Local Vacuum Entanglement through Most Entangled Modes
quant-ph, gr-qc, hep-th
Submitted: 2026-09-23
Updated: 2026-09-23
Comments: 5 pages, 4 figures + appendices
License: http://creativecommons.org/publicdomain/zero/1.0/
The gist: We find the shape of the modes containing most of the entanglement between two disjoint spherical regions in the vacuum of a free massless real scalar field in 1+3 Minkowski spacetime.
Terminology
Abstract
We find the shape of the modes containing most of the entanglement between two disjoint spherical regions in the vacuum of a free massless real scalar field in 1+3 Minkowski spacetime. Using the Klco-Beck-Savage method we approximate the field and momentum profile of the vacuum most entangled modes (MEMs) between two spheres. We define a non-perturbative mode-swap entanglement harvesting protocol where two spacelike separated probes extract the maximal amount of entanglement between two regions. Our results are a first step in the direction of understanding the local entanglement structure of quantum fields, pinpointing the exact degrees of freedom that encode accessible quantum correlations in QFT.
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