Tripartite entanglement in mixed-spin triangle trimmer

TL;DR

This paper investigates how to generate and control tripartite entanglement in a mixed spin-1/2,1/2,1 Heisenberg system, focusing on the effects of system parameters and external magnetic fields using tripartite negativity.

Contribution

It introduces a detailed analysis of tripartite entanglement in a mixed spin system considering non-uniform g-factors and exchange constants, highlighting control mechanisms.

Findings

Optimal parameters for entanglement creation identified

Tripartite negativity varies with magnetic field and system parameters

Non-conservation of magnetization affects entanglement dynamics

Abstract

Heisenberg model spin systems offer favourable and manageable physical settings for generating and manipulating entangled quantum states. In this work mixed spin-(1/2,1/2,1) Heisenberg spin trimmer with two different but isotropic Lande $g$-factors and two different exchange constants is considered. The study undertakes the task of finding the optimal parameters to create entangled states and control them by external magnetic field. The primary objective of this work is to examine the tripartite entanglement of a system and the dependence of the tripartite entanglement on various system parameters. Particularly, the effects of non-conserving magnetization are in the focus of our research. The source of non-commutativity between the magnetic moment operator and the Hamiltonian is non-uniformity of $g$-factors. To quantify the tripartite entanglement, an entanglement measure refered to as "tripartite negativity" has been used in this work.