Vortex modes supported by spin–orbit coupling in a laser with saturable absorption
We introduce a system of two component two-dimensional (2D) complex Ginzburg–Landau equations with spin–orbit-coupling (SOC) describing a wide-aperture microcavity laser with saturable gain and absorption. We report families of two-component self-trapped dissipative laser solitons in this system. Th...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
IOP Publishing
2018-01-01
|
| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/aaec4a |
| _version_ | 1797750544106782720 |
|---|---|
| author | Thawatchai Mayteevarunyoo Boris A Malomed Dmitry V Skryabin |
| author_facet | Thawatchai Mayteevarunyoo Boris A Malomed Dmitry V Skryabin |
| author_sort | Thawatchai Mayteevarunyoo |
| collection | DOAJ |
| description | We introduce a system of two component two-dimensional (2D) complex Ginzburg–Landau equations with spin–orbit-coupling (SOC) describing a wide-aperture microcavity laser with saturable gain and absorption. We report families of two-component self-trapped dissipative laser solitons in this system. The SOC terms are represented by the second-order differential operators, which sets the difference, $| {\rm{\Delta }}S| =2$ , between the vorticities of the two components. We have found stable solitons of two types: vortex–antivortex (VAV) and semi-vortex (SV) bound states, featuring vorticities $(-1,+1)$ and $(0,2)$ , respectively. In previous works, 2D localized states of these types were found only in models including a trapping potential, while we are dealing with the self-trapping effect in the latteraly unconfined (free-space) model. The SV states are stable in a narrow interval of values of the gain coefficients. The stability interval is broader for VAV states, and it may be expanded by making SOC stronger (although the system without SOC features a stability interval too). We have found three branches of stationary solutions of both VAV and SV types, two unstable and one stable. The latter one is an attractor, as the unstable states spontaneously transform into the stable one, while retaining vorticities of their components. Unlike previously known 2D localized states, maintained by the combination of the trapping potential and SOC, in the present system the VAV and SV complexes are stable in the absence of diffusion. In contrast with the bright solitons in conservative models, chemical potentials of the dissipative solitons reported here are positive. |
| first_indexed | 2024-03-12T16:35:16Z |
| format | Article |
| id | doaj.art-30a9e2a0f7074c48858bfeefd865d260 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:35:16Z |
| publishDate | 2018-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-30a9e2a0f7074c48858bfeefd865d2602023-08-08T14:55:28ZengIOP PublishingNew Journal of Physics1367-26302018-01-01201111301910.1088/1367-2630/aaec4aVortex modes supported by spin–orbit coupling in a laser with saturable absorptionThawatchai Mayteevarunyoo0https://orcid.org/0000-0002-9519-3874Boris A Malomed1https://orcid.org/0000-0001-5323-1847Dmitry V Skryabin2https://orcid.org/0000-0001-5038-2500Department of Electrical and Computer Engineering, Faculty of Engineering, Naresuan University , Phitsanulok 65000, ThailandDepartment of Physical Electronics, School of Electrical Engineering, Faculty of Engineering, and Center for Light-Matter Interaction, Tel Aviv University , Tel Aviv 69978, Israel; ITMO University , St. Petersburg 197101, RussiaDepartment of Physics, University of Bath , Bath, BA2 7AY, United KingdomWe introduce a system of two component two-dimensional (2D) complex Ginzburg–Landau equations with spin–orbit-coupling (SOC) describing a wide-aperture microcavity laser with saturable gain and absorption. We report families of two-component self-trapped dissipative laser solitons in this system. The SOC terms are represented by the second-order differential operators, which sets the difference, $| {\rm{\Delta }}S| =2$ , between the vorticities of the two components. We have found stable solitons of two types: vortex–antivortex (VAV) and semi-vortex (SV) bound states, featuring vorticities $(-1,+1)$ and $(0,2)$ , respectively. In previous works, 2D localized states of these types were found only in models including a trapping potential, while we are dealing with the self-trapping effect in the latteraly unconfined (free-space) model. The SV states are stable in a narrow interval of values of the gain coefficients. The stability interval is broader for VAV states, and it may be expanded by making SOC stronger (although the system without SOC features a stability interval too). We have found three branches of stationary solutions of both VAV and SV types, two unstable and one stable. The latter one is an attractor, as the unstable states spontaneously transform into the stable one, while retaining vorticities of their components. Unlike previously known 2D localized states, maintained by the combination of the trapping potential and SOC, in the present system the VAV and SV complexes are stable in the absence of diffusion. In contrast with the bright solitons in conservative models, chemical potentials of the dissipative solitons reported here are positive.https://doi.org/10.1088/1367-2630/aaec4adissipative solitonscomplex Ginzburg–Landau equationsself-trapping |
| spellingShingle | Thawatchai Mayteevarunyoo Boris A Malomed Dmitry V Skryabin Vortex modes supported by spin–orbit coupling in a laser with saturable absorption New Journal of Physics dissipative solitons complex Ginzburg–Landau equations self-trapping |
| title | Vortex modes supported by spin–orbit coupling in a laser with saturable absorption |
| title_full | Vortex modes supported by spin–orbit coupling in a laser with saturable absorption |
| title_fullStr | Vortex modes supported by spin–orbit coupling in a laser with saturable absorption |
| title_full_unstemmed | Vortex modes supported by spin–orbit coupling in a laser with saturable absorption |
| title_short | Vortex modes supported by spin–orbit coupling in a laser with saturable absorption |
| title_sort | vortex modes supported by spin orbit coupling in a laser with saturable absorption |
| topic | dissipative solitons complex Ginzburg–Landau equations self-trapping |
| url | https://doi.org/10.1088/1367-2630/aaec4a |
| work_keys_str_mv | AT thawatchaimayteevarunyoo vortexmodessupportedbyspinorbitcouplinginalaserwithsaturableabsorption AT borisamalomed vortexmodessupportedbyspinorbitcouplinginalaserwithsaturableabsorption AT dmitryvskryabin vortexmodessupportedbyspinorbitcouplinginalaserwithsaturableabsorption |