Effcient simulation of the adaptive time-dependent density-matrix renormalization-group with periodic boundary conditions

We introduce a numerical method of the adaptive time-dependent density-matrix renormalization-group to compute one-dimensional quantum spin systems with periodic boundary condition. We check our algorithm to study the dynamic correlation in spin-1/2 Heisenberg XX chain at zero temperature, and the numerical analysis of errors indicates that this method could be used to efficiently simulate the time-dependent properties of low-energy dynamics in an arbitrary one-dimensional quantum many-body systems with the nearest-neighbor interaction.