Shift-invert diagonalization of large many-body localizing spin chains
Disordered Systems and Neural Networks
2018-11-07 v3 Computational Physics
Abstract
We provide a pedagogical review on the calculation of highly excited eigenstates of disordered interacting quantum systems which can undergo a many-body localization (MBL) transition, using shift-invert exact diagonalization. We also provide an example code at https://bitbucket.org/dluitz/sinvert_mbl/. Through a detailed analysis of the simulational parameters of the random field Heisenberg spin chain, we provide a practical guide on how to perform efficient computations. We present data for mid-spectrum eigenstates of spin chains of sizes up to . This work is also geared towards readers with interest in efficiency of parallel sparse linear algebra techniques that will find a challenging application in the MBL problem.
Keywords
Cite
@article{arxiv.1803.05395,
title = {Shift-invert diagonalization of large many-body localizing spin chains},
author = {Francesca Pietracaprina and Nicolas Macé and David J. Luitz and Fabien Alet},
journal= {arXiv preprint arXiv:1803.05395},
year = {2018}
}