We study holographically the zero and finite temperature behavior of the potential energy and holographic subregion complexity corresponding to a probe meson in a non-conformal model. Interestingly, in the specific regime of the model parameters, at
zero and low temperatures, we find a nicely linear relation between dimensionless meson potential energy and dimensionless volume implying that the less bounded meson state needs less information to be specified and vice versa. But this behavior can not be confirmed in the high temperature limit. We also observe that the non-conformal corrections increase holographic subregion complexity in both zero and finite temperature. However, non-conformality has a decreasing effect on the dimensionless meson potential energy. We finally find that in the vicinity of the phase transition, the zero temperature meson state is more favorable than the finite temperature state, from the holographic subregion complexity point of view.
We use gauge-gravity duality to compute entanglement entropy in a non-conformal background with an energy scale $Lambda$. At zero temperature, we observe that entanglement entropy decreases by raising $Lambda$. However, at finite temperature, we real
ize that both $frac{Lambda}{T}$ and entanglement entropy rise together. Comparing entanglement entropy of the non-conformal theory, $S_{A(N)}$, and of its conformal theory at the $UV$ limit, $ S_{A(C)}$, reveals that $S_{A(N)}$ can be larger or smaller than $S_{A(C)}$, depending on the value of $frac{Lambda}{T}$.
