Cat states in one- and two-mode $\mathbb{Z}_3$ Rabi models
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arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866918138814136320 |
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| author | Lotkov, Anatoliy I. Kurlov, Denis V. Kozin, Valerii K. Klinovaja, Jelena Loss, Daniel |
| author_facet | Lotkov, Anatoliy I. Kurlov, Denis V. Kozin, Valerii K. Klinovaja, Jelena Loss, Daniel |
| contents | We investigate one- and two-mode variants of the $\mathbb{Z}_3$-symmetric quantum Rabi model, which describe the interaction of a qutrit with one or two bosonic modes and are directly relevant for circuit-QED and spin-qudit platforms. We find a canonical transformation that allows one to obtain the spectrum of the $\mathbb{Z}_3$ Rabi model using perturbation theory in a magnetic field. We show that in a certain parameter regime (deep-strong-coupling and a small magnetic field) the three lowest eigenstates become $\mathbb{Z}_3$ qutrit-boson cat states. In order to characterize these states we introduce a joint qutrit-boson Wigner function and derive its closed-form expression for the qutrit-boson cat states. Numerical calculations across a wide range of coupling strengths show that the proposed Wigner function is a useful tool that allows one to unambiguously identify the $\mathbb{Z}_{3}$ qutrit-boson cat states. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_08603 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Cat states in one- and two-mode $\mathbb{Z}_3$ Rabi models Lotkov, Anatoliy I. Kurlov, Denis V. Kozin, Valerii K. Klinovaja, Jelena Loss, Daniel Quantum Physics Mesoscale and Nanoscale Physics We investigate one- and two-mode variants of the $\mathbb{Z}_3$-symmetric quantum Rabi model, which describe the interaction of a qutrit with one or two bosonic modes and are directly relevant for circuit-QED and spin-qudit platforms. We find a canonical transformation that allows one to obtain the spectrum of the $\mathbb{Z}_3$ Rabi model using perturbation theory in a magnetic field. We show that in a certain parameter regime (deep-strong-coupling and a small magnetic field) the three lowest eigenstates become $\mathbb{Z}_3$ qutrit-boson cat states. In order to characterize these states we introduce a joint qutrit-boson Wigner function and derive its closed-form expression for the qutrit-boson cat states. Numerical calculations across a wide range of coupling strengths show that the proposed Wigner function is a useful tool that allows one to unambiguously identify the $\mathbb{Z}_{3}$ qutrit-boson cat states. |
| title | Cat states in one- and two-mode $\mathbb{Z}_3$ Rabi models |
| topic | Quantum Physics Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2509.08603 |