中国物理B ›› 2010, Vol. 19 ›› Issue (5): 54214-054214.doi: 10.1088/1674-1056/19/5/054214

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Ultraslow optical solitons via electromagnetically induced transparency: a density-matrix approach

骆斌1, 杭超2, 黄国翔3, 李慧军4   

  1. (1)Department of Physics and Information Science, Yulin Teachers College, Yulin 537000, China;Department of Physics, East China Normal University, Shanghai 200062, China; (2)Department of Physics, East China Normal University, Shanghai 200062, China; (3)Department of Physics, East China Normal University, Shanghai 200062, China;Department of Physics, Zhejiang Normal University, Jinhua 321004, China; (4)Department of Physics, Zhejiang Normal University, Jinhua 321004, China
  • 收稿日期:2008-10-29 修回日期:2009-09-22 出版日期:2010-05-15 发布日期:2010-05-15
  • 基金资助:
    Project supported by National Natural Science Foundation of China (Grant Nos.~10674060, 10874043 and 10974181), by the National Basic Research Program of China (Grant Nos.~2005CB724508 and 2006CB921104).

Ultraslow optical solitons via electromagnetically induced transparency: a density-matrix approach

Luo Bin(骆斌)a)b), Hang Chao(杭超)b), Li Hui-Jun(李慧军)c), and Huang Guo-Xiang(黄国翔)b)c)   

  1. a Department of Physics and Information Science, Yulin Teachers College, Yulin 537000, China; b Department of Physics, East China Normal University, Shanghai 200062, China; c Department of Physics, Zhejiang Normal University, Jinhua 321004, China
  • Received:2008-10-29 Revised:2009-09-22 Online:2010-05-15 Published:2010-05-15
  • Supported by:
    Project supported by National Natural Science Foundation of China (Grant Nos.~10674060, 10874043 and 10974181), by the National Basic Research Program of China (Grant Nos.~2005CB724508 and 2006CB921104).

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摘要： We study the ultraslow optical solitons in a resonant three-level atomic system via electromagnetically induced transparency under a density-matrix (DM) approach. The results of linear and nonlinear optical properties are compared with those obtained by using an amplitude variable (AV) approach. It is found that the results for both approaches are the same in the linear regime if the corresponding relations between the population-coherence decay rates in the DM approach and the energy-level decay rates in the AV approach are appropriately imposed. However, in the nonlinear regime there is a small difference for the self-phase modulation coefficient of the nonlinear Schr\"{o}dinger equation that governs the time evolution of probe pulse envelope. All analytical predicts are checked by numerical simulations.

Abstract: We study the ultraslow optical solitons in a resonant three-level atomic system via electromagnetically induced transparency under a density-matrix (DM) approach. The results of linear and nonlinear optical properties are compared with those obtained by using an amplitude variable (AV) approach. It is found that the results for both approaches are the same in the linear regime if the corresponding relations between the population-coherence decay rates in the DM approach and the energy-level decay rates in the AV approach are appropriately imposed. However, in the nonlinear regime there is a small difference for the self-phase modulation coefficient of the nonlinear Schr?dinger equation that governs the time evolution of probe pulse envelope. All analytical predicts are checked by numerical simulations.

Key words: ultraslow optical solitons, electromagnetically induced transparency

中图分类号:  (Optical solitons; nonlinear guided waves)

  • 42.65.Tg
42.50.Md (Optical transient phenomena: quantum beats, photon echo, free-induction decay, dephasings and revivals, optical nutation, and self-induced transparency) 42.65.Sf (Dynamics of nonlinear optical systems; optical instabilities, optical chaos and complexity, and optical spatio-temporal dynamics) 02.10.Yn (Matrix theory)