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The unexpected discovery of hot Jupiters challenged the classical theory ofplanet formation inspired by our solar system. Until now, the origin andevolution of hot Jupiters are still uncertain. Determining their agedistribution and temporal evolution can provide more clues into the mechanismof their formation and subsequent evolution. Using a sample of 383 giantplanets around Sun-like stars collected from the kinematic catalogs of thePlanets Across Space and Time (PAST) project, we find that hot Jupiters arepreferentially hosted by relatively younger stars in the Galactic thin disk. Wesubsequently find that the frequency of hot Jupiters declines with age. Incontrast, the frequency of warm/cold Jupiters shows no significant dependenceon age. Such a trend is expected from the tidal evolution of hot Jupiters'orbits, and our result offers supporting evidence using a large sample. We alsoperform a joint analysis on the planet frequencies in the stellarage-metallicity plane. The result suggests that the frequencies of hot Jupitersand warm/cold Jupiters, after removing the age dependence are both correlatedwith stellar metallicities. Moreover, we show that the above correlations canexplain the bulk of the discrepancy in hot Jupiter frequencies inferred fromthe transit and radial velocity (RV) surveys, given that RV targets tend to bemore metal-rich and younger than transits.

Planets Across Space and Time (PAST). V. The evolution of hot Jupiters revealed by the age distribution of their host stars