  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.
