Von Neumann entropy and on-site localization for perpetually coupled qubits

Abstract

We use the von Neumann entropy to study the single- and many-particle on-site localizations of stationary states for an anisotropic Heisenberg spin-$\frac{1}{2}$ chain. With a constructed bounded sequence of on-site energies for single- and many-particle systems we demonstrate that the von Neumann entropy approaches zero, indicating strong on-site localizations for all states. On the contrary, random on-site energy sequence does not lead to strong on-site confinement of all states. Our numerical results indicate that the von Neumann entropy provides insight to analyze on-site localizations for these systems.