Logarithmic, noise-induced dynamics in the Anderson insulator
Abstract
We study the dynamical behavior of the Anderson insulator in the presence of a local noise. We show that the noise induces logarithmically slow energy and entanglement growth, until the system reaches an infinite-temperature state, where both quantities saturate to extensive values. The saturation value of the entanglement entropy approaches the average entanglement entropy over all possible product states. At infinite temperature, we find that a density excitation spreads logarithmically with time, without any signs of asymptotic diffusive behavior. In addition, we provide a theoretical picture which qualitatively reproduces the phenomenology of particle transport.
Keywords
Cite
@article{arxiv.2108.08861,
title = {Logarithmic, noise-induced dynamics in the Anderson insulator},
author = {Talía L. M. Lezama and Yevgeny Bar Lev},
journal= {arXiv preprint arXiv:2108.08861},
year = {2022}
}
Comments
7 pages, 4 figures; added references and discussion of the entanglement entropy asymptotic value