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We study critical dynamics through time evolution of quantum field theoriesdriven to a Lifshitz-like fixed point, with $z>1$, under relevant deformations.The deformations we consider are fast smooth quantum quenches, namely when thequench scale $\delta t^{-z}$ is large compared to the deformation scale. Weshow that in holographic models the response of the system merely depends onthe scaling dimension of the quenched operator as $\delta\lambda\cdot\deltat^{d-2\Delta+z-1}$, where $\delta\lambda$ is the deformation amplitude. Thisscaling behavior is enhanced logarithmically in certain cases. We also studyfree Lifshitz scalar theory deformed by mass operator and show that theuniversal scaling of the response completely matches with holographic analysis.We argue that this scaling behavior is universal for any relevant deformationaround Lifshitz-like UV fixed points.

Universal Scaling in Fast Quenches Near Lifshitz-Like Fixed Points