Exact Floquet solutions in a Parity-Time-Symmetric Rabi Model
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866916607973916672 |
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| author | Baradaran, M. Braak, D. Nieto, L. M. Zarrinkamar, S. |
| author_facet | Baradaran, M. Braak, D. Nieto, L. M. Zarrinkamar, S. |
| contents | It is shown that a semiclassical Rabi model with parity-time (PT) symmetry has a hidden $sl(2)$ symmetry and hence possesses quasi-exact solutions. These are located precisely at the exceptional points of the spectrum, the boundaries of the PT-symmetric phase. The corresponding constraints on the model parameters can be interpreted as a resonance relationship between the constant and periodic driving terms. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2501_19163 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Exact Floquet solutions in a Parity-Time-Symmetric Rabi Model Baradaran, M. Braak, D. Nieto, L. M. Zarrinkamar, S. Quantum Physics Mathematical Physics It is shown that a semiclassical Rabi model with parity-time (PT) symmetry has a hidden $sl(2)$ symmetry and hence possesses quasi-exact solutions. These are located precisely at the exceptional points of the spectrum, the boundaries of the PT-symmetric phase. The corresponding constraints on the model parameters can be interpreted as a resonance relationship between the constant and periodic driving terms. |
| title | Exact Floquet solutions in a Parity-Time-Symmetric Rabi Model |
| topic | Quantum Physics Mathematical Physics |
| url | https://arxiv.org/abs/2501.19163 |