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From coupled Z3 Rabi models to the Z3 Potts model

Anatoliy I. Lotkov1,*, Valerii K. Kozin1, Denis V. Kurlov1, Jelena Klinovaja1, and Daniel Loss1,2,3,4

  • *Contact author: anatolii.lotkov@unibas.ch
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Phys. Rev. Research 8, 043046 – Published 14 October, 2026

DOI: https://doi.org/10.1103/ybt7-yh9v

Abstract

We study a 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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  85. To not overcomplicate the notation, here we denote Sz(t)=eiHQB,distSz(k=0)e−iHQB,dist.

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Phys. Rev. Research 8, 043046– Published 14 October, 2026
  • Received 17 April 2026
  • Accepted 31 August 2026
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