  We study the finite volume effects on the electric polarizability for the
neutron, neutral pion, and neutral kaon using eight dynamically generated
two-flavor nHYP-clover ensembles at two different pion masses: 306(1) and
227(2) MeV. An infinite volume extrapolation is performed for each hadron at
both pion masses. For the neutral kaon, finite volume effects are relatively
mild. The dependence on the quark mass is also mild and a reliable chiral
extrapolation can be performed along with the infinite volume extrapolation.
Our result is $\alpha_{K^0}^\mbox{phys}=0.356(74) \times 10^{-4} \mbox{fm}^3$.
In contrast, for neutron the electric polarizability depends strongly on the
volume. After removing the finite volume corrections, our neutron
polarizability results are in good agreement with $\chi$PT. For the connected
part of the neutral pion polarizability, the negative trend persists, and it is
not due to finite volume effects, but likely sea quark charging effects.
