Accessing eigenstate spin-glass order from reduced density matrices
Abstract
Many-body localized phases may not only be characterized by their ergodicity breaking, but can also host ordered phases such as the many-body localized spin-glass (MBL-SG). The MBL-SG is challenging to access in a dynamical measurement and therefore experimentally since the conventionally used Edwards-Anderson order parameter is a two-point correlation function in time. In this work, we show that many-body localized spin-glass order can also be detected from two-site reduced density matrices, which we use to construct an eigenstate spin-glass order parameter. We find that this eigenstate spin-glass order parameter captures spin-glass phases in random Ising chains both in many-body eigenstates as well as in the nonequilibrium dynamics from a local in time measurement. We discuss how our results can be used to observe MBL-SG order within current experiments in Rydberg atoms and trapped ion systems.
Keywords
Cite
@article{arxiv.1806.02571,
title = {Accessing eigenstate spin-glass order from reduced density matrices},
author = {Younes Javanmard and Soumya Bera and Markus Heyl},
journal= {arXiv preprint arXiv:1806.02571},
year = {2019}
}
Comments
4+5 pages, 3+4 figures