  Heavy vector mesons produced in a heavy ion collision are important sources
of information about the quark gluon plasma (QGP). For instance, the fraction
of bottomonium states observed in such a collision is altered by the
dissociation effect caused by the plasma. So, it is very important to
understand how the properties of the plasma, like temperature $(T)$, density
and the presence of background magnetic fields $(eB)$, affect the dissociation
of bottomonium in the thermal medium. AdS/QCD holographic models provide a tool
for investigating the properties of heavy mesons inside a thermal medium. The
meson states are represented by quasinormal modes in a black hole geometry. In
this work we calculate the quasinormal modes and the associated complex
frequencies for the four lowest levels of radial excitation of bottomonium
inside a plasma with a magnetic field background. We also calculate the
differential configuration entropy (DCE) for all these states and investigate
how the dissociation effect produced by the magnetic field is translated into a
dependence of the DCE on $eB$. An interesting result obtained in this study is
that the DCE increases with the radial excitation level $n$. Also, a nontrivial
finding of this work is that the energy density associated with the bottomonium
quasinormal modes presents a singularity near the black hole horizon for some
combination of values of $T, eB$ and $n$. As we show here, it is possible to
separate the singular factor and define a square integrable quantity that
provides a DCE that is always finite. In addition, we discovered that, working
with the potentially singular energy density, one finds a very interesting way
to use the DCE as a tool for determining the dissociation temperature of the
meson quasisates.
