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We analyse the dynamics of quantum correlations between two qubits coupled toa linear chain of oscillators. The chain mediates interactions between thequbits and acts as a non-Markovian reservoir. The the model is amenable to ananalytical solution when the initial state of the chain is Gaussian}. We studythe dynamics of the qubits concurrence starting from a separable state andassuming that the chain spectrum is gapped {and the chain is initially in athermal state. We identify three relevant regimes that depend on the strengthof the qubit-chain coupling in relation to the spectral gap. These are (i) theweak coupling regime, where the qubits are entangled at the asymptotics; (ii)the strong coupling regime, where the concurrence can exhibit collapsesfollowed by revivals with exponentially attenuated amplitude; and (iii) thethermal damping regime, where the concurrence rapidly vanishes due to thechain's thermal excitations. In all cases, if entanglement is generated, thisoccurs after a finite time has elapsed. This time scale depends exponentiallyon the qubits distance and is determined by the spectral properties of thechain. Entanglement irreversible decay, on the other hand, is due to thedissipative effect induced by the coupling with the chain and is controlled bythe coupling strength between the chain and qubits. This study unravels thebasic mechanisms leading to entanglement in a non-Markovian bath and allows toidentify the key resources for realising quantum coherent dynamics of opensystems.

Rise and fall of entanglement between two qubits in a non-Markovian bath