Skip to main content
SpringerLink
Log in

The formation and transformation of the spatial weak-light bright and dark solitons in a quantum dot molecule with the interdot tunneling coupling

  • Regular Article
  • Published:
The European Physical Journal D Aims and scope Submit manuscript

Abstract

We study analytically the properties of the optical absorption and the spatial weak-light solitons in a quantum dot molecule system with the interdot tunneling coupling (ITC). It is shown that, for the linear case, there exists tunneling induced transparency (TIT) in the context of a weak ITC, while the TIT can be replaced by Autler-Townes splitting in the presence of a strong ITC. For the nonlinear case, it is probable to realize the spatial optical solitons even under weak light intensity. Interestingly, we find that there appears transformation behavior between the bright and dark solitons by properly turning both the ITC strength and the detuning of the probe field. Meanwhile, the transformation condition of the bright and dark solitons is obtained. Additionally it is also found that the amplitude of the solitons first descends and then rises with the increasing of ITC strength. Our results may have potential applications for nonlinear optical experiments and optical telecommunication engineering in solid systems.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. H.A. Haus, W.S. Wong, Rev. Mod. Phys. 68, 423 (1996)

    Article  ADS  Google Scholar 

  2. G.I. Stegeman, M. Segev, Phys. Today 51, 42 (1998)

    Google Scholar 

  3. Z.G. Chen, M. Segev, D.N. Christodoulides, Rep. Prog. Phys. 75, 86401 (2012)

    Article  Google Scholar 

  4. A. Hasegawa, Y. Kodama, Solitons in Optical Communications (Clarendon Press, Oxford, 1995)

  5. G.I. Stegeman, M. Segev, Science 286, 1518 (1999)

    Article  Google Scholar 

  6. S.E. Harris, J.E. Field, A. Imamoglu, Phys. Rev. Lett. 64, 1107 (1990)

    Article  ADS  Google Scholar 

  7. H. Schmidt, A. Imamoglu, Opt. Lett. 21, 1936 (1996)

    Article  ADS  Google Scholar 

  8. H. Wang, D. Goorskey, M. Xiao, Phys. Rev. Lett. 87, 073601 (2001)

    Article  ADS  Google Scholar 

  9. T. Hong, M.W. Jack, M. Yamashita, T. Mukai, Opt. Commun. 214, 371 (2002)

    Article  ADS  Google Scholar 

  10. Y.C. She, X.J. Zheng, D.L. Wang, W.X. Zhang, Opt. Express 21, 17392 (2013)

    Article  Google Scholar 

  11. H. Kang, Y.F. Zhu, Phys. Rev. Lett. 91, 093601 (2003)

    Article  ADS  Google Scholar 

  12. L. Li, G.X. Huang, Eur. Phys. J. D 58, 339 (2010)

    Article  ADS  Google Scholar 

  13. Y.C. She, D.L. Wang, W.X. Zhang, Z.M. He, J.W. Ding, J. Opt. Soc. Am. B 27, 208 (2010)

    Article  Google Scholar 

  14. Y. Wu, L. Deng, Phys. Rev. Lett. 93, 143904 (2004)

    Article  ADS  Google Scholar 

  15. Y. Wu, X.X. Yang, Appl. Phys. Lett. 91, 094104 (2007)

    Article  ADS  Google Scholar 

  16. H.S. Eisenberg, Y. Silberberg, R. Morandotti, A.R. Boyd, J.S. Aitchison, Phys. Rev. Lett. 81, 3383 (1998)

    Article  ADS  Google Scholar 

  17. A.A. Sukhorukov, Y.S. Kivshar, H.S. Eisenberg, Y. Silberberg, IEEE J. Quantum Electron. 39, 31 (2003)

    Article  ADS  Google Scholar 

  18. Y.C. She, D.L. Wang, W.X. Zhang, Z.Q. Zhang, J.W. Ding, Eur. Phys. J. D 61, 181 (2011)

    Article  ADS  Google Scholar 

  19. T. Hong, Phys. Rev. Lett. 90, 183901 (2003)

    Article  ADS  Google Scholar 

  20. H.J. Li, G.X. Huang, Phys. Lett. A 372, 4127 (2008)

    Article  ADS  MATH  Google Scholar 

  21. H.J. Li, Y.P. Wu, G.X. Huang, Phys. Rev. A 84, 033816 (2011)

    Article  ADS  Google Scholar 

  22. C. Hang, V.V. Knototop, Phys. Rev. A 83, 053845 (2011)

    Article  ADS  Google Scholar 

  23. L.G. Si, W.X. Yang, X.Y. Lü, J.H. Li, X.X. Yang, Eur. Phys. J. D 55, 161 (2009)

    Article  ADS  Google Scholar 

  24. C. Hang, G.X. Huang, L. Deng, Phys. Rev. E 74, 046601 (2006)

    Article  ADS  Google Scholar 

  25. X.T. Xie, W.B. Li, X.X. Yang, J. Opt. Soc. Am. B 23, 1609 (2006)

    Article  ADS  Google Scholar 

  26. C. Hang, V.V. Knototop, G.X. Huang, Phys. Rev. A 79, 030826 (2009)

    Article  Google Scholar 

  27. V.B. Taranenko, C.O. Weiss, W. Stolz, Opt. Lett. 26, 1574 (2001)

    Article  ADS  Google Scholar 

  28. C.J. Chang-Hasnain, P.C. Ku, J. Kim, S.L. Chuang, in Proceeding of the IEEE Conference on Special Issue on Nanoelectronics and Nanoscale Proceeding (2003), pp. 1884–1897

