  Localisation-protected quantum order extends the idea of symmetry breaking
and order in ground states to individual eigenstates at arbitrary energy.
Examples include many-body localised static and $\pi$-spin glasses in Floquet
systems. Such order is inherently dynamical and difficult to detect as the
order parameter typically varies randomly between different eigenstates,
requiring specific superpositions of eigenstates to be targeted by the initial
state. We show that two-time correlators overcome this, reflecting the presence
or absence of eigenstate order even in fully-mixed, $infinite$ $temperature$
states. We show how spatiotemporal correlators are generated by the recently
introduced dynamical potentials, demonstrating this explicitly using an Ising
and a Floquet $\pi$-spin glass and focusing on features mirroring those of
equilibrium statistical mechanics such as bimodal potentials in the
symmetry-broken phase.
