  We introduce the out-of-time-correlation(OTOC) with the Planck cell
resolution. The dependence of this OTOC on the initial state makes it function
like a microscope, allowing us to investigate the fine structure of quantum
dynamics beyond the thermal state. We find an explicit relation of this OTOC to
the spreading of the wave function in the Hilbert space, unifying two branches
of the study of quantum chaos: state evolution and operator dynamics. By
analyzing it in the vicinity of the classical limit, we clarify the dependence
of the OTOC's exponential growth on the classical Lyapunov exponent.
