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PreprintCC0arXiv

Local Vacuum Entanglement through Most Entangled Modes

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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BibTeX
@misc{perche2026local,
  title = {{Local Vacuum Entanglement through Most Entangled Modes}},
  author = {T. Rick Perche and Patricia Ribes-Metidieri},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.28621},
  eprint = {2609.28621},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.28621},
  note = {CC0},
}
RIS
TY  - UNPB
TI  - Local Vacuum Entanglement through Most Entangled Modes
AU  - T. Rick Perche
AU  - Patricia Ribes-Metidieri
PY  - 2026
DA  - 2026/09/23
PB  - arXiv
DO  - 10.48550/arxiv.2609.28621
UR  - https://arxiv.org/abs/2609.28621
AB  - 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.
ER  -