  We are able to detect clear signatures of dephasing -- a distinct trait of
Many-Body Localisation (MBL) -- via the dynamics of two-sites entanglement,
quantified through the concurrence. Using the protocol implemented in [Science
{\bf 349}, 842 (2015)] we show that -- in the MBL phase -- the average two-site
entanglement decays in time as a power law, while in the Anderson localised
phase it tends to a plateau. The exponent of the power law is not universal and
shows a clear dependence on the strength of the interaction. This behaviour is
also qualitatively different in the ergodic phase where the two-site
entanglement decays exponentially. All the results are obtained by means of
time-dependent density matrix renormalisation group simulations; they are
corroborated by analytical calculations on an effective model. Two-site
entanglement has been already measured in cold atoms: Our analysis paves the
way for the first direct experimental test of many-body dephasing in the MBL
phase.
