Localization Lifetime of a Many-Body System with Periodic Constructed Disorder
Mesoscale and Nanoscale Physics
2017-08-02 v1 Disordered Systems and Neural Networks
Quantum Physics
Abstract
We show that, in a many-body system, all particles can be strongly confined to the initially occupied sites for a time that scales as a high power of the ratio of the bandwidth of site energies to the hopping amplitude. Such time-domain formulation is complementary to the formulation of the many-body localization of all stationary states with a large localization length. The long localization lifetime is achieved by constructing a periodic sequence of site energies with a large period in a one-dimensional chain. The scaling of the localization lifetime is independent of the number of particles for a broad range of the coupling strength. The analytical results are confirmed by numerical calculations.
Keywords
Cite
@article{arxiv.1611.05713,
title = {Localization Lifetime of a Many-Body System with Periodic Constructed Disorder},
author = {M. Schecter and M. Shapiro and M. I. Dykman},
journal= {arXiv preprint arXiv:1611.05713},
year = {2017}
}