Spin–orbit coupling and nonlinear modes of the polariton condensate in a harmonic trap
We consider a model of the exciton-polariton condensate based on a system of two Gross–Pitaevskii equations coupled by the second-order differential operator, which represents the spin–orbit coupling in the system. Also included are the linear gain, effective diffusion, nonlinear loss, and the stand...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2017-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/aa7fb0 |
| _version_ | 1797750556621537280 |
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| author | Hidetsugu Sakaguchi Boris A Malomed Dmitry V Skryabin |
| author_facet | Hidetsugu Sakaguchi Boris A Malomed Dmitry V Skryabin |
| author_sort | Hidetsugu Sakaguchi |
| collection | DOAJ |
| description | We consider a model of the exciton-polariton condensate based on a system of two Gross–Pitaevskii equations coupled by the second-order differential operator, which represents the spin–orbit coupling in the system. Also included are the linear gain, effective diffusion, nonlinear loss, and the standard harmonic-oscillator trapping potential, as well as the Zeeman splitting. By means of combined analytical and numerical methods, we identify stable two-dimensional modes supported by the nonlinear system. In the absence of the Zeeman splitting, these are mixed modes, which combine zero and nonzero vorticities in each of the two spinor components, and vortex–antivortex complexes. We have also found a range of parameters where the mixed-mode and vortex–antivortex states coexist and are stable. Sufficiently strong Zeeman splitting creates stable semi-vortex states, with vorticities 0 in one component and 2 in the other. |
| first_indexed | 2024-03-12T16:35:30Z |
| format | Article |
| id | doaj.art-671498c98f1b40c1afd215dccf6ce93a |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:35:30Z |
| publishDate | 2017-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-671498c98f1b40c1afd215dccf6ce93a2023-08-08T14:54:39ZengIOP PublishingNew Journal of Physics1367-26302017-01-0119808500310.1088/1367-2630/aa7fb0Spin–orbit coupling and nonlinear modes of the polariton condensate in a harmonic trapHidetsugu Sakaguchi0Boris A Malomed1https://orcid.org/0000-0001-5323-1847Dmitry V Skryabin2https://orcid.org/0000-0001-5038-2500Department of Applied Science for Electronics and Materials, Interdisciplinary Graduate School of Engineering Sciences, Kyushu University , Fukuoka, JapanDepartment of Physical Electronics, School of Electrical Engineering, Faculty of Engineering and the Center for Light-Matter Interaction, Tel Aviv University , Tel Aviv, Israel; Laboratory of Nonlinear-Optical Informatics, ITMO University , St. Petersburg 197101, RussiaDepartment of Physics, University of Bath , Bath, United Kingdom; Department of Nanophotonics and Metamaterials, ITMO University , St. Petersburg 197101, RussiaWe consider a model of the exciton-polariton condensate based on a system of two Gross–Pitaevskii equations coupled by the second-order differential operator, which represents the spin–orbit coupling in the system. Also included are the linear gain, effective diffusion, nonlinear loss, and the standard harmonic-oscillator trapping potential, as well as the Zeeman splitting. By means of combined analytical and numerical methods, we identify stable two-dimensional modes supported by the nonlinear system. In the absence of the Zeeman splitting, these are mixed modes, which combine zero and nonzero vorticities in each of the two spinor components, and vortex–antivortex complexes. We have also found a range of parameters where the mixed-mode and vortex–antivortex states coexist and are stable. Sufficiently strong Zeeman splitting creates stable semi-vortex states, with vorticities 0 in one component and 2 in the other.https://doi.org/10.1088/1367-2630/aa7fb0polaritonscondensatesvortices |
| spellingShingle | Hidetsugu Sakaguchi Boris A Malomed Dmitry V Skryabin Spin–orbit coupling and nonlinear modes of the polariton condensate in a harmonic trap New Journal of Physics polaritons condensates vortices |
| title | Spin–orbit coupling and nonlinear modes of the polariton condensate in a harmonic trap |
| title_full | Spin–orbit coupling and nonlinear modes of the polariton condensate in a harmonic trap |
| title_fullStr | Spin–orbit coupling and nonlinear modes of the polariton condensate in a harmonic trap |
| title_full_unstemmed | Spin–orbit coupling and nonlinear modes of the polariton condensate in a harmonic trap |
| title_short | Spin–orbit coupling and nonlinear modes of the polariton condensate in a harmonic trap |
| title_sort | spin orbit coupling and nonlinear modes of the polariton condensate in a harmonic trap |
| topic | polaritons condensates vortices |
| url | https://doi.org/10.1088/1367-2630/aa7fb0 |
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