  We develop a theory of finite-time scaling for dynamic quantum criticality by
considering the competition among an external time scale, an intrinsic reaction
time scale and an imaginary time scale arising respectively from an external
driving field, the fluctuations of the competing orders and thermal
fluctuations. Through a successful application in determining the critical
properties at zero temperature and the solution of real-time Lindblad master
equation near a quantum critical point at nonzero temperatures, we show that
finite-time scaling offers not only an amenable and systematic approach to
detect the dynamic critical properties, but also a unified framework to
understand and explore nonequilibrium dynamics of quantum criticality, which
shows specificities for open systems.
