Entanglement Halos

TL;DR

This paper introduces the concept of entanglement halos, complex entanglement structures in quantum many-body systems influenced by geometry and connectivity, with potential experimental implications.

Contribution

It defines entanglement halos in star-like systems and demonstrates their emergence using free-fermions and Heisenberg models, revealing topological features.

Findings

Entanglement halos occur in systems with exponential couplings.

They can exhibit trivial and non-trivial topological properties.

The structures are experimentally accessible with current technology.

Abstract

We introduce the concept of entanglement halos, a set of strongly entangled distant sites within the ground state of a quantum many-body system. Such halos emerge in star-like systems with exponentially decaying couplings, as we show using both free-fermions and the spin-1/2 antiferromagnetic Heisenberg model. Depending on the central connectivity, entanglement halos may exhibit trivial and non trivial symmetry-protected topological features. Our findings highlight how geometry and connectivity can generate complex entanglement structures with rich physical content, which can be experimentally accessible via state-of-the-art technologies.