One- and two-dimensional solitons in -symmetric systems emulating spin–orbit coupling
We introduce a two-dimensional (2D) system which can be implemented in dual-core planar optical couplers with the Kerr nonlinearity in its cores, making it possible to blend the effects of ${ \mathcal P }{ \mathcal T }$ symmetry, represented by the balanced linear gain and loss in the two cores, and...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2016-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/18/10/105005 |
| _version_ | 1827873593191563264 |
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| author | Hidetsugu Sakaguchi Boris A Malomed |
| author_facet | Hidetsugu Sakaguchi Boris A Malomed |
| author_sort | Hidetsugu Sakaguchi |
| collection | DOAJ |
| description | We introduce a two-dimensional (2D) system which can be implemented in dual-core planar optical couplers with the Kerr nonlinearity in its cores, making it possible to blend the effects of ${ \mathcal P }{ \mathcal T }$ symmetry, represented by the balanced linear gain and loss in the two cores, and spin–orbit coupling (SOC), emulated by a spatially biased coupling between the cores. Families of 1D and 2D solitons and their stability boundaries are identified. In the 1D setting, the addition to the SOC terms leads, at first, to shrinkage of the stability area for ${ \mathcal P }{ \mathcal T }$ -symmetric solitons, which is followed by its rapid expansion. 2D solitons have their stability region too, in spite of the simultaneous action of two major destabilizing factors, viz ., the collapse driven by the Kerr nonlinearity, and a trend towards the spontaneous breakup of the gain–loss balance. In the limit of the SOC terms dominating over the intrinsic diffraction, the 1D system gives rise to a new model for gap solitons, which admits exact analytical solutions. |
| first_indexed | 2024-03-12T16:40:20Z |
| format | Article |
| id | doaj.art-3d23a23a49534aba82d2b129c2862f65 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:40:20Z |
| publishDate | 2016-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-3d23a23a49534aba82d2b129c2862f652023-08-08T14:33:50ZengIOP PublishingNew Journal of Physics1367-26302016-01-01181010500510.1088/1367-2630/18/10/105005One- and two-dimensional solitons in -symmetric systems emulating spin–orbit couplingHidetsugu Sakaguchi0Boris A Malomed1https://orcid.org/0000-0001-5323-1847Department of Applied Science for Electronics and Materials, Interdisciplinary Graduate School of Engineering Sciences, Kyushu University , Kasuga, Fukuoka 816-8580, JapanDepartment of Physical Electronics , School of Electrical Engineering, Faculty of Engineering, Tel Aviv University, Tel Aviv 69978, Israel; Laboratory of Nonlinear-Optical Informatics, ITMO University , St. Petersburg 197101, RussiaWe introduce a two-dimensional (2D) system which can be implemented in dual-core planar optical couplers with the Kerr nonlinearity in its cores, making it possible to blend the effects of ${ \mathcal P }{ \mathcal T }$ symmetry, represented by the balanced linear gain and loss in the two cores, and spin–orbit coupling (SOC), emulated by a spatially biased coupling between the cores. Families of 1D and 2D solitons and their stability boundaries are identified. In the 1D setting, the addition to the SOC terms leads, at first, to shrinkage of the stability area for ${ \mathcal P }{ \mathcal T }$ -symmetric solitons, which is followed by its rapid expansion. 2D solitons have their stability region too, in spite of the simultaneous action of two major destabilizing factors, viz ., the collapse driven by the Kerr nonlinearity, and a trend towards the spontaneous breakup of the gain–loss balance. In the limit of the SOC terms dominating over the intrinsic diffraction, the 1D system gives rise to a new model for gap solitons, which admits exact analytical solutions.https://doi.org/10.1088/1367-2630/18/10/105005optical couplerKerr nonlinearitygain and losscollapsesymmetry breakingsoliton stability |
| spellingShingle | Hidetsugu Sakaguchi Boris A Malomed One- and two-dimensional solitons in -symmetric systems emulating spin–orbit coupling New Journal of Physics optical coupler Kerr nonlinearity gain and loss collapse symmetry breaking soliton stability |
| title | One- and two-dimensional solitons in -symmetric systems emulating spin–orbit coupling |
| title_full | One- and two-dimensional solitons in -symmetric systems emulating spin–orbit coupling |
| title_fullStr | One- and two-dimensional solitons in -symmetric systems emulating spin–orbit coupling |
| title_full_unstemmed | One- and two-dimensional solitons in -symmetric systems emulating spin–orbit coupling |
| title_short | One- and two-dimensional solitons in -symmetric systems emulating spin–orbit coupling |
| title_sort | one and two dimensional solitons in symmetric systems emulating spin orbit coupling |
| topic | optical coupler Kerr nonlinearity gain and loss collapse symmetry breaking soliton stability |
| url | https://doi.org/10.1088/1367-2630/18/10/105005 |
| work_keys_str_mv | AT hidetsugusakaguchi oneandtwodimensionalsolitonsinsymmetricsystemsemulatingspinorbitcoupling AT borisamalomed oneandtwodimensionalsolitonsinsymmetricsystemsemulatingspinorbitcoupling |