High-dimensional entanglement dynamics of two three-level giant atoms coupling to a one-dimensional waveguide

High-dimensional entanglement offers promising perspectives in quantum information science. Characterizing the dynamics of entanglement in high-dimensional state spaces is a necessary prerequisite towards practical quantum information processing. Here, we study the entanglement dynamics of two three-level giant atoms coupling to a one-dimensional waveguide. Our results imply that the entanglement evolution is enhanced by a large accumulated phase for the time delay with small values, while for the large time delay, the entanglement is robust to the change of the accumulated phase. With regard to the effect of the Rabi frequency and atoms’ detuning, the entanglement evolution takes a controversial behavior for initial entangled states coupling to the waveguide or to the classical field. Our analysis may contribute to understanding of entanglement dynamics of qutrit systems coupling to a one-dimensional waveguide. Graphic abstract