Dynamical pairwise entanglement and two-point correlations in the three-ligand spin-star structure

TL;DR

This paper studies the dynamical generation of W states and two-point correlations in a three-ligand spin-star system with Heisenberg interactions, revealing specific entanglement patterns and correlation behaviors over time.

Contribution

It demonstrates the periodic creation of W states from a central qubit and analyzes the behavior of two-point correlations during this process in a spin-star structure.

Findings

W states are generated periodically from the central qubit state.

Equal concurrence among all qubits occurs during W state formation.

zz quantum correlations vanish when W states are generated.

Abstract

We consider the three-ligand spin-star structure through homogeneous Heisenberg interactions (XXX-3LSSS) in the framework of dynamical pairwise entanglement. It is shown that the time evolution of the central qubit "one-particle" state (COPS) results in the generation of quantum W states at periodical time instants. On the contrary, W states cannot be generated from the time evolution of a ligand "one-particle" state (LOPS). We also investigate the dynamical behavior of two-point quantum correlations as well as the expectation values of the different spin-components for each element in the XXX-3LSSS. It is found that when a W state is generated, the same value of concurrence among all qubits arises from xx and yy two-point quantum correlations. On the opposite, zz quantum correlation between any two qubits vanishes at these time instants.