Entanglement Sharing and Decoherence in the Spin-Bath

Abstract

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 amongst 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 phenomena 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.

5 pages, 1 figure v2: 6 pages 2 figures, additional example and references

References in corpus (2)

• Monogamy of entanglement and other correlations
• Two qubits entanglement dynamics in a symmetry-broken environment

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