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From coupled ℤ3 Rabi models to the ℤ3 Potts model

2026/04/15 by Anatoliy I. Lotkov, Valerii K. Kozin, Denis V. Kurlov +2 · 1 voice
Physics and Astronomy · #quant-ph #cond-mat.mes-hall

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Abstract

We study ℤ3-symmetric Rabi model that describes a three-level system coupled to two bosonic modes. We derive a mapping of the two-mode ℤ3 Rabi model onto a qubit-boson ring. This mapping allows us to formulate a realistic implementation of the ℤ3 Rabi model based on superconducting qubits. It also provides context for the previously proposed optomechanical implementation of the ℤ3 Rabi model. In addition, we propose a physical implementation of the ℤ3 Potts model via a coupled chain of ℤ3 Rabi models.

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