On entanglement spreading in chaotic systems
Abstract
We discuss the time dependence of subsystem entropies in interacting quantum systems. As a model for the time dependence, we suggest that the entropy is as large as possible given two constraints: one follows from the existence of an emergent light cone, and the other is a conjecture associated to the "entanglement velocity" . We compare this model to new holographic and spin chain computations, and to an operator growth picture. Finally, we introduce a second way of computing the emergent light cone speed in holographic theories that provides a boundary dynamics explanation for a special case of entanglement wedge subregion duality in AdS/CFT.
Cite
@article{arxiv.1608.05101,
title = {On entanglement spreading in chaotic systems},
author = {Márk Mezei and Douglas Stanford},
journal= {arXiv preprint arXiv:1608.05101},
year = {2021}
}
Comments
v3: error corrected in section 5; v2: small adjustments in the presentation, typos fixed, references added; v1: 25 pages, 10 figures