Comments on Entanglement Propagation

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.

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

References in corpus (5)

• Relativistic viscous hydrodynamics, conformal invariance, and holography
• Conformal Nonlinear Fluid Dynamics from Gravity in Arbitrary Dimensions
• Equilibration rates in a strongly coupled nonconformal quark-gluon plasma
• On entanglement spreading from holography
• On Butterfly effect in Higher Derivative Gravities

Cited by in corpus (4)

• Time evolution of entanglement for holographic steady state formation
• Linear response of entanglement entropy from holography
• Thermalization after holographic bilocal quench
• Holographic Quenches in a Confined Phase