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arXiv · 2109.07640

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

Yichen Huang
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Abstract

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 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 from the subsystem can affect the dynamics of the subsystem in such a way that the features of Anderson localization are lost.

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BibTeXRIS

Yichen Huang. 2021-09-16. Adding boundary terms to Anderson localized Hamiltonians leads to unbounded growth of entanglement. https://doi.org/10.1209/0295-5075%2Facc19d

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