Adding boundary terms to Anderson localized Hamiltonians leads to unbounded growth of entanglement
arXiv:2109.07640 · doi:10.1209/0295-5075/acc19d
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.
arXiv commentv3: published version
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