Non-linear Faraday Precession of Light Polarization in Time-Reversal Invariant Materials
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866913599067258880 |
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| author | Pientka, Falko Villadiego, Inti Sodemann |
| author_facet | Pientka, Falko Villadiego, Inti Sodemann |
| contents | We investigate the propagation of electromagnetic waves through materials displaying a non-linear Hall effect. The coupled Maxwell-Boltzmann equations for traveling waves can be mapped onto ordinary differential equations that resemble those for the motion of a pendulum. In the weakly non-linear regime relevant for most experiments, we find that the polarization of light displays a Faraday-like precession of its polarization direction that swings back and forth around the direction of Berry dipole vector as the light beam traverses the material. This occurs concomitantly with an oscillation of its degree of polarization, with a characteristic frequency that increases linearly with the intensity of the traveling wave. These effects could be observed by measuring thickness dependent Faraday rotations as well as the emission of lower frequency radiation associated with the polarization oscillations in materials displaying the non-linear Hall effect. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_03656 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Non-linear Faraday Precession of Light Polarization in Time-Reversal Invariant Materials Pientka, Falko Villadiego, Inti Sodemann Mesoscale and Nanoscale Physics Optics We investigate the propagation of electromagnetic waves through materials displaying a non-linear Hall effect. The coupled Maxwell-Boltzmann equations for traveling waves can be mapped onto ordinary differential equations that resemble those for the motion of a pendulum. In the weakly non-linear regime relevant for most experiments, we find that the polarization of light displays a Faraday-like precession of its polarization direction that swings back and forth around the direction of Berry dipole vector as the light beam traverses the material. This occurs concomitantly with an oscillation of its degree of polarization, with a characteristic frequency that increases linearly with the intensity of the traveling wave. These effects could be observed by measuring thickness dependent Faraday rotations as well as the emission of lower frequency radiation associated with the polarization oscillations in materials displaying the non-linear Hall effect. |
| title | Non-linear Faraday Precession of Light Polarization in Time-Reversal Invariant Materials |
| topic | Mesoscale and Nanoscale Physics Optics |
| url | https://arxiv.org/abs/2412.03656 |