Entanglement in a dephasing model and many-body localization
Disordered Systems and Neural Networks
2018-06-08 v2 Strongly Correlated Electrons
Quantum Physics
Abstract
We study entanglement dynamics in a diagonal dephasing model in which the strength of interaction decays exponentially with distance -- the so-called l-bit model of many-body localization. We calculate the exact expression for entanglement growth with time, finding in addition to a logarithmic growth, a sublogarithmic correction. Provided the l-bit picture correctly describes the many-body localized phase this implies that the entanglement in such systems does not grow (just) as a logarithm of time, as believed so far.
Keywords
Cite
@article{arxiv.1803.02874,
title = {Entanglement in a dephasing model and many-body localization},
author = {Marko Znidaric},
journal= {arXiv preprint arXiv:1803.02874},
year = {2018}
}
Comments
11 pages; v2: about one page of additional comments and explanations