Emergence of volume-law scaling for entanglement negativity from the Hawking radiation of analogue black holes

TL;DR

This paper demonstrates that entanglement negativity in analogue black holes exhibits a volume-law scaling due to Hawking radiation, revealing insights into quantum correlations and potential experimental detection.

Contribution

First demonstration that Hawking radiation induces a UV-finite volume term in entanglement negativity, linking it to entangled Hawking pairs and black-hole thermodynamics.

Findings

Entanglement negativity acquires a volume term from Hawking radiation.

The volume term encodes the distribution of entangled pairs.

Potential for experimental detection in cold-atom setups.

Abstract

The quantum information content of Hawking radiation holds the key to understanding black-hole evaporation and the fate of unitarity. Motivated by recent advances in cold-atom experiments, we develop a lattice-regularization approach aimed at simulating the coarse-grained entanglement scaling of a quantum field in a 1+1D analogue black-hole background. We provide the first concrete demonstration that logarithmic negativity -- an entanglement monotone that typically exhibits a UV-divergent log-scaling for the conformal vacuum -- acquires a UV-finite volume term from the nonlocal correlations seeded by Hawking radiation. We show that this volume term encodes the number density as well as the spatial distribution of entangled Hawking pairs along the black-hole interior and exterior. We highlight its prospective detection in currently realizable experiments and its implications beyond the analogue paradigm, in particular for black-hole thermodynamics.