# 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…

## One Citation

Entanglement Dynamics From Random Product States: Deviation From Maximal Entanglement

- 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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