Entanglement sharing and decoherence in the spin-bath
Christopher M. Dawson, Andrew P. Hines, Ross H. McKenzie, Gerard J Milburn · Physical Review A · 2005
The monogamous nature of entanglement has been illustrated by the derivation of entanglement-sharing inequalities---bounds on the amount of entanglement that can be shared among the various parts of a multipartite system. Motivated by recent studies of decoherence, we demonstrate an interesting manifestation of this phenomena that arises in system-environment models where there exists interactions between the modes or subsystems of the environment. We investigate this phenomenon in the spin-bath environment, constructing an entanglement-sharing inequality bounding the entanglement between a central spin and the environment in terms of the pairwise entanglement between individual bath spins. The relation of this result to decoherence will be illustrated using simplified system-bath models of decoherence.