Time dependence of reflected entropy in rational and holographic conformal field theories

Understand

We calculate the time dependence of the reflected entropy of two disconnected regions after a global quench in $(1+1)$-dimensional conformal field theories and in large temperature limit.

• For rational conformal field theories, we find that the time evolution of the reflected entropy is the same as that of the mutual information.
• We get the same result for holographic theories in the limit where the separation between disconnected regions is much smaller than their respective sizes.
• We discuss how this result is consistent with the quasi-particle picture of Calabrese and Cardy \cite{calabrese-cardy}.