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

TL;DR

This paper investigates on-site localization in a spin chain using von Neumann entropy, showing that specific energy sequences induce strong localization, unlike random sequences, providing new insights into quantum state confinement.

Contribution

It introduces the use of von Neumann entropy to analyze on-site localization in spin chains and demonstrates its effectiveness with constructed energy sequences.

Findings

Bounded energy sequences lead to strong localization.

Random energy sequences do not induce strong localization.

Von Neumann entropy offers new insights into quantum localization.

Abstract

We used the von Neumann entropy to study the single and many-particle on-site localizations of stationary states for an anisotropic Heisenberg spin-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 a new insight to analyze on-site localizations for these systems.