Reply to “Comment on ‘Ultrafast terahertz-field-driven ionic response in ferroelectric ${\mathrm{BaTiO}}_3$' ”

In this reply to S. Durbin's comment on our original paper “Ultrafast terahertz-field-driven ionic response in ferroelectric ${\mathrm{BaTiO}}_3$,” we concur that his final equations 8 and 9 more accurately describe the change in diffracted intensity as a function of Ti displacement. We also provide an alternative derivation based on an ensemble average over unit cells. The conclusions of the paper are unaffected by this correction.