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 v 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.
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Rozali, M., Vincart-Emard, A. Comments on entanglement propagation. J. High Energ. Phys. 2017, 44 (2017). https://doi.org/10.1007/JHEP06(2017)044
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DOI: https://doi.org/10.1007/JHEP06(2017)044