  As a most important feature of non-Hermitian systems, exceptional points
(EPs) lead to a variety of unconventional phenomena and applications. Here we
discover that multitype entanglement dynamics can be induced by engineering
different orders of EP. By studying a generic model composed of two coupled
non-Hermitian qubits, we find that diverse entanglement dynamics on the two
sides of the fourth-order EP (EP4) and second-order EP (EP2) can be observed
simultaneously in the weak coupling regime. With the increase of the coupling
strength, the EP4 is replaced by an additional EP2, leading to the
disappearance of the entanglement dynamics transition induced by EP4 in the
strong coupling regime. Considering the case of Ising type interaction, we also
realize EP-induced entanglement dynamics transition without the driving field.
Our study paves the way for the investigation of EP-induced quantum effects and
applications of EP-related quantum technologies.
