Persistent spin current and entanglement in the anisotropic spin ring i

TL;DR

This paper explores how persistent spin currents and quantum entanglement behave in an anisotropic Heisenberg spin ring under magnetic flux and external magnetic fields, using numerical solutions of Bethe ansatz equations.

Contribution

It provides a detailed numerical analysis of the ground state energy, persistent current, and entanglement properties in an anisotropic spin ring with flux and magnetic field effects.

Findings

Persistent spin current varies with magnetic flux.

Entanglement is influenced by flux and magnetic field.

Ground state energy depends on flux and anisotropy.

Abstract

We investigate the ground state persistent spin current and the pair entanglement in one-dimensional antiferromagnetic anisotropic Heisenberg ring with twisted boundary conditions. Solving Bethe ansatz equations numerically, we calculate the dependence of the ground state energy on the total magnetic flux through the ring, and the resulting persistent current. Motivated by recent development of quantum entanglement theory, we study the properties of the ground state concurrence under the influence of the flux through the anisotropic Heisenberg ring. We also include an external magnetic field and discuss the properties of the persistent current and the concurrence in the presence of the magnetic field.