Concerning the question of whether we have taken the effects of higher Bloch bands into effect, our numerical calculations do take this into account. The question of higher Bloch bands is a little subtle when it comes to our analytical calculation done in the Wannier-Stark picture. In the presence of the force, the true eigenstates of the system are no longer the Bloch states but the localized Wannier-Stark states. In the analytical calculation we restrict ourselves to just the ground band Wannier-Stark states. However, even with this approximation we find very good agreement between the numerical and analytical calculations.
Author Response The authors present a new interpretation to study Bloch oscillations in a cavity sustained optical lattice and the potential use of this system for very sensitive force measurement.The idea is closely related to previous work as Ref.