Qubit disentanglement in local squeezed reservoirs

We consider the influence of the local squeezed vacuum fields on two initially entangled two-qubit system. By considering the upper bound of entanglement under time evolution, we find that the decay of the quantum entanglement shows different behavior for different time scales (t>>max{(2βA)-1,(2βB)-1} and t<<min{(2βA)-1,(2βB)-1}). The relative phase of the squeezing environment can also affect the entanglement dynamics profoundly