Scrambling under quench

Understand

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.