• Corpus ID: 237532548

Adding boundary terms to Anderson localized Hamiltonians leads to unbounded growth of entanglement

@inproceedings{Huang2021AddingBT,
  title={Adding boundary terms to Anderson localized Hamiltonians leads to unbounded growth of entanglement},
  author={Yichen Huang},
  year={2021}
}
It is well known that in Anderson localized systems, starting from a random product state the entanglement entropy remains bounded at all times. However, we show that adding a single boundary term to an otherwise Anderson localized Hamiltonian leads to unbounded growth of entanglement. Our results imply that Anderson localization is not a local property. One cannot conclude that a subsystem has Anderson localized behavior without looking at the whole system, as a term that is arbitrarily far… 

Figures from this paper

Entanglement Dynamics From Random Product States: Deviation From Maximal Entanglement
  • Yichen Huang
  • Physics
  • 2021
We study the entanglement dynamics of quantum many-body systems and prove the following: (I) For any geometrically local Hamiltonian on a lattice, starting from a random product state the

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