Crossovers in the non-Markovian dynamics of two-qubit entanglements

We study the entanglement dynamics of two non-interacting, spatially separated qubits subject to local environment noises. Based on exactly solvable models for non-Markovian amplitude damping and phase damping noises, we are able to analyze the entanglement dynamics of the two qubits for different coupling bandwidths and different detunings. We show that entanglement oscillations can occur for both amplitude and phase damping noises. Moreover, we demonstrate that changing the coupling bandwidth can lead to crossover between dissipative and non-dissipative entanglement dynamics, while varying the detuning controls the crossover between strong and weak coupling limits. Our findings can help provide a synthesized picture for the entanglement dynamics of two qubits subject to local environment noises.