Sudden death and rebirth of entanglement for different dimensional systems driven by a classical random external field

Abstract

The entangled behavior of different dimensional systems driven by a classical external random field (CERF) is investigated. The amount of the survival entanglement between the components of each system is quantified. There are different behaviors of entanglement that come into view: decay, sudden death, sudden birth and long-lived entanglement. The maximum entangled states which can be generated from any of theses suggested systems are much more fragile than the partially entangled ones. The systems of larger dimensions are more robust than those of smaller dimension systems, where the entanglement decays smoothly and gradually and may vanish for a very short time. For the class of dimensional system, the one-parameter family is found to be more robust than the two-parameter family. Although the entanglement of a driven dimensional system is very sensitive to the CERFs, one can use them to generate a long-lived entanglement.