Shortcuts to Adiabaticity for Optical Beam Propagation in Nonlinear Gradient Refractive-Index Media
In recent years, the concept of “shortcuts to adiabaticity" has been originally proposed to speed up sufficiently slow adiabatic process in various quantum systems without final excitation. Based on the analogy between classical optics and quantum mechanics, we present a study on fast non-adiab...
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| Format: | Article |
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MDPI AG
2020-06-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/22/6/673 |
| _version_ | 1797565087667453952 |
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| author | Qian Kong Huimin Ying Xi Chen |
| author_facet | Qian Kong Huimin Ying Xi Chen |
| author_sort | Qian Kong |
| collection | DOAJ |
| description | In recent years, the concept of “shortcuts to adiabaticity" has been originally proposed to speed up sufficiently slow adiabatic process in various quantum systems without final excitation. Based on the analogy between classical optics and quantum mechanics, we present a study on fast non-adiabatic compression of optical beam propagation in nonlinear gradient refractive-index media by using shortcuts to adiabaticity. We first apply the variational approximation method in nonlinear optics to derive the auxiliary equation for connecting the beam width with the refractive index of the medium. Then, the gradient refractive index is inversely designed through the perfect compression of beam width with the appropriate boundary conditions. Finally, the comparison with conventional adiabatic compression is made, showing the advantage of our shortcuts. |
| first_indexed | 2024-03-10T19:07:00Z |
| format | Article |
| id | doaj.art-5188508f4c3840cf82b50c9763549c6a |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-10T19:07:00Z |
| publishDate | 2020-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-5188508f4c3840cf82b50c9763549c6a2023-11-20T04:04:31ZengMDPI AGEntropy1099-43002020-06-0122667310.3390/e22060673Shortcuts to Adiabaticity for Optical Beam Propagation in Nonlinear Gradient Refractive-Index MediaQian Kong0Huimin Ying1Xi Chen2International Center of Quantum Artificial Intelligence for Science and Technology (QuArtist) and Department of Physics, Shanghai University, Shanghai 200444, ChinaInternational Center of Quantum Artificial Intelligence for Science and Technology (QuArtist) and Department of Physics, Shanghai University, Shanghai 200444, ChinaInternational Center of Quantum Artificial Intelligence for Science and Technology (QuArtist) and Department of Physics, Shanghai University, Shanghai 200444, ChinaIn recent years, the concept of “shortcuts to adiabaticity" has been originally proposed to speed up sufficiently slow adiabatic process in various quantum systems without final excitation. Based on the analogy between classical optics and quantum mechanics, we present a study on fast non-adiabatic compression of optical beam propagation in nonlinear gradient refractive-index media by using shortcuts to adiabaticity. We first apply the variational approximation method in nonlinear optics to derive the auxiliary equation for connecting the beam width with the refractive index of the medium. Then, the gradient refractive index is inversely designed through the perfect compression of beam width with the appropriate boundary conditions. Finally, the comparison with conventional adiabatic compression is made, showing the advantage of our shortcuts.https://www.mdpi.com/1099-4300/22/6/673shortcuts to adiabaticitynon-adiabatic compressionnonlinear beam propagation |
| spellingShingle | Qian Kong Huimin Ying Xi Chen Shortcuts to Adiabaticity for Optical Beam Propagation in Nonlinear Gradient Refractive-Index Media Entropy shortcuts to adiabaticity non-adiabatic compression nonlinear beam propagation |
| title | Shortcuts to Adiabaticity for Optical Beam Propagation in Nonlinear Gradient Refractive-Index Media |
| title_full | Shortcuts to Adiabaticity for Optical Beam Propagation in Nonlinear Gradient Refractive-Index Media |
| title_fullStr | Shortcuts to Adiabaticity for Optical Beam Propagation in Nonlinear Gradient Refractive-Index Media |
| title_full_unstemmed | Shortcuts to Adiabaticity for Optical Beam Propagation in Nonlinear Gradient Refractive-Index Media |
| title_short | Shortcuts to Adiabaticity for Optical Beam Propagation in Nonlinear Gradient Refractive-Index Media |
| title_sort | shortcuts to adiabaticity for optical beam propagation in nonlinear gradient refractive index media |
| topic | shortcuts to adiabaticity non-adiabatic compression nonlinear beam propagation |
| url | https://www.mdpi.com/1099-4300/22/6/673 |
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