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We study the entanglement dynamics of two non-interacting, spatiallyseparated qubits subject to local environment noises. Based on exactly solvablemodels for non-Markovian amplitude damping and phase damping noises, we areable to analyze the entanglement dynamics of the two qubits for differentcoupling bandwidths and different detunings. We show that entanglementoscillations can occur for both amplitude and phase damping noises. Moreover,we demonstrate that changing the coupling bandwidth can lead to crossoverbetween dissipative and non-dissipative entanglement dynamics, while varyingthe detuning controls the crossover between strong and weak coupling limits.Our findings can help provide a synthesized picture for the entanglementdynamics of two qubits subject to local environment noises.

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