From coupled $\mathbb{Z}_3$ Rabi models to the $\mathbb{Z}_3$ Potts model
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866913035615993856 |
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| author | Lotkov, Anatoliy I. Kozin, Valerii K. Kurlov, Denis V. Klinovaja, Jelena Loss, Daniel |
| author_facet | Lotkov, Anatoliy I. Kozin, Valerii K. Kurlov, Denis V. Klinovaja, Jelena Loss, Daniel |
| contents | We study $\mathbb{Z}_3$-symmetric Rabi model that describes a three-level system coupled to two bosonic modes. We derive a mapping of the two-mode $\mathbb{Z}_3$ Rabi model onto a qubit-boson ring. This mapping allows us to formulate a realistic implementation of the $\mathbb{Z}_3$ Rabi model based on superconducting qubits. It also provides context for the previously proposed optomechanical implementation of the $\mathbb{Z}_3$ Rabi model. In addition, we propose a physical implementation of the $\mathbb{Z}_3$ Potts model via a coupled chain of $\mathbb{Z}_3$ Rabi models. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_14052 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | From coupled $\mathbb{Z}_3$ Rabi models to the $\mathbb{Z}_3$ Potts model Lotkov, Anatoliy I. Kozin, Valerii K. Kurlov, Denis V. Klinovaja, Jelena Loss, Daniel Quantum Physics Mesoscale and Nanoscale Physics We study $\mathbb{Z}_3$-symmetric Rabi model that describes a three-level system coupled to two bosonic modes. We derive a mapping of the two-mode $\mathbb{Z}_3$ Rabi model onto a qubit-boson ring. This mapping allows us to formulate a realistic implementation of the $\mathbb{Z}_3$ Rabi model based on superconducting qubits. It also provides context for the previously proposed optomechanical implementation of the $\mathbb{Z}_3$ Rabi model. In addition, we propose a physical implementation of the $\mathbb{Z}_3$ Potts model via a coupled chain of $\mathbb{Z}_3$ Rabi models. |
| title | From coupled $\mathbb{Z}_3$ Rabi models to the $\mathbb{Z}_3$ Potts model |
| topic | Quantum Physics Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2604.14052 |