The dynamical behavior of quantum coherence in one-dimensional transverse-field Ising model

Abstract

Quantum coherence and quantum correlation, as a key feature, have proven essential to our understanding of quantum critical phenomena. In this study, we contribute to characterize the quantum phase transition in the Ising model in a transverse field by using l1 norm coherence and quantum discord. The unitary operator is enforced in the model so that we extend the static problem to dynamics case. For quantum coherence, we show that it oscillates with the increase of magnetic field g. The extent of oscillation decreases when the size of the spin chain increase. Meanwhile, however, the oscillating frequency will increase. For quantum discord, it will decrease with the increase of quantum renormalization group and that result totally different with quantum coherence. We demonstrate that the classical correlation have similar behavior like quantum coherence. Furthermore, we show that quantum coherence also can detect the quantum critical point even when the intrinsic decoherence are enforced in the model.