Active SU(2) operation on Poincaré sphere
Polarisation is described by an SU(2) state due to the coherence of photons emitted from a ubiquitous laser source. We propose a polarisation modulator, called as a Poincaré rotator, which enables dynamic control over a polarisation state by executing an arbitrary rotation on the Poincaré sphere. Th...
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| Format: | Article |
| Language: | English |
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Elsevier
2024-04-01
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| Series: | Results in Physics |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S221137972400250X |
| _version_ | 1797213402133692416 |
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| author | Shinichi Saito |
| author_facet | Shinichi Saito |
| author_sort | Shinichi Saito |
| collection | DOAJ |
| description | Polarisation is described by an SU(2) state due to the coherence of photons emitted from a ubiquitous laser source. We propose a polarisation modulator, called as a Poincaré rotator, which enables dynamic control over a polarisation state by executing an arbitrary rotation on the Poincaré sphere. The Poincaré rotator works as an arbitrary operator in the SU(2) Lie group, combining two U(1) operations to change the phase and the amplitude of the state, respectively. By modulating both the phase and amplitude, we have achieved distinguishable 4×4=16, 8×8=64, and 10×10=100 states on the Poincaré sphere. As a locus of the polarisation states on the sphere, we have successfully drawn the molecular structure of Buckminsterfullerene (C60) and the coastline of the Earth. |
| first_indexed | 2024-04-24T10:57:42Z |
| format | Article |
| id | doaj.art-ae4678cd2631462bb6b2b840ec2f9724 |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-04-24T10:57:42Z |
| publishDate | 2024-04-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-ae4678cd2631462bb6b2b840ec2f97242024-04-12T04:45:12ZengElsevierResults in Physics2211-37972024-04-0159107567Active SU(2) operation on Poincaré sphereShinichi Saito0Center for Exploratory Research Laboratory, Research & Development Group, Hitachi, Ltd., 1-280 Higashi-Koigakubo, Kokubunji, 185-8601, Tokyo, JapanPolarisation is described by an SU(2) state due to the coherence of photons emitted from a ubiquitous laser source. We propose a polarisation modulator, called as a Poincaré rotator, which enables dynamic control over a polarisation state by executing an arbitrary rotation on the Poincaré sphere. The Poincaré rotator works as an arbitrary operator in the SU(2) Lie group, combining two U(1) operations to change the phase and the amplitude of the state, respectively. By modulating both the phase and amplitude, we have achieved distinguishable 4×4=16, 8×8=64, and 10×10=100 states on the Poincaré sphere. As a locus of the polarisation states on the sphere, we have successfully drawn the molecular structure of Buckminsterfullerene (C60) and the coastline of the Earth.http://www.sciencedirect.com/science/article/pii/S221137972400250XCoherent stateLie algebraSpin angular momentumSU(2)PolarisationPoincaré sphere |
| spellingShingle | Shinichi Saito Active SU(2) operation on Poincaré sphere Results in Physics Coherent state Lie algebra Spin angular momentum SU(2) Polarisation Poincaré sphere |
| title | Active SU(2) operation on Poincaré sphere |
| title_full | Active SU(2) operation on Poincaré sphere |
| title_fullStr | Active SU(2) operation on Poincaré sphere |
| title_full_unstemmed | Active SU(2) operation on Poincaré sphere |
| title_short | Active SU(2) operation on Poincaré sphere |
| title_sort | active su 2 operation on poincare sphere |
| topic | Coherent state Lie algebra Spin angular momentum SU(2) Polarisation Poincaré sphere |
| url | http://www.sciencedirect.com/science/article/pii/S221137972400250X |
| work_keys_str_mv | AT shinichisaito activesu2operationonpoincaresphere |