Quantum Renormalization of Coherence Measure in Transverse Ising Model

In this paper, we investigate quantum renormalization group theory in transverse Ising model on one dimensional chain of spin-1/2 particles. To this end, we employ recursion relations to quantum renormalization of coherence measure at ground state. Coherence measure diagram in terms of intensity of transverse field for higher renormalization steps shows the detection of quantum phase transition point for transverse Ising model which implies that the coherence measure can be a good indicator of quantum phase transition in transverse Ising model. Also, we obtain the divergence behavior that governs the first derivative of the coherence measure behavior, near to critical point. Although the coherence measure depends on the basis of writing the density matrix, results show that the quantum phase transition point detected by coherence measure is independent of selected basis.