  In the recent years many examples appeared in the literature where the
configuration entropy (CE), introduced by Gleiser and Stamatopoulos, plays the
role of an indicator of stability of physical systems. It was observed that,
comparing states of the same system, the lower is the value of the CE, the more
stable is the state. In this work we investigate the behaviour of the
differential configuration entropy (DCE) , that is appropriate for systems with
continuous degrees of freedom, in a new context. We consider quasi-states of
quarkonium (a vector meson made of a heavy quark anti-quark pair) inside a
plasma at finite density. It is known that the density increases the
dissociation effect for quasi-particles inside a plasma. So, increasing the
density of a thermal medium corresponds to reducing the stability of the
quasi-particles. In order to investigate how this situation is translated in
the Configutation Entropy context, we use a recently developed holographic
AdS/QCD model for heavy vector mesons. The quasi-normal modes describing the
quasi-states are obtained and the corresponding DCE is calculated. We find, for
bottomonium and charmonium $1 S$ quasi-states, that the DCE increases with the
quark density, or quark chemical potential, of the medium. This result shows
that the DCE works again as an indicator of stability, represented in this case
by the dissociation effect associated with the density.
