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.
v3: published version
References in corpus (9)
- Many body localization and thermalization in quantum statistical mechanics
- Many body localization in Heisenberg XXZ magnet in a random field
- Phenomenology of fully many-body-localized systems
- Recent progress in many-body localization
- Slow scrambling in disordered quantum systems
- Entanglement spreading in a many-body localized system
- Quantum revivals and many-body localization
- Logarithmic, noise-induced dynamics in the Anderson insulator
- Localization of a mobile impurity interacting with an Anderson insulator