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Quantum phase transitions for an integrable quantum Rabi-like model with two interacting qubits

R. GrimaudoA. S. Magalhães De CastroA. MessinaE. SolanoD. Valenti

subject

Quantum PhysicsSettore FIS/02 - Fisica Teorica Modelli E Metodi MatematiciGeneral Physics and AstronomyFOS: Physical sciencesquantum Rabi-like modelquantum phase transitionQuantum Physics (quant-ph)interacting Qubitspin-spin coupling

description

A two-interacting-qubit quantum Rabi-like model with vanishing transverse fields on the qubit pair is studied. Independently of the coupling regime, this model can be exactly and unitarily reduced to two independent single-spin quantum Rabi models, where the spin-spin coupling plays the role of the transverse field. This transformation and the analytical treatment of the single-spin quantum Rabi model provide the key to prove the integrability of our model. The existence of different first-order quantum phase transitions, characterized by discontinuous two-spin magnetization, mean photon number, and concurrence, is brought to light.

https://dx.doi.org/10.48550/arxiv.2211.07207