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Post-starburst galaxies are in the transitional stage between blue,star-forming galaxies and red, quiescent galaxies, and therefore hold importantclues for our understanding of galaxy evolution. In this paper, wesystematically searched for and identified a large sample of post-starburstgalaxies from the spectroscopic dataset of the Sloan Digital Sky Survey (SDSS)Data Release 9. In total, we found more than 6000 objects with redshiftsbetween $z\sim0.05$ and $z\sim1.3$, making this the largest sample ofpost-starburst galaxies in the literature. We calculated the luminosityfunction of the post-starburst galaxies using two uniformly selectedsubsamples: the SDSS Main Galaxy Sample and the Baryon OscillationSpectroscopic Survey CMASS Sample. The luminosity functions are reasonably fitby half-Gaussian functions. The peak magnitudes shift as a function of redshiftfrom $M\sim-23.5$ at $z\sim0.8$ to $M\sim-20.3$ at $z\sim0.1$. This isconsistent with the downsizing trend, whereby more massive galaxies formearlier than low-mass galaxies. We compared the mass of the post-starburststellar population found in our sample to the decline of the globalstar-formation rate and found that only a small amount ($\sim1\%$) of allstar-formation quenching in the redshift range $z=0.2-0.7$ results inpost-starburst galaxies in the luminosity range our sample is sensitive to.Therefore, luminous post-starburst galaxies are not the place where most of thedecline in star-formation rate of the universe is happening.

The Evolution of Post-Starburst Galaxies from $z\sim1$ to the Present