Renormalization of steered coherence and quantum phase transitions in the alternating Ising model

Abstract

We explore net steered coherence defined with respect to the mutually unbiased bases. By using the quantum renormalization group method, we studied its scaling property for the ground state of two blocks of the alternating Ising model in the renormalized space. The results show that different patterns in the net steered coherence describe different phases of the model, and its susceptibility with respect to the magnetic field is divergent at the critical points of quantum phase transitions. As the net steered coherence exists for almost all bipartite states, it can serve as an alternative for exploring quantum criticality of the many-body systems in the parameter regions without entanglement and quantum discord.