Non-classical Correlations in Multipartite Generalized Coherent States

We explore the pairwise quantum correlations contained in symmetric and antisymmetric multipartite generalized coherent states. We employ, respectively, the entanglement negativity and local quantum uncertainty (LQU) to quantify the degree of entanglement and to characterize the amount of quantum correlations exhibited by pure and mixed generalized coherent states. We give the analytical expressions of the two quantum correlations quantifiers and we compare the behaviors of these two reliable quantifiers in even and odd multipartite generalized coherent states by considering various partitions of the system under consideration. We show that the behaviors of the two quantum correlation quantifiers are largely dependent on the parameters characterizing multipartite generalized coherent states. The results show also that multipartite mixed generalized coherent states contain some quantum correlations that are captured only by the local quantum uncertainty.