Nonlinear Optical Potential with Parity-Time Symmetry in a Coherent Atomic Gas
We propose a scheme to realize a parity-time (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="script">PT</mi></semantics></math></inline-formula>) symmetric non...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-05-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/14/6/1135 |
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| author | Delvi Antonio Polanco Adames Jianpeng Dou Ji Lin Gengjun Zhu Huijun Li |
| author_facet | Delvi Antonio Polanco Adames Jianpeng Dou Ji Lin Gengjun Zhu Huijun Li |
| author_sort | Delvi Antonio Polanco Adames |
| collection | DOAJ |
| description | We propose a scheme to realize a parity-time (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="script">PT</mi></semantics></math></inline-formula>) symmetric nonlinear system in a coherent atomic gas via electromagnetically induced transparency. We show that it is possible to construct an optical potential with <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="script">PT</mi></semantics></math></inline-formula> symmetry due to the interplay among the Kerr nonlinearity stemmed from the atom-photon interaction, the linear potential induced by a far-detuned Stark laser field, and the optical gain originated from an incoherent pumping. Since the real part of the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="script">PT</mi></semantics></math></inline-formula>-symmetric potential depends only on the intensity of the probe field, the potential is nonlinear and its <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="script">PT</mi></semantics></math></inline-formula>-symmetric properties are determined by the input laser intensity of the probe field. Moreover, we obtain the fundamental soliton solutions of the system and attain their stability region in the system parameter space. The dependence of the exceptional point (EP) location on the soliton maximum amplitude is also illustrated. The research results reported here open a new avenue for understanding the unique properties of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="script">PT</mi></semantics></math></inline-formula> symmetry of a nonlinear system. They are also promising for designing novel optical devices applicable in optical information processing and transmission. |
| first_indexed | 2024-03-09T22:22:59Z |
| format | Article |
| id | doaj.art-441fb16ae532438392e964a67cab8798 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-09T22:22:59Z |
| publishDate | 2022-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-441fb16ae532438392e964a67cab87982023-11-23T19:11:22ZengMDPI AGSymmetry2073-89942022-05-01146113510.3390/sym14061135Nonlinear Optical Potential with Parity-Time Symmetry in a Coherent Atomic GasDelvi Antonio Polanco Adames0Jianpeng Dou1Ji Lin2Gengjun Zhu3Huijun Li4College of Physics and Electronic Information Engineering, Zhejiang Normal University, Jinhua 321004, ChinaDepartment of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, ChinaCollege of Physics and Electronic Information Engineering, Zhejiang Normal University, Jinhua 321004, ChinaCollege of Physics and Electronic Information Engineering, Zhejiang Normal University, Jinhua 321004, ChinaCollege of Physics and Electronic Information Engineering, Zhejiang Normal University, Jinhua 321004, ChinaWe propose a scheme to realize a parity-time (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="script">PT</mi></semantics></math></inline-formula>) symmetric nonlinear system in a coherent atomic gas via electromagnetically induced transparency. We show that it is possible to construct an optical potential with <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="script">PT</mi></semantics></math></inline-formula> symmetry due to the interplay among the Kerr nonlinearity stemmed from the atom-photon interaction, the linear potential induced by a far-detuned Stark laser field, and the optical gain originated from an incoherent pumping. Since the real part of the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="script">PT</mi></semantics></math></inline-formula>-symmetric potential depends only on the intensity of the probe field, the potential is nonlinear and its <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="script">PT</mi></semantics></math></inline-formula>-symmetric properties are determined by the input laser intensity of the probe field. Moreover, we obtain the fundamental soliton solutions of the system and attain their stability region in the system parameter space. The dependence of the exceptional point (EP) location on the soliton maximum amplitude is also illustrated. The research results reported here open a new avenue for understanding the unique properties of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="script">PT</mi></semantics></math></inline-formula> symmetry of a nonlinear system. They are also promising for designing novel optical devices applicable in optical information processing and transmission.https://www.mdpi.com/2073-8994/14/6/1135parity-time symmetryelectromagnetically induced transparencysoliton |
| spellingShingle | Delvi Antonio Polanco Adames Jianpeng Dou Ji Lin Gengjun Zhu Huijun Li Nonlinear Optical Potential with Parity-Time Symmetry in a Coherent Atomic Gas Symmetry parity-time symmetry electromagnetically induced transparency soliton |
| title | Nonlinear Optical Potential with Parity-Time Symmetry in a Coherent Atomic Gas |
| title_full | Nonlinear Optical Potential with Parity-Time Symmetry in a Coherent Atomic Gas |
| title_fullStr | Nonlinear Optical Potential with Parity-Time Symmetry in a Coherent Atomic Gas |
| title_full_unstemmed | Nonlinear Optical Potential with Parity-Time Symmetry in a Coherent Atomic Gas |
| title_short | Nonlinear Optical Potential with Parity-Time Symmetry in a Coherent Atomic Gas |
| title_sort | nonlinear optical potential with parity time symmetry in a coherent atomic gas |
| topic | parity-time symmetry electromagnetically induced transparency soliton |
| url | https://www.mdpi.com/2073-8994/14/6/1135 |
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