Thermal entanglement in $2\otimes3$ Heisenberg chains via distance between states

TL;DR

This paper introduces an analytical method to measure thermal entanglement in a $2 ext{×}3$ Heisenberg chain using the Hilbert-Schmidt norm, extending entanglement analysis beyond two-qubit systems.

Contribution

It presents the first analytical approach to calculate thermal entanglement in a $2 ext{×}3$ Heisenberg chain via state distance, applicable to mixed spin systems.

Findings

Analytical formula for thermal entanglement in $2 ext{×}3$ chains.

Applicable to ferrimagnetic and dimer-trimer compounds.

Extends entanglement analysis beyond two-qubit systems.

Abstract

Most of the work involving entanglement measurement focuses on systems that can be modeled by two interacting qubits. This is due to the fact that there are few studies presenting entanglement analytical calculations in systems with spins $s > 1/2$. In this paper we present for the first time an analytical way of calculating thermal entanglement in a dimension $2\otimes3$ Heisenberg chain through the distance between states. We use the Hilbert-Schmidt norm to obtain entanglement. The result obtained can be used to calculate entanglement in chains with spin-$1/2$ coupling with spin-$1$, such as ferrimagnetic compounds as well as compounds with dimer-trimer coupling.