Casimir-Lifshitz Theory for Cavity Modification of Ground-State Energy
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866914229266677760 |
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| author | Kotov, Oleg V. Feist, Johannes García-Vidal, Francisco J. Shegai, Timur O. |
| author_facet | Kotov, Oleg V. Feist, Johannes García-Vidal, Francisco J. Shegai, Timur O. |
| contents | A theory for ground-state modifications of matter embedded in a Fabry-Perot cavity and whose excitations are described as harmonic oscillators is presented. Based on Lifshitz's theory for vacuum energy and employing a Lorentz model for the material permittivity, a nonperturbative macroscopic QED model that accounts for the infinite number of cavity modes with a continuum of their wavevectors was built. Differences from the commonly used single-mode Hopfield Hamiltonian are revealed. The nonresonant role of polaritons in the ground-state energy shift is also demonstrated, showing that the cavity effect is mainly caused by static screening occurring at very low frequencies. The theory allows for a straightforward incorporation of losses and temperature effects. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_05156 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Casimir-Lifshitz Theory for Cavity Modification of Ground-State Energy Kotov, Oleg V. Feist, Johannes García-Vidal, Francisco J. Shegai, Timur O. Quantum Physics Mesoscale and Nanoscale Physics Optics A theory for ground-state modifications of matter embedded in a Fabry-Perot cavity and whose excitations are described as harmonic oscillators is presented. Based on Lifshitz's theory for vacuum energy and employing a Lorentz model for the material permittivity, a nonperturbative macroscopic QED model that accounts for the infinite number of cavity modes with a continuum of their wavevectors was built. Differences from the commonly used single-mode Hopfield Hamiltonian are revealed. The nonresonant role of polaritons in the ground-state energy shift is also demonstrated, showing that the cavity effect is mainly caused by static screening occurring at very low frequencies. The theory allows for a straightforward incorporation of losses and temperature effects. |
| title | Casimir-Lifshitz Theory for Cavity Modification of Ground-State Energy |
| topic | Quantum Physics Mesoscale and Nanoscale Physics Optics |
| url | https://arxiv.org/abs/2509.05156 |