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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Editor: Henry Van Driel
  • Vol. 26, Iss. 3 — Mar. 1, 2009
  • pp: 478–486

Ultraslow temporal vector optical solitons in a cold four-level tripod atomic system

Liu-Gang Si, Wen-Xing Yang, and Xiaoxue Yang  »View Author Affiliations


JOSA B, Vol. 26, Issue 3, pp. 478-486 (2009)
http://dx.doi.org/10.1364/JOSAB.26.000478


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Abstract

We show the possibility of generating ultraslow temporal vector optical solitons in a cold lifetime-broadened four-level tripod atomic medium under Raman excitation. We demonstrate that the two orthogonally polarized components of the low-intensity signal field can evolve into various distortion-free temporal vector optical solitons, such as bright–bright vector solitons with ultraslow group velocity. These results are produced from the balance of self- and cross-phase modulation effects and dispersion. We also show that Manakov temporal vector solitons may be realized by adjusting the corresponding self- and cross-phase modulation and dispersion effects of our system.

© 2009 Optical Society of America

OCIS Codes
(160.4330) Materials : Nonlinear optical materials
(190.5530) Nonlinear optics : Pulse propagation and temporal solitons
(260.7490) Physical optics : Zeeman effect

ToC Category:
Nonlinear Optics

History
Original Manuscript: October 31, 2008
Revised Manuscript: December 2, 2008
Manuscript Accepted: December 17, 2008
Published: February 17, 2009

Citation
Liu-Gang Si, Wen-Xing Yang, and Xiaoxue Yang, "Ultraslow temporal vector optical solitons in a cold four-level tripod atomic system," J. Opt. Soc. Am. B 26, 478-486 (2009)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-26-3-478


