Generation and Controllability of High-Dimensional Rogue Waves in an Electromagnetically Induced Transparent Medium
We propose a scheme to generate and control high-dimensional rogue waves in a coherent three-level <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="sans-serif">Λ</mi></semantic...
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MDPI AG
2023-04-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/11/8/1829 |
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| author | Zhongyin Li Ji Lin Huijun Li |
| author_facet | Zhongyin Li Ji Lin Huijun Li |
| author_sort | Zhongyin Li |
| collection | DOAJ |
| description | We propose a scheme to generate and control high-dimensional rogue waves in a coherent three-level <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="sans-serif">Λ</mi></semantics></math></inline-formula>-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. |
| first_indexed | 2024-03-11T04:46:34Z |
| format | Article |
| id | doaj.art-20432342dfb84d6ea84fabe432f878a8 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-11T04:46:34Z |
| publishDate | 2023-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-20432342dfb84d6ea84fabe432f878a82023-11-17T20:17:08ZengMDPI AGMathematics2227-73902023-04-01118182910.3390/math11081829Generation and Controllability of High-Dimensional Rogue Waves in an Electromagnetically Induced Transparent MediumZhongyin Li0Ji Lin1Huijun Li2Institute of Mathematics and Physics and School of Arts and Sciences, Nanning College of Technology, Guilin 541006, ChinaDepartment of Physics, Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004, ChinaDepartment of Physics, Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004, ChinaWe propose a scheme to generate and control high-dimensional rogue waves in a coherent three-level <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="sans-serif">Λ</mi></semantics></math></inline-formula>-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.https://www.mdpi.com/2227-7390/11/8/1829rogue waveselectromagnetically induced transparentnon-integrable systems |
| spellingShingle | Zhongyin Li Ji Lin Huijun Li Generation and Controllability of High-Dimensional Rogue Waves in an Electromagnetically Induced Transparent Medium Mathematics rogue waves electromagnetically induced transparent non-integrable systems |
| title | Generation and Controllability of High-Dimensional Rogue Waves in an Electromagnetically Induced Transparent Medium |
| title_full | Generation and Controllability of High-Dimensional Rogue Waves in an Electromagnetically Induced Transparent Medium |
| title_fullStr | Generation and Controllability of High-Dimensional Rogue Waves in an Electromagnetically Induced Transparent Medium |
| title_full_unstemmed | Generation and Controllability of High-Dimensional Rogue Waves in an Electromagnetically Induced Transparent Medium |
| title_short | Generation and Controllability of High-Dimensional Rogue Waves in an Electromagnetically Induced Transparent Medium |
| title_sort | generation and controllability of high dimensional rogue waves in an electromagnetically induced transparent medium |
| topic | rogue waves electromagnetically induced transparent non-integrable systems |
| url | https://www.mdpi.com/2227-7390/11/8/1829 |
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