Speaker
Description
We investigate dynamical quantum phase transitions (DQPTs) in the transverse field Ising model on ensembles of random Erdős-Rényi networks of size $N$. We analytically show that dynamical critical points are independent of the edge generation probability $p$, and matches that of the integrable fully connected network ($p=1$). This is due to the $O(N^{-1/2})$ bound on the overlap between the wave function after a quench and the wave function of the fully connected network after the same quench. For a DQPT defined by the rate function of the Loschmidt echo, we find that it deviates from the $p=1$ limit near vanishing points of the echo. Our analysis suggests that this divergence arises from persistent non-trivial global many-body correlations absent in the $p=1$ limit.
