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Hui-jun Li

Zhejiang Normal University. Dynamics of Coupled Ultraslow Optical Solitons in a Coherent Four State Double Lambda System. Hui-jun Li. Collaborator: Prof. Guoxiang Huang. Field of Study: Nonlinear Physics and Nonlinear Optics. Outline. 1. Introduction

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Hui-jun Li

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  1. Zhejiang Normal University Dynamics of Coupled Ultraslow Optical Solitons in a Coherent Four State Double Lambda System Hui-jun Li Collaborator: Prof. Guoxiang Huang Field of Study: Nonlinear Physics and Nonlinear Optics

  2. Outline • 1. Introduction • 2. Model and solution in linear regime • 3. Asymptotic expansion and nonlinear envelope equation • 4. Coupled optical solitons • 5. Summary

  3. 1. Introduction

  4. 1. Introduction EIT Why do the EIT being important？ Changing the dispersion relationship, the absorption and group velocity Enhanced the Kerr nonlinearity

  5. Why do we study the two-component optical solitons in EIT system? • 1. low light intensity • 2. two-component • 3. stable propagation of solitons

  6. 2．Model and solution in linear regime

  7. Model

  8. Linear solution If the probe fields are so weak that the ground state is not depleted, and we can take Under this approximation, we can get

  9. Linear propagation property If the incident probe fields are Guass function, we can get the probe fields

  10. 3. Asymptotic expansion and nonlinear envelope equation

  11. Asymptotic expansion Stable state： Asymptotic expansion：

  12. Asymptotic expansion In first order, we can get the linear dispersion relation and In second order, we can get

  13. Asymptotic expansion In third order, we can get

  14. Asymptotic expansion Combining every order, and returning to original variables, we obtain

  15. 4. Coupled optical solitons

  16. Single-mode optical soliton

  17. Single-mode optical soliton Evolution of probe field with input condition verse the delay time for different propagating distances

  18. Two-component solitons

  19. Two-component solitons Bright-bright solitons：

  20. Bright-dark solitons：

  21. Dark-dark solitons：

  22. Two-component solitons Evolution of probe field with input condition verse the delay time

  23. Summary • 1. obtain the coupled NLSE from original model • 2. the single-mode solitons • 3. the two-component solitons • 4. prove the stability of solitons by simulation

  24. Thank you！

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