Polaritonic Bloch's Theorem beyond the Long-Wavelength Approximation
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915725322485760 |
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| author | Bruno, Giovanna Riso, Rosario Roberto Koch, Henrik Ronca, Enrico |
| author_facet | Bruno, Giovanna Riso, Rosario Roberto Koch, Henrik Ronca, Enrico |
| contents | Cavity quantum electrodynamics provides a powerful tool to manipulate material properties, yet it remains a matter of debate whether and how quantized fields affect the periodicity of crystals. Here, we extend Bloch's theorem to crystals under strong light-matter coupling, revealing that polariton quasiparticles preserve lattice periodicity. We introduce a general framework to incorporate multimode cavity fields in a simple and tractable way, showing that additional modes contribute small energy corrections noticeable only at low frequencies. Within the single-photon approximation, these contributions reduce to a spatially uniform effective field in the crystal plane, providing a formal justification for the single-mode and long-wavelength approximations commonly used in molecular polaritonics. Together, these results establish a rigorous framework for describing polaritonic states in crystalline solids. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_15623 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Polaritonic Bloch's Theorem beyond the Long-Wavelength Approximation Bruno, Giovanna Riso, Rosario Roberto Koch, Henrik Ronca, Enrico Materials Science Chemical Physics Cavity quantum electrodynamics provides a powerful tool to manipulate material properties, yet it remains a matter of debate whether and how quantized fields affect the periodicity of crystals. Here, we extend Bloch's theorem to crystals under strong light-matter coupling, revealing that polariton quasiparticles preserve lattice periodicity. We introduce a general framework to incorporate multimode cavity fields in a simple and tractable way, showing that additional modes contribute small energy corrections noticeable only at low frequencies. Within the single-photon approximation, these contributions reduce to a spatially uniform effective field in the crystal plane, providing a formal justification for the single-mode and long-wavelength approximations commonly used in molecular polaritonics. Together, these results establish a rigorous framework for describing polaritonic states in crystalline solids. |
| title | Polaritonic Bloch's Theorem beyond the Long-Wavelength Approximation |
| topic | Materials Science Chemical Physics |
| url | https://arxiv.org/abs/2512.15623 |