Influence of weak frustration on quench dynamics of 1D spin-1/2 ANNNI model

Abstract In this work we study the dynamical quantum phase transition in the 1D spin-1/2 transverse axial next-nearest-neighbor Ising (ANNNI) model by employing the mean field Jordan-Wigner approach. The NNN interaction breaks the integrability of the ANNNI model. We have focused on the induced dynamical effects of the frustration on quench dynamics of the system. The approach helps us to diagonalize the Hamiltonian in the region where the frustration is weak and the analytical method is reliable. First, the non-analyticity of the rate function is analyzed. It is found that only by quenching across the quantum critical point, regular non-analyticitic behaviors at periodic instants are seen in the dynamics of the rate function. Here, our results confirm the existence of paramagnetic commensurate and paramagnetic incommensurate phases in the system. Second, the order parameter dynamics as a system’s macroscopical property is investigated and the oscillatory behavior is reported. Third, the nonequilibrium dynamics of the quantum correlations as the entanglement and the quantum discord are studied. We have compared the efficiency of the quantum discord with respect to the entanglement in the detection of the occurrence of the dynamical quantum phase transition.