  Spintronics, since its inception, has mainly focused on ferromagnetic
materials for manipulating the spin degree of freedom in addition to the charge
degree of freedom, whereas much less attention has been paid to
antiferromagnetic materials. Thanks to the advances of micro-nano-fabrication
techniques and the electrical control of the N\'eel order parameter,
antiferromagnetic spintronics is booming as a result of abundant room
temperature materials, robustness against external fields and dipolar coupling,
and rapid dynamics in the terahertz regime. For the purpose of applications of
antiferromagnets, it is essential to have a comprehensive understanding of the
antiferromagnetic dynamics at the microscopic level. Here, we first review the
general form of equations that govern both antiferromagnetic and ferrimagnetic
dynamics. This general form unifies the previous theories in the literature. We
also provide a survey for the recent progress related to antiferromagnetic
dynamics, including the motion of antiferromagnetic domain walls and skyrmions,
the spin pumping and quantum antiferromagnetic spintronics. In particular, open
problems in several topics are outlined. Furthermore, we discuss the
development of antiferromagnetic quantum magnonics and its potential
integration with modern information science and technology.