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References

  1. G. P. Agrawal, Nonlinear Fiber Optics (Academic, 2001).
  2. H. A. Haus and W. S. Wong, “Solitons in optical communications,” Rev. Mod. Phys. 68, 423-444 (1996). [CrossRef]
  3. Y. Wu and X. Yang, “Giant Kerr nonlinearities and solitons in a crystal of molecular magnets,” Appl. Phys. Lett. 91, 094104 (2007). [CrossRef]
  4. Y. Wu, “Matched soliton pairs of four-wave mixing in molecular magnets,” J. Appl. Phys. 103, 104903 (2008). [CrossRef]
  5. X.-T. Xie, W. Li, J. Li, W.-X. Yang, A. Yuan, and X. Yang, “Transverse acoustic wave in molecular magnets via electromagnetically induced transparency,” Phys. Rev. B 75, 184423 (2007). [CrossRef]
  6. B. A. Malomed, Soliton Management in Periodic Systems (Springer, 2006) and reference therein.
  7. Y. Wu and L. Deng, “Ultraslow optical solitons in a cold four-state medium,” Phys. Rev. Lett. 93, 143904 (2004). [CrossRef] [PubMed]
  8. Y. Wu and L. Deng, “Ultraslow bright and dark optical solitons in a cold three-state medium,” Opt. Lett. 29, 2064-2066 (2004). [CrossRef] [PubMed]
  9. Y. Wu, “Two-color ultraslow optical solitons via four-wave mixing in cold-atom media,” Phys. Rev. A 71, 053820 (2005). [CrossRef]
  10. L. Deng, M. G. Payne, G. Huang, and E. W. Hagley, “Formation and propagation of matched and coupled ultraslow optical soliton pairs in a four-level double-Λ system,” Phys. Rev. E 72, 055601(R) (2005). [CrossRef]
  11. C. Hang, G. Huang, and L. Deng, “Generalized nonlinear Schrödinger equation and ultraslow optical solitons in a cold four-state atomic system,” Phys. Rev. E 73, 036607 (2006). [CrossRef]
  12. X.-T. Xie, W.-B. Li, and X. Yang, “Bright, dark, bistable bright, and vortex spatial-optical solitons in a cold three-state medium,” J. Opt. Soc. Am. B 23, 1609-1614 (2006). [CrossRef]
  13. X. Wu, X.-T. Xie, and X. Yang, “Dark and bright vortex solitons in electromagnetically induced transparent media,” J. Phys. B 39, 3263-3273 (2006). [CrossRef]
  14. W.-X. Yang, J.-M. Hou, and R.-K. Lee, “Ultraslow bright and dark solitons in semiconductor quantum wells,” Phys. Rev. A 77, 033838 (2008). [CrossRef]
  15. X.-J. Liu, H. Jing, and M.-L. Ge, “Solitons formed by dark-state polaritons in an electromagnetic induced transparency,” Phys. Rev. A 70, 055802 (2004). [CrossRef]
  16. D. V. Skryabin, A. V. Yulin, and A. I. Maimistov, “Localized polaritons and second-harmonic generation in a resonant medium with quadratic nonlinearity,” Phys. Rev. Lett. 96, 163904 (2006). [CrossRef] [PubMed]
  17. G. T. Adamashvili, C. Weber, A. Knorr, and N. T. Adamashvili, “Optical nonlinear waves in semiconductor quantum dots: solitons and breathers,” Phys. Rev. A 75, 063808 (2007). [CrossRef]
  18. Y. S. Kivshar and B. Luther-Davies, “Dark optical solitons: physics and applications,” Phys. Rep. 298, 81-197 (1998). [CrossRef]
  19. Q. Park and H. J. Shin, “Systematic construction of multicomponent optical solitons,” Phys. Rev. E 61, 3093-3106 (2000). [CrossRef]
  20. A. E. Korolev, V. N. Nazarov, D. A. Nolan, and C. M. Truesdale, “Experimental observation of orthogonally polarized time-delayed optical soliton trapping in birefringent fibers,” Opt. Lett. 30, 132-134 (2005). [CrossRef] [PubMed]
  21. Y. Barad and Y. Silberberg, “Polarization evolution and polarization instability of solitons in a birefringent optical fiber,” Phys. Rev. Lett. 78, 3290-3293 (1997). [CrossRef]
  22. D. Rand, I. Glesk, C.-S. Brès, D. A. Nolan, X. Chen, J. Koh, J. W. Fleischer, K. Steiglitz, and P. R. Prucnal, “Observation of temporal vector soliton propagation and collision in birefringent fiber,” Phys. Rev. Lett. 98, 053902 (2007). [CrossRef] [PubMed]
  23. S. T. Cundiff, B. C. Collings, N. N. Akhmediev, J. M. Soto-Crespo, K. Bergman, and W. H. Knox, “Observation of polarization-locked vector solitons in an optical fiber,” Phys. Rev. Lett. 82, 3988-3991 (1999). [CrossRef]
  24. G. Huang, K. Jiang, M. G. Payne, and L. Deng, “Formation and propagation of coupled ultraslow optical soliton pairs in a cold three-state double-Λ, system,” Phys. Rev. E 73, 056606 (2006). [CrossRef]
  25. C. Hang and G. Huang, “Weak-light ultraslow vector solitons via electromagnetically induced transparency,” Phys. Rev. A 77, 033830 (2008). [CrossRef]
  26. L.-G. Si, J.-B. Liu, X.-Y. Lü, and X. Yang, “Ultraslow temporal vector optical solitons in a cold five-state atomic medium under Raman excitation,” J. Phys. B 41, 215504 (2008). [CrossRef]
  27. M. Segev, G. C. Valley, B. Crosignani, P. DiPorto, and A. Yariv, “Steady-state spatial screening solitons in photorefractive materials with external applied field,” Phys. Rev. Lett. 73, 3211-3214 (1994). [CrossRef] [PubMed]
  28. Z. Chen, M. Segev, T. H. Coskun, and D. N. Christodoulides, “Observation of incoherently coupled photorefractive spatial soliton pairs,” Opt. Lett. 21, 1436-1438 (1996). [CrossRef] [PubMed]
  29. J. U. Kang, G. I. Stegeman, J. S. Aitchison, and N. Akhmediev, “Observation of Manakov spatial solitons in AlGaAs planar waveguides,” Phys. Rev. Lett. 76, 3699-3702 (1996). [CrossRef] [PubMed]
