2016/05/10 by John Z Imbrie · 1 citation
Physics and Astronomy · Mathematics · #math-ph #cond-mat.dis-nn #math.MP #math.SP #msc:82D30 #msc:60K35 #msc:82B44
paper · pdf · doi:10.1103/physrevlett.117.027201
published as Phys. Rev. Lett. 117, 027201 (2016) · 5 pages, 1 figure. To appear in Phys. Rev. Lett
arxiv created 2016/05/10 · arxiv updated 2016/07/07
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 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.