# Control of entanglement transitions in quantum spin clusters

## TL;DR

This paper investigates how a transverse magnetic field induces an entanglement transition in a quantum spin cluster, with observable signatures in magnetization and neutron scattering, even at relatively high temperatures.

## Contribution

It provides a detailed analysis of entanglement transitions in a simple quantum spin model, highlighting detectable experimental signatures.

## Key findings

- Entanglement transition signatures are observable at temperatures up to 5% of interaction strength.
- Smaller clusters exhibit stronger signatures of the entanglement transition.
- Calculated neutron-scattering cross-sections reveal distinct features associated with the transition.

## Abstract

Clustered quantum materials provide a new platform for the experimental study of many-body entanglement. Here we address a simple model of a single-molecule nano-magnet featuring N interacting spins in a transverse field. The field can induce an entanglement transition (ET). We calculate the magnetisation, low-energy gap and neutron-scattering cross-section and find that the ET has distinct signatures, detectable at temperatures as high as 5% of the interaction strength. The signatures are stronger for smaller clusters.