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

Abstract

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.

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• Critical quantum metrology in a stabilized two-photon Rabi model
• Quantum Fisher information and polaron picture for identification of transition coupling in quantum Rabi model
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• Thermodynamic Limit in the Two-qubit Quantum Rabi Model with Spin-Spin Coupling
• Combining Squeezing and Transition Sensitivity Resources for Quantum Metrology by Asymmetric Non-Linear Rabi model
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• Tripartite quantum Rabi model with trapped Rydberg ions
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