title: Diagonalization and Many-Body Localization for a Disordered Quantum Spin Chain.
abstract: 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 Kolmogorov-Arnold-Moser-style construction, a sequence of local unitary transformations is used to diagonalize the Hamiltonian by deforming the initial tensor-product basis into a complete set of exact many-body eigenfunctions.
authors.affiliation: Department of Mathematics, University of Virginia, Charlottesville, Virginia 22904-4137, USA.
authors.forename: John Z
authors.initials: JZ
authors.lastname: Imbrie