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For an electron spin in coupling with an interacting spin chain viahyperfine-type interaction, we investigate the dynamical evolutions of thepairwise entanglement of the spin chain and a correlation function joined theelectron spin with a pair of chain spins in correspondence to the electron spincoherence evolution. Both quantities manifest a periodic and a decayingevolution. The entanglement of the spin bath is significant in distinguishingthe zero-coherence status exhibited in periodic and decoherence evolutions ofthe electron spin. The periodical concurrence evolution of the spin bathcharacterizes the whole system in a coherence-preserving phase, particularlyfor the case that the associated periodic coherence evolution is predominatedby zero-value in the infinite chain-length limit, which was often regarded asthe realization of decoherence.

Entanglement evolution of a spin chain bath in driving the decoherence of a coupled quantum spin