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We find multiple Mg II absorption systems at redshift z=1.66, 2.069, and2.097 in the spatially resolved spectra of the quadruply gravitationally lensedquasar H1413+1143 utilizing the Kyoto tridimensional spectrograph II (Kyoto3DII) spectrograph on board the Subaru telescope. Here we present the firstmeasurement of differences in Mg II absorption strength of the multipleintervening absorbers, which include ones identified as damped Lyman alpha(DLA) absorption systems. Our detection of the significant Mg II absorptions inthe spatially resolved spectra reveals the inhomogeneous chemical enrichment onscales of about 12 kpc within the separation of the four sightlines. For theDLA system at z=1.66, the rest equivalent widths of the Mg II absorption linesbetween the four spatially resolved lines of sight change by factors of up toabout 6, which trace the variations in the H I absorption strength. Thissuggests that inhomogeneous cold absorbers that give rise to the strong H I/MgII absorptions dwell on a scale of about 6-12 kpc between the four lines ofsight. We also investigate the degree of variation in the equivalent width ofthe absorption lines between the lines of sight. We find that the systemsgiