Topological Polarisation States
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866929375614599168 |
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| author | Saito, Shinichi |
| author_facet | Saito, Shinichi |
| contents | Polarisation states are described by spin expectation values, known as Stokes parameters, whose trajectories in a rotationally symmetric system form a sphere named after Poincaré. Here, we show that the trajectories of broken rotational symmetric systems can exhibit distinct topological structures in polarisation states. We use a phase-shifter to form a polarisation circle (${\mathbb S}^1$), which interferes with the original input due to the phase change of the output state upon the rotation. By rotating the circle using a rotator, the trajectories become a polarisation torus (${\mathbb S}^1 \times {\mathbb S}^1$), which was experimentally confirmed in a simple set-up using passive optical components together with Mach-Zehnder interferometers. We also discuss about realisations of other topological features, such as Möbius strip, Hopf-links, and topological Dirac bosons with a bulk-edge correspondence. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_00014 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Topological Polarisation States Saito, Shinichi Optics Quantum Physics Polarisation states are described by spin expectation values, known as Stokes parameters, whose trajectories in a rotationally symmetric system form a sphere named after Poincaré. Here, we show that the trajectories of broken rotational symmetric systems can exhibit distinct topological structures in polarisation states. We use a phase-shifter to form a polarisation circle (${\mathbb S}^1$), which interferes with the original input due to the phase change of the output state upon the rotation. By rotating the circle using a rotator, the trajectories become a polarisation torus (${\mathbb S}^1 \times {\mathbb S}^1$), which was experimentally confirmed in a simple set-up using passive optical components together with Mach-Zehnder interferometers. We also discuss about realisations of other topological features, such as Möbius strip, Hopf-links, and topological Dirac bosons with a bulk-edge correspondence. |
| title | Topological Polarisation States |
| topic | Optics Quantum Physics |
| url | https://arxiv.org/abs/2304.00014 |