The dynamical properties of single crystal 1T-TaS$_{2}$ are investigated both in commensurate charge density wave state (CCDW state) and hidden charge density wave state (HCDW state). We develop a useful criterion in time-domain transmission terahertz measurement to judge whether the compound is driven into a metastable state or still in its virgin state. An increase of terahertz conductivity by two orders of magnitude from CCDW state to HCDW state is obtained by taking account of the penetration depth mismatch, which is in agreement with reported emph{dc} transport measurement. Upon weak pumping, only transient processes with rapid decay dynamics are triggered in both CCDW and HCDW states. We compare the conductivity increases in terahertz frequency range between transient and HCDW states and suggest that fluctuated metallic domain walls may develop in the transient states.
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