Bounding entanglement spreading after a local quench

@article{Drumond2017BoundingES,
  title={Bounding entanglement spreading after a local quench},
  author={Raphael Campos Drumond and Nat{\'a}lia Salom{\'e} M{\'o}ller},
  journal={Physical Review A},
  year={2017},
  volume={95},
  pages={062301}
}
We consider the variation of von Neumann entropy of subsystem reduced states of general many- body lattice spin systems due to local quantum quenches. We obtain Lieb-Robinson-like bounds that are independent of the subsystem volume. The main assumptions are that the Hamiltonian satisfies a Lieb-Robinson bound and that the volume of spheres on the lattice grows at most exponentially with their radius. More specifically, the bound exponentially increases with time but exponentially decreases with… 

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