  We evaluate out of time ordered correlators in certain low dimensional
quantum systems at zero temperature, subjected to homogenous quantum quenches.
We find that when the Lyapunov exponent exists, it can be identified with the
quenched energy. We show that the exponent naturally gets related to the
post-quench effective temperature. In the context of sudden quenches the
exponent is determined in terms of the quench amplitude while for smooth
quenches we observe scalings (both the Kibble-Zurek as well as the fast) of the
exponent with the quench rate. The scalings are identical to that of the energy
generated during the quench.
