English

Comments on Entanglement Propagation

High Energy Physics - Theory 2017-06-14 v3 Strongly Correlated Electrons Quantum Physics

Abstract

We extend our work on entanglement propagation following a local quench in 2+1 dimensional holographic conformal field theories. We find that entanglement propagates along an emergent lightcone, whose speed of propagation vEv_E seems distinct from other measures of quantum information spreading. We compare the relations we find to information and hydrodynamic velocities in strongly coupled 2+1 dimensional theories. While early-time entanglement velocities corresponding to small entangling regions are numerically close to the butterfly velocity, late-time entanglement velocities for large regions show less regularity. We also generalize and extend our previous results regarding the late-time decay of the entanglement entropy back to its equilibrium value.

Keywords

Cite

@article{arxiv.1702.05869,
  title  = {Comments on Entanglement Propagation},
  author = {Moshe Rozali and Alexandre Vincart-Emard},
  journal= {arXiv preprint arXiv:1702.05869},
  year   = {2017}
}

Comments

20 pages, 5 figures, v2: references added, extended argument in Sec. 3.1, v3: references added, published version

R2 v1 2026-06-22T18:22:40.918Z