  29. P.C. Peng, C.T. Lin, H.C. Kuo, W.K. Tsai, J.N. Liu, S. Chi, S.C. Wang, G. Lin, H.P. Yang, K.F. Lin, J.Y. Chi, Opt. Express 14, 12880 (2006)

    Article  ADS  Google Scholar 

  30. H. Su, S.L. Chuang, Opt. Lett. 31, 271 (2006)

    Article  ADS  Google Scholar 

  31. X.Y. Hao, J. Wu, Y. Wang, J. Opt. Soc. Am. B 29, 420 (2012)

    Article  ADS  Google Scholar 

  32. X.Y. Lü, J. Wu, L.L. Zheng, Z.M. Zhan, Phys. Rev. A 83, 042302 (2011)

    Article  ADS  Google Scholar 

  33. J.H. Li, R. Yu, L.G. Si, X.Y. Lü, X.X. Yang, J. Phys. B 42, 055509 (2009)

    Article  ADS  Google Scholar 

  34. W.W. Chow, H.C. Schneider, M.C. Phillips, Phys. Rev. A 68, 053802 (2003)

    Article  ADS  Google Scholar 

  35. W.X. Yang, A.X. Chen, R.K. Lee, Y. Wu, Phys. Rev. A 84, 013835 (2011)

    Article  ADS  Google Scholar 

  36. J.H. Li, R. Yu, P. Huang, X.X. Yang, Phys. Lett. A 373, 554 (2009)

    Article  ADS  Google Scholar 

  37. K. Müller, A. Bechtold, C. Ruppert, M. Zecherle, G. Reithmaier, M. Bichler, H.J. Krenner, G. Abstreiter, A.W. Holleitner, J.M. Villas-Bôas, M. Betz, J.J. Finley, Phys. Rev. Lett. 108, 197402 (2012)

    Article  ADS  Google Scholar 

  38. V.V. Nikolaev, N.S. Averkiev, M.M. Sobolev, I.M. Gadzhiyev, I.O. Bakshaev, M.S. Buyalo, E.L. Portnoi, Phys. Rev. B 80, 205304 (2009)

    Article  ADS  Google Scholar 

  39. A.O. Govorov, Phys. Rev. B 71, 155323 (2005)

    Article  ADS  Google Scholar 

  40. T. Unold, K. Mueller, C. Lienau, T. Elsaesser, A.D. Wieck, Phys. Rev. Lett. 94, 137404 (2005)

    Article  ADS  Google Scholar 

  41. J. Gea-Banacloche, M. Mumba, M. Xiao, Phys. Rev. B 74, 165330 (2006)

    Article  ADS  Google Scholar 

  42. A. Zrenner, E. Beham, S. Stufler, F. Findeis, M. Bichler, G. Abstreiter, Nature 418, 612 (2002)

    Article  ADS  Google Scholar 

  43. T.H. Oosterkamp, T. Fujisawa, W.G. van derWiel, K. Ishibashi, R.V. Hijman, S. Tarucha, L.P. Kouwenhoven, Nature 395, 873 (1998)

    Article  ADS  Google Scholar 

  44. J.M. Villas-Bôas, A.O. Govorov, S.E. Ulloa, Phys. Rev. B 69, 125342 (2004)

    Article  ADS  Google Scholar 

  45. H.S. Borges, L. Sanz, J.M. Villas-Bôas, O.O. Diniz Neto, A.M. Alcalde, Phys. Rev. B 85, 115425 (2012)

    Article  ADS  Google Scholar 

  46. C.H. Yuan, K.D. Zhu, Appl. Phys. Lett. 89, 052115 (2006)

    Article  ADS  Google Scholar 

  47. C.H. Yuan, K.D. Zhu, Y.W. Jiang, J. Appl. Phys. 102, 023109 (2007)

    Article  ADS  Google Scholar 

  48. M. Mahmoudi, M. Sahrai, Physica E 41, 1772 (2009)

    Article  ADS  Google Scholar 

  49. S. Hossein Asadpour, M. Sahrai, R. Sadighi-Bonabi, A. Soltani, H. Mahrami, Physica E 43, 1759 (2011)

    Article  ADS  Google Scholar 

  50. M. Mahmoudi, A. Vafafard, N. Nozari, S.G. Esfahani, in Proc. SPIE 7998, International Conference on Laser Physics, 2010, Ashtarak, Armenia (2010), p. 79981H

