# A rigorous result on many-body localization

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John Imbrie , The University of Virginia
Jadwin Hall 343

A one-dimensional spin chain with random interactions exhibits many-body localization. I will discuss a proof under a physically reasonable assumption that limits the amount of level attraction in the system. The construction uses a sequence of local unitary transformations to diagonalize the Hamiltonian and connect the exact many-body eigenfunctions to the original basis vectors.