Defining the semiclassical limit of the quantum Rabi Hamiltonian
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866914728479031296 |
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| author | Irish, E. K. Twyeffort Armour, A. D. |
| author_facet | Irish, E. K. Twyeffort Armour, A. D. |
| contents | The crossover from quantum to semiclassical behavior in the seminal Rabi model of light-matter interaction still, surprisingly, lacks a complete and rigorous understanding. A formalism for deriving the semiclassical model directly from the quantum Hamiltonian is developed here. Working in a displaced Fock-state basis $\lvert α, n \rangle$, the semiclassical limit is obtained by taking $\lvert α\rvert \to \infty$ and the coupling to zero. This resolves the discrepancy between coherent-state dynamics and semiclassical Rabi oscillations in both standard and ultrastrong coupling/driving regimes. Furthermore, it provides a framework for studying the quantum-to-classical transition, with potential applications in quantum technologies. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2203_17147 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Defining the semiclassical limit of the quantum Rabi Hamiltonian Irish, E. K. Twyeffort Armour, A. D. Quantum Physics The crossover from quantum to semiclassical behavior in the seminal Rabi model of light-matter interaction still, surprisingly, lacks a complete and rigorous understanding. A formalism for deriving the semiclassical model directly from the quantum Hamiltonian is developed here. Working in a displaced Fock-state basis $\lvert α, n \rangle$, the semiclassical limit is obtained by taking $\lvert α\rvert \to \infty$ and the coupling to zero. This resolves the discrepancy between coherent-state dynamics and semiclassical Rabi oscillations in both standard and ultrastrong coupling/driving regimes. Furthermore, it provides a framework for studying the quantum-to-classical transition, with potential applications in quantum technologies. |
| title | Defining the semiclassical limit of the quantum Rabi Hamiltonian |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2203.17147 |