Complexity, Information Geometry, and Loschmidt Echo near Quantum Criticality

Nitesh Jaiswal, Mamta Gautam, Tapobrata Sarkar

We consider the Nielsen complexity ${\mathcal{C}}_N$, the Loschmidt echo $\mathcal{L}$, and the Fubini-Study complexity $\tau$ in the transverse XY model, following a sudden quantum q…