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We investigate both dynamical and thermodynamic properties of an opentwo-qubit Rabi model by means of numerical state-of-the-art approaches. Througha quench on the qubits-oscillator coupling, the global system, including thebath degrees of freedom, runs into a dynamical quantum phase transitionsignalled by the Loschmidt echo's rate function whose kinks take place at thesame parameters where thermodynamic transition sets in. Notably, the onset ofthis transition arises not only from the bimodal character of the magnetizationdistribution, but also from signatures in the two qubits' entanglement. Thesefindings shed light on the complex behavior of the dynamics of quantum phasetransitions.

Environment induced dynamical quantum phase transition in two-qubit Rabi model