Quantum Physics

    

Adding Boundary Terms to Anderson Localized Hamiltonians Leads to Unbounded Growth of Entanglement

Authors: Yichen Huang

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

Comments: 6 Pages. Preprint number: MIT-CTP/5326

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Submission history

[v1] 2021-09-15 21:11:07

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