Operator and entanglement growth in non-thermalizing systems: many-body localization and the random singlet phase
Strongly Correlated Electrons
2021-12-15 v3 Disordered Systems and Neural Networks
Statistical Mechanics
High Energy Physics - Theory
Abstract
We characterize the growth and spreading of operators and entanglement in two paradigmatic non-thermalizing phases - the many-body localized phase and the random singlet phase - using out-of-time-ordered correlators, the entanglement contour, and operator entanglement. We contrast these phases with strongly thermalizing holographic conformal field theories and fully localized Anderson insulators. We obtain a phenomenological description of the operator and state dynamics of these phases and demonstrate the utility of the entanglement contour and operator entanglement measures as useful probes of slowly scrambling and non-thermalizing dynamics.
Keywords
Cite
@article{arxiv.2001.08222,
title = {Operator and entanglement growth in non-thermalizing systems: many-body localization and the random singlet phase},
author = {Ian MacCormack and Mao Tian Tan and Jonah Kudler-Flam and Shinsei Ryu},
journal= {arXiv preprint arXiv:2001.08222},
year = {2021}
}
Comments
11 pages