogle Scholar
  39. [39]
    J P Barnes and W S Warren Phys. Rev. A 60 4363 (1999)ADSCrossRefGoogle Scholar
  40. [40]
    D Tolkunov and V Privman Phys. Rev. A 69 062309(2004)ADSCrossRefGoogle Scholar
  41. [41]
    A Grodecka and P Machnikowski Phys. Rev. B 731 25306 (2006)Google Scholar
  42. [42]
    M Lovric, H G Krojanski and D Suter Phys. Rev. A 75 042305 (2007)ADSCrossRefGoogle Scholar
  43. [43]
    D J Griffiths Introduction to Quantum Mechanics, (Upper Saddle River, New Jersey: Prentice Hall) (1994)Google Scholar
  44. [44]
    S Chen and J Xiao Chin. J. Electron. 18 262 (2009)Google Scholar
  45. [45]
    A J Fotue et al. Am. J. Mod. Phys. 4 138 (2015)CrossRefGoogle Scholar

Copyright information

© Indian Association for the Cultivation of Science 2017

Authors and Affiliations

  • S. C. Kenfack
    • 1
    • 2
  • A. J. Fotue
    • 1
  • M. F. C. Fobasso
    • 1
  • J-R. D. Djomou
    • 1
  • M. Tiotsop
    • 1
  • K. S. L. Ngouana
    • 1
  • L. C. Fai
    • 1
  1. 1.Mesoscopic and Multilayer Structures Laboratory, Department of Physics, Faculty of ScienceUniversity of DschangDschangCameroon
  2. 2.African Institute for Mathematical SciencesCape TownSouth Africa

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