Time dependence of entanglement entropy on the fuzzy sphere
Abstract
We numerically study the behaviour of entanglement entropy for a free scalar field on the noncommutative ("fuzzy") sphere after a mass quench. It is known that the entanglement entropy before a quench violates the usual area law due to the non-local nature of the theory. By comparing our results to the ordinary sphere, we find results that, despite this non-locality, are compatible with entanglement being spread by ballistic propagation of entangled quasi-particles at a speed no greater than the speed of light. However, we also find that, when the pre-quench mass is much larger than the inverse of the short-distance cutoff of the fuzzy sphere (a regime with no commutative analogue), the entanglement entropy spreads faster than allowed by a local model.
Keywords
Cite
@article{arxiv.1705.01969,
title = {Time dependence of entanglement entropy on the fuzzy sphere},
author = {Philippe Sabella-Garnier},
journal= {arXiv preprint arXiv:1705.01969},
year = {2017}
}
Comments
1+14 pages, 8 figures v2: References added, matches published version