  In a recent letter, J. Cardy, Phys. Rev. Lett. \textbf{112}, 220401 (2014),
the author made a very interesting observation that complete revivals of
quantum states after quantum quench can happen in a period which is a fraction
of the system size. This is possible for critical systems that can be described
by minimal conformal field theories (CFT) with central charge $c<1$. In this
article, we show that these complete revivals are impossible in microscopic
realizations of those minimal models. We will prove the absence of the
mentioned complete revivals for the critical transverse field Ising chain
analytically, and present numerical results for the critical line of the XY
chain. In particular, for the considered initial states, we will show that
criticality has no significant effect in partial revivals. We also comment on
the applicability of quasi-particle picture to determine the period of the
partial revivals qualitatively. In particular, we detect a regime in the phase
diagram of the XY chain which one can not determine the period of the partial
revivals using the quasi-particle picture.

Strongly Correlated Electrons;High Energy Physics - Theory