  51. A. Vafafard, S. Goharshenasan, N. Nozari, A. Mortezapour, M. Mahmoudi, J. Lumin. 134, 900 (2013)

    Article  Google Scholar 

  52. Z.P. Wang, S.L. Zhen, X.Q. Wu, J. Zhu, Z.G. Cao, B.L. Yu, Opt. Commun. 304, 7 (2013)

    Article  ADS  Google Scholar 

  53. J. Li, J. Liu, X. Yang, Physica E 40, 2196 (2008)

    ADS  MathSciNet  Google Scholar 

  54. J.H. Li, R. Yu, L.G. Si, X.X. Yang, Opt. Commun. 282, 2437 (2009)

    Article  ADS  Google Scholar 

  55. J.H. Li, R. Yu, A.S. Zhen, X.X. Yang, Phys. Lett. A 372, 7086 (2008)

    Article  ADS  MATH  Google Scholar 

  56. P. Borri, W. Langbein, U. Woggon, M. Schwab, M. Bayer, S. Fafard, Z. Wasilewski, P. Hawrylak, Phys. Rev. Lett. 91, 267401 (2003)

    Article  ADS  Google Scholar 

  57. W.X. Yang, J.M. Hou, Y.Y. Lin, R.K. Lee, Phys. Rev. A 79, 033825 (2009)

    Article  ADS  Google Scholar 

  58. L.G. Si, X.Y. Lü, X.Y. Hao, J.H. Li, J. Phys. B 43, 065403 (2010)

    Article  ADS  Google Scholar 

  59. Y. Wu, Phys. Rev. A 71, 053820 (2005)

    Article  ADS  Google Scholar 

  60. X.Q. Luo, D.L. Wang, Z.Q. Zhang, J.W. Ding, W.M. Liu, Phys. Rev. A 84, 033803 (2011)

    Article  ADS  Google Scholar 

  61. H. Kamada, H. Gotoh, J. Temmyo, T. Takagahara, H. Ando, Phys. Rev. Lett. 87, 246401 (2001)

    Article  ADS  Google Scholar 

  62. N.H. Bonadeo, J. Erland, D. Gammon, D. Park, D.S. Katzer, D.G. Steel, Science 282, 1473 (1998)

    Article  Google Scholar 

  63. G. Ortner, M. Schwab, P. Borri, W. Langbein, U. Woggon, M. Bayer, S. Fafard, Z. Wasilewski, P. Hawrylak, Y.B. Lyanda-Geller, T.L. Reinecke, A. Forchel, Physica E 25, 256 (2004)

    Article  ADS  Google Scholar 

  64. C. Bardot, M. Schwab, M. Bayer, S. Fafard, Z. Wasilewski, P. Hawrylak, Phys. Rev. B 72, 035314 (2005)

    Article  ADS  Google Scholar 

  65. L.V. Butov, A. Zrenner, G. Abstreiter, G. Bohm, G. Weimann, Phys. Rev. Lett. 73, 304 (1994)

    Article  ADS  Google Scholar 

  66. Y.S. Kivshar, B. Luther-Davies, Phys. Rep. 298, 81 (1998)

    Article  ADS  Google Scholar 

  67. A. Tackeuchi, T. Kuroda, K. Mase, Y. Nakata, N. Yokoyama, Phys. Rev. B 62, 1568 (2000)

    Article  ADS  Google Scholar 

  68. C. Emary, L.J. Sham, Phys. Rev. B 75, 125317 (2007)

    Article  ADS  Google Scholar 

  69. B. Shi, Y.H. Xie, Appl. Phys. Lett. 82, 4788 (2003)

    Article  ADS  Google Scholar 

  70. K. Goshima, S. Yamauchi, K. Komori, I. Morohashi, T. Sugaya, Appl. Phys. Lett. 87, 253110 (2005)

    Article  ADS  Google Scholar 

  71. H. Schmidt, K.L. Campman, A.C. Gossard, A. Imamoglu, Appl. Phys. Lett. 70, 3355 (2009)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics, Xiangtan University, Xiangtan, 411105, P.R. China

    Kuanhong Zeng, Denglong Wang, Yanchao She & Xiaoqin Luo

  2. Department of Physics, Tongren University, Tongren, 554300, P.R. China

    Yanchao She

Authors
  1. Kuanhong Zeng
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Denglong Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Yanchao She
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Xiaoqin Luo
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Denglong Wang.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zeng, K., Wang, D., She, Y. et al. The formation and transformation of the spatial weak-light bright and dark solitons in a quantum dot molecule with the interdot tunneling coupling. Eur. Phys. J. D 67, 221 (2013). https://doi.org/10.1140/epjd/e2013-40197-y

Download citation

  • Received:

  • Revised:

  • Published:

  • DOI: https://doi.org/10.1140/epjd/e2013-40197-y

Keywords

Search

Navigation