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We study propagation of entanglement after a mass quench in free scalar Lifshitz theories.
We show that entanglement entropy goes across three distinct growth regimes before relaxing
to a generalized Gibbs ensemble, namely, initial rapid growth, main linear growth and tortoise
saturation. We show that although a wide spectrum of quasi-particles are responsible for
entanglement propagation, as long as the occupation number of the zero mode is not divergent,
the linear main growth regime is dominated by the fastest quasi-particle propagating on the
edges of a widen light-cone. We present strong evidences in support of e\u000Bective causality
and therefore de\u000Cne an e\u000Bective notion of saturation time in these theories. The larger the
dynamical exponent is, the shorter the linear main growth regime becomes. Due to a pile
of tortoise modes which become dominant after saturation of fast modes, exact saturation is
postponed to in\u000Cnity.
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