On Many-Body Localization for Quantum Spin Chains
Mathematical Physics
2016-07-08 v4 Disordered Systems and Neural Networks
math.MP
Probability
Abstract
For a one-dimensional spin chain with random local interactions, we prove that many-body localization follows from 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.
Cite
@article{arxiv.1403.7837,
title = {On Many-Body Localization for Quantum Spin Chains},
author = {John Z. Imbrie},
journal= {arXiv preprint arXiv:1403.7837},
year = {2016}
}
Comments
62 pages, 4 figures, additional details in section 4 and references for published version. To appear in Jour. Stat. Phys