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We consider the time evolution of mixed state correlation measures intwo-dimensional conformal field theories, such as logarithmic negativity, oddentropy, and reflected entropy, after quantum quenches of various kinds. Thesecorrelation measures, in the holographic context, are all associated to theentanglement wedge cross section. We contrast various classes of conformalfield theories, both rational and irrational (pure) conformal field theories.First, for rational conformal field theories, whose dynamics can be welldescribed by the quasi-particle picture, we find all four quantities fordisjoint intervals to be proportional, regardless of the specific quenchprotocol. Second, using the light cone bootstrap, we generalize our results toirrational conformal field theories where we find sharp distinctions from thequasi-particle results and striking differences between mutual information andthe other measures. The large surplus of logarithmic negativity relative tomutual information forces us to reconsider what mutual information andlogarithmic negativity really measure. We interpret these results as asignature of information scrambling and chaos in irrational theories. These CFTresults perfectly agree with our gravitational (holographic) calculations.Furthermore, using holography, we are able to generalize the results to outsideof the light cone limit. Finally, due to the breakdown of the quasi-particlepicture for irrational theories, we appeal to the "line-tension picture,"motivated by random unitary circuits, as a phenomenological description. Weobserve that random unitary circuits, with local Hilbert space dimensiondetermined by the Cardy formula, have precisely the same entanglement dynamicsas irrational (including holographic) conformal field theories.

Correlation measures and the entanglement wedge cross-section after quantum quenches in two-dimensional conformal field theories