Asymptotics for Anisotropic Rabi Models
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866908714145939456 |
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| author | Hirokawa, Masao Hiroshima, Fumio Lee, DongYun |
| author_facet | Hirokawa, Masao Hiroshima, Fumio Lee, DongYun |
| contents | A one-parameter family of self-adjoint operators interpolating between the quantum Rabi Hamiltonian and its rotating-wave approximation is studied. A mathematically rigorous treatment of such interpolations has been lacking. Motivated by the physical claim that counter-rotating terms dominate at strong coupling, we analyze the limit in which the coupling constant of the anisotropic Rabi model tends to infinity. Our results provide an operator-theoretic description of this limit and clarify the spectral evolution from the rotating-wave approximation to the full Rabi model. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_20201 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Asymptotics for Anisotropic Rabi Models Hirokawa, Masao Hiroshima, Fumio Lee, DongYun Mathematical Physics A one-parameter family of self-adjoint operators interpolating between the quantum Rabi Hamiltonian and its rotating-wave approximation is studied. A mathematically rigorous treatment of such interpolations has been lacking. Motivated by the physical claim that counter-rotating terms dominate at strong coupling, we analyze the limit in which the coupling constant of the anisotropic Rabi model tends to infinity. Our results provide an operator-theoretic description of this limit and clarify the spectral evolution from the rotating-wave approximation to the full Rabi model. |
| title | Asymptotics for Anisotropic Rabi Models |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2510.20201 |