Abstract
Entanglement is one of the key features of the quantum mechanical systems that is fundamentally differen from a classical system, in consequence the dynamical behavior of entangled states is of a great significance. In this paper we investigate the phenomenon of sudden death of entanglement in a bipartite system subjected to squeezed vacuum reservoirs with an arbitrary initial pure entangled state between two fields in the cavities. To estimate the degree of entanglement we use the logarithmic negativity. We show that the sudden death time of the entangled states depends on the initial preparation of the entangled state, the phase shift between them and the parameters of the squeezed vacuum reservoir. We derive the conditions, which assure that The states remain entangled although the interaction with the reservoir. The sudden death time of the entangled states is related to the squeezed parameter of the reservoir and the phase shift between the initial entangled states.