  30. C. Anastassiou, J. W. Fleischer, T. Carmon, M. Segev, and K. Steiglitz, “Information transfer via cascaded collisions of vector solitons,” Opt. Lett. 26, 1498-1500 (2001). [CrossRef]
  31. M. Delquè, T. Sylvestre, H. Maillotte, C. Cambournac, P. Kockaert, and M. Haelterman, “Experimental observation of the elliptically polarized fundamental vector soliton of isotropic Kerr media,” Opt. Lett. 30, 3383-3385 (2005). [CrossRef]
  32. D. V. Skryabin, F. Biancalana, D. M. Bird, and F. Benabid, “Effective Kerr nonlinearity and two-color solitons in photonic band-gap fibers filled with a Raman active gas,” Phys. Rev. Lett. 93, 143907 (2004). [CrossRef] [PubMed]
  33. S. E. Harris, “Electromagnetically induced transparency,” Phys. Today 50, 36-42 (1997). [CrossRef]
  34. S. E. Harris and L. V. Hau, “Nonlinear optics at low light levels,” Phys. Rev. Lett. 82, 4611-4614 (1999). [CrossRef]
  35. Y. Wu and X. Yang, “Electromagnetically induced transparency in V-, Λ-, and cascade-type schemes beyond steady-state analysis,” Phys. Rev. A 71, 053806 (2005). [CrossRef]
  36. M. D. Lukin and A. Imamoğlu, “Nonlinear optics and quantum entanglement of ultraslow single photons,” Phys. Rev. Lett. 84, 1419-1422 (2000). [CrossRef] [PubMed]
  37. H. Schmidt and A. Imamoğlu, “Giant Kerr nonlinearities obtained by electromagnetically induced transparency,” Opt. Lett. 21, 1936-1938 (1996). [CrossRef] [PubMed]
  38. Y. Han, J. Xiao, Y. Liu, C. Zhang, H. Wang, M. Xiao, and K. Peng, “Interacting dark states with enhanced nonlinearity in an ideal four-level tripod atomic system,” Phys. Rev. A 77, 023824 (2008). [CrossRef]
  39. Y. Wu and X. Yang, “Highly efficient four-wave mixing in double-Λ system in ultraslow propagation regime,” Phys. Rev. A 70, 053818 (2004). [CrossRef]
  40. Y. Wu and X. Yang, “Eigenstates and eigenenergies of four-wave-mixing models,” Opt. Lett. 29, 839-841 (1996). [CrossRef]
  41. E. Paspalakis and P. L. Knight, “Electromagnetically induced transparency and controlled group velocity in a multilevel system,” Phys. Rev. A 66, 015802 (2002). [CrossRef]
  42. E. Paspalakis, N. J. Kylstra, and P. L. Knight, “Propagation and nonlinear generation dynamics in a coherently prepared four-level system,” Phys. Rev. A 65, 053808 (2002). [CrossRef]
  43. T. Wang, M. Koštrun, and S. F. Yelin, “Multiple beam splitter for single photons,” Phys. Rev. A 70, 033822 (2004). [CrossRef]
  44. A. Raczyński, J. Zaremba, and S. Zielińska-Kaniasty, “Beam splitting and Hong-Ou-Mandel interference for stored light,” Phys. Rev. A 75, 013810 (2007). [CrossRef]
  45. F. Vewinger, M. Heinz, R. G. Fernandez, N. V. Vitanov, and K. Bergmann, “Creation and measurement of a coherent superposition of quantum states,” Phys. Rev. Lett. 91, 213001 (2003). [CrossRef] [PubMed]
  46. K. Bergmann, H. Theuer, and B. W. Shore, “Coherent population transfer among quantum states of atoms and molecules,” Rev. Mod. Phys. 70, 1003-1025 (1998). [CrossRef]
  47. S. Rebić, D. Vitali, C. Ottaviani, P. Tombesi, M. Artoni, F. Cataliotti, and R. Corbalán, “Polarization phase gate with a tripod atomic system,” Phys. Rev. A 70, 032317 (2004). [CrossRef]
  48. D. Petrosyan and Y. P. Malakyan, “Magneto-optical rotation and cross-phase modulation via coherently driven four-level atoms in a tripod configuration,” Phys. Rev. A 70, 023822 (2004). [CrossRef]
  49. S. Li, X. Yang, X. Cao, C. Zhang, C. Xie, and H. Wang, “Enhanced cross-phase modulation based on a double electromagnetically induced transparency in a four-level tripod atomic system,” Phys. Rev. Lett. 101, 073602 (2008). [CrossRef] [PubMed]
  50. Y. Guo, L. Zhou, L.-M. Kuang, and C. P. Sun, “Magneto-optical Stern-Gerlach effect in an atomic ensemble,” Phys. Rev. A 78, 013833 (2008). [CrossRef]
  51. D. A. Steck, http://steck.us/alkalidata.
  52. Y. Wu, M. G. Payne, E. W. Hagley, and L. Deng, “Preparation of multiparty entangled states using pairwise perfectly efficient single-probe photon four-wave mixing,” Phys. Rev. A 69, 063803 (2004). [CrossRef]
  53. Y. Wu, M. G. Payne, E. W. Hagley, and L. Deng, “Ultraviolet single-photons on demand and entanglement of photons with a large frequency difference,” Phys. Rev. A 70, 063812 (2004). [CrossRef]
  54. X. Yang and Y. Wu, “Achieving an ultra-slowly propagating maximally entangled state of two light beams via four-wave mixing in a double-Λ system,” J. Opt. B: Quantum Semiclassical Opt. 7, 54-56 (2005). [CrossRef]
  55. J. Yang, “Multisoliton perturbation theory for the Manakov equations and its applications to nonlinear optics,” Phys. Rev. E 59, 2393-2405 (1999). [CrossRef]
  56. V. E. Zakharov and E. L. Schulman, “To the integrability of the system of two coupled nonlinear Schrödinger equations,” Physica D 4, 270-274 (1982). [CrossRef]
  57. B. Tan and J. P. Boyd, “Stability and long time evolution of the periodic solutions to the two coupled nonlinear Schrödinger equations,” Chaos, Solitons Fractals 12, 721-734 (2001) and reference therein. [CrossRef]
  58. A. Aydin and B. Karasözen, “Symplectic and multi-symplectic methods for coupled nonlinear Schrödinger equations with periodic solutions,” Comput. Phys. Commun. 177, 566-583 (2007) and reference therein. [CrossRef]

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