Quantum entanglement in trimer spin-1/2 Heisenberg chains with antiferromagnetic coupling

TL;DR

This paper measures quantum entanglement in antiferromagnetic trimer spin-1/2 Heisenberg chains using a novel distance metric, applies it to specific copper-based systems, and links decoherence temperature to exchange coupling.

Contribution

First to determine quantum entanglement in antiferromagnetic trimer spin-1/2 Heisenberg chains using the Hilbert-Schmidt norm.

Findings

Entanglement measured for specific copper systems.

Decoherence temperature linked to exchange coupling.

Method applicable to other magnetic systems.

Abstract

The quantum entanglement measure is determined, for the first time, for antiferromagnetic trimer spin-1/2 Heisenberg chains. The physical quantity proposed to measure the entanglement is the distance between states by adopting the Hilbert-Schmidt norm. The method is applied to the new magnetic Cu(II) trimer system, 2b.3CuCl_2.2H_2O, and to the trinuclear Cu(II) halide salt, (3MAP)_2Cu_2Cl_8. The decoherence temperature, above which the entanglement is suppressed, is determined for the both systems. A correlation among their decoherence temperatures and their respective exchange coupling constants is established.