Skip to main content
Log in

Slow vector optical solitons in a cold four-level inverted-Y atomic system

  • Optical Physics
  • Published:
The European Physical Journal D Aims and scope Submit manuscript

Abstract

The authors show the formation of slow temporal vector optical solitons in a cold lifetime-broadened four-level inverted-Y atomic system. We demonstrate that Maxwell’s equations for describing two orthogonally polarised components of a low intensity signal field can evolve into two coupled nonlinear Schrödinger equations, which results in various distortion-free temporal vector optical solitons, such as bright-bright or dark-dark vector solitons. These results are produced from the correct balance between dispersion, self- and cross-phase modulation (SPM and XPM) effects. We also show that the integrable Manakov model can be realised by adjusting the corresponding SPM, XPM and dispersion effects of this inverted-Y atomic system.

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

Access this article

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

  • G.P. Agrawal, Nonlinear Fiber Optics (Academic, New York, 2001)

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

    Google Scholar 

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

    Google Scholar 

  • Y. Wu, J. Appl. Phys. 103, 104903 (2008)

    Google Scholar 

  • X.-T. Xie, W. Li, J. Li, W.-X. Yang, A. Yuan, X. Yang, Phys. Rev. B 75, 184423 (2007)

    Google Scholar 

  • B.A. Malomed, Soliton management in periodic systems (Springer, New York, 2006)

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

    Google Scholar 

  • H.E. Nistazakis, D.J. Frantzeskakis, P.G. Kevrekidis, B.A. Malomed, R. Carretero-González, Phys. Rev. A 77, 033612 (2008)

    Google Scholar 

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

    Google Scholar 

  • Y. Wu, L. Deng, Opt. Lett. 29, 2064 (2004)

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

    Google Scholar 

  • C. Hang, G. Huang, L. Deng, Phys. Rev. E 73, 036607 (2006)

    Google Scholar 

  • X.-J. Liu, H. Jing, M.-L. Ge, Phys. Rev. A 70, 055802 (2004)

    Google Scholar 

  • W.-X. Yang, J.-M. Hou, R.-K. Lee, Phys. Rev. A 77, 033838 (2008)

    Google Scholar 

  • W.-X. Yang, R.-K. Lee, Europhys. Lett. 83, 14002 (2008)

    Google Scholar 

  • D.V. Skryabin, A.V. Yulin, A.I. Maimistov, Phys. Rev. Lett. 96, 163904 (2006)

    Google Scholar 

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

    Google Scholar 

  • Q.-H. Park, H.J. Shin, Phys. Rev. E 61, 3093 (2000)

    Google Scholar 

  • D. Rand, I. Glesk, C.-S. Brès, D.A. Nolan, X. Chen, J. Koh, J.W. Fleischer, K. Steiglitz, P.R. Prucnal, Phys. Rev. Lett. 98, 053902 (2007)

    Google Scholar 

  • C. Hang, G. Huang, Phys. Rev. A 77, 033830 (2008)

    Google Scholar 

  • L.-G. Si, J.-B. Liu, X.-Y. Lü, X. Yang, J. Phys. B 41, 215504 (2008); L.-G. Si, W.-X. Yang, X. Yang, J. Opt. Soc. Am. B 26, 478 (2009); L.-G. Si, W.-X. Yang, J.-B. Liu, J. Li, X. Yang, Opt. Express 17, 7771 (2009)

  • A.E. Korolev, V.N. Nazarov, D.A. Nolan, C.M. Truesdale, Opt. Lett. 30, 132 (2005)

    Google Scholar 

  • Y. Barad, Y. Silberberg, Phys. Rev. Lett. 78, 3290 (1997)

  • S.T. Cundiff, B.C. Collings, N.N. Akhmediev, J.M. Soto-Crespo, K. Bergman, W.H. Knox, Phys. Rev. Lett. 82, 3988 (1999)

    Google Scholar 

  • D.Y. Tang, H. Zhang, L.M. Zhao, X. Wu, Phys. Rev. Lett. 101, 153904 (2008)

    Google Scholar 

  • M. Segev, G.C. Valley, B. Crosignani, P. DiPorto, A. Yariv, Phys. Rev. Lett. 73, 3211 (1994)

    Google Scholar 

  • Z. Chen, M. Segev, T.H. Coskun, D.N. Christodoulides, Opt. Lett. 21, 1436 (1996)

    Google Scholar 

  • J.U. Kang, G.I. Stegeman, J.S. Aitchison, N. Akhmediev, Phys. Rev. Lett. 76, 3699 (1996)

    Google Scholar 

  • C. Anastassiou, J.W. Fleischer, T. Carmon, M. Segev, K. Steiglitz, Opt. Lett. 26, 1498 (2001)

    Google Scholar 

  • M. Delquè, T. Sylvestre, H. Maillotte, C. Cambournac, P. Kockaert, M. Haelterman, Opt. Lett. 30, 3383 (2005)

    Google Scholar 

  • D.V. Skryabin, F. Biancalana, D.M. Bird, F. Benabid, Phys. Rev. Lett. 93, 143907 (2004)

    Google Scholar 

  • S.E. Harris, Phys. Today 50, 36 (1997)

    Google Scholar 

  • S.E. Harris, L.V. Hau, Phys. Rev. Lett. 82, 4611 (1999)

  • Y. Wu, X. Yang, Phys. Rev. A 71, 053806 (2005)

    Google Scholar 

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

  • Y. Wu, X. Yang, Opt. Lett. 29, 839 (1996)

  • Y. Wu, X. Yang, Phys. Rev. A 70, 053818 (2004)

    Google Scholar 

  • A. Joshi, M. Xiao, Phys. Lett. A 317, 2003 (370)

  • M. Yan, E.G. Rickey, Y. Zhu, Phys. Rev. A 64, 043807 (2001)

    Google Scholar 

  • A. Joshi, M. Xiao, Phys. Rev. A 71, 041801(R) (2005)

  • A. Joshi, M. Xiao, Phys. Rev. A 72, 062319 (2005)

    Google Scholar 

  • A. Joshi, M. Xiao, Phys. Rev. A 74, 052318 (2006)

    Google Scholar 

  • J. Wen, S. Du, Y. Zhang, M. Xiao, M.H. Rubin, Phys. Rev. A 77, 033816 (2008)

    Google Scholar 

  • S. Trillo, S. Wabnitz, E.M. Wright, G.I. Stegeman, Opt. Lett. 13, 871 (1988)

    Google Scholar 

  • V.V. Afanasyev, Y.S. Kivshar, V.V. Konotop, V.N. Serkin, Opt. Lett. 14, 805 (1989)

    Google Scholar 

  • P.C. Subramaniam, Opt. Lett. 16, 1560 (1991)

    Google Scholar 

  • J. Yang, Phys. Rev. E 59, 2393 (1999)

    Google Scholar 

  • E. Yomba, Phys. Lett. A 372, 1612 (2008)

    Google Scholar 

  • Y. Wu, L. Wen, Y. Zhu, Opt. Lett. 28, 631 (2003)

  • X. Yang, Y. Wu, Commun. Theor. Phys. 45, 335 (2006)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to L. G. Si.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Si, L., Yang, W., Lü, X. et al. Slow vector optical solitons in a cold four-level inverted-Y atomic system. Eur. Phys. J. D 55, 161–166 (2009). https://doi.org/10.1140/epjd/e2009-00205-7

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjd/e2009-00205-7

PACS

Navigation