## Diagonalization and Many-Body Localization for a Disordered Quantum Spin Chain

*Imbrie, John Z*;

Related identifiers: - Subject: 82D30, 60K35, 82B44, 82D30 | Mathematical Physics | Mathematics - Spectral Theory | Condensed Matter - Disordered Systems and Neural Networks

We consider a weakly interacting quantum spin chain with random local interactions. We prove that many-body localization follows from a physically reasonable assumption that limits the extent of level attraction in the statistics of eigenvalues. In a KAM-style construct... View more

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