Efficient variational diagonalization of fully many-body localized Hamiltonians
Strongly Correlated Electrons
2016-08-03 v1 Disordered Systems and Neural Networks
Abstract
We introduce a unitary matrix-product operator (UMPO) based variational method that approximately finds all the eigenstates of fully many-body localized (fMBL) one-dimensional Hamiltonians. The computational cost of the variational optimization scales linearly with system size for a fixed bond dimension of the UMPO ansatz. We demonstrate the usefulness of our approach by considering the Heisenberg chain in a strongly disordered magnetic field for which we compare the approximation to exact diagonalization results.
Keywords
Cite
@article{arxiv.1506.07179,
title = {Efficient variational diagonalization of fully many-body localized Hamiltonians},
author = {Frank Pollmann and Vedika Khemani and J. Ignacio Cirac and S. L. Sondhi},
journal= {arXiv preprint arXiv:1506.07179},
year = {2016}
}
Comments
6 pages, 4 figures