Dynamical stability of entanglement between spin ensembles

Abstract

We study the dynamical stability of entanglement between two spin ensembles in the presence of decoherence. For a comparative study, we consider two cases: a single spin ensemble, and two ensembles linearly coupled to a bath, respectively. In both circumstances, we assume the validity of the Markovian approximation for the bath. We examine the robustness of the state by examining the growth of the linear entropy which gives a measure of the purity of the system. We find out macroscopic entangled states of two spin ensembles can stably exist in a common bath. This result may be very useful to generate and detect macroscopic entanglement in a common noisy environment and even a stable macroscopic quantum memory.