  The normal state of high-Tc cuprates has been considered one of the essential
topics in high-temperature superconductivity research. However, compared to the
high magnetic fields study of it, understanding a photoinduced normal state
remains elusive. Here, we explore a photoinduced normal state of
YBa$_2$Cu$_3$O$_{6.67}$ (YBCO) through a charge density wave (CDW) with
time-resolved resonant soft x-ray scattering, as well as a high-magnetic field
x-ray scattering. In the non-equilibrium state in which people predict a
quenched superconducting state based on the previous optical spectroscopies, we
experimentally observed a similar analogy to the competition between
superconductivity and CDW shown in the equilibrium state. We further observe
that the broken pairing states in the superconducting CuO$_2$ plane via the
optical pump lead to nucleation of three-dimensional CDW precursor correlation,
revealing that the photoinduced CDW is similar to phenomena shown under
magnetic fields. Ultimately, these findings provide a critical clue that the
characteristics of the photoinduced normal state show a solid resemblance to
those under magnetic fields in equilibrium conditions.
