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Generation and Controllability of High-Dimensional Rogue Waves in an Electromagnetically Induced Transparent Medium

Author

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  • Zhongyin Li

    (Institute of Mathematics and Physics and School of Arts and Sciences, Nanning College of Technology, Guilin 541006, China
    Department of Physics, Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004, China)

  • Ji Lin

    (Department of Physics, Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004, China)

  • Huijun Li

    (Department of Physics, Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004, China)

Abstract

We propose a scheme to generate and control high-dimensional rogue waves in a coherent three-level Λ -type atomic system via electromagnetically induced transparency (EIT). Under EIT conditions, the probe field envelopes obey the non-integrable nonlinear Schrödinger equations (NLSE) with or without the external potential, which result from the stark (Zeeman) effect contributed by an electric (magnetic) field. By adjusting the amplitude and width of the initial pulse, we can generate the high-dimensional rogue waves and obtain the phase-transition curves of high-dimensional rogue waves. In the system, the far-detuned electric field, the random weak magnetic field, and the Gauss weak magnetic field are not conducive to the excitation of high-dimensional rogue waves. The results not only provide a theoretical basis for the experimental realization or prevention of the high-dimensional rogue waves, but also prove the possibility of generating and controlling the rogue waves in other high-dimensional non-integrable systems.

Suggested Citation

  • Zhongyin Li & Ji Lin & Huijun Li, 2023. "Generation and Controllability of High-Dimensional Rogue Waves in an Electromagnetically Induced Transparent Medium," Mathematics, MDPI, vol. 11(8), pages 1-10, April.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:8:p:1829-:d:1121694
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    References listed on IDEAS

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    1. Lene Vestergaard Hau & S. E. Harris & Zachary Dutton & Cyrus H. Behroozi, 1999. "Light speed reduction to 17 metres per second in an ultracold atomic gas," Nature, Nature, vol. 397(6720), pages 594-598, February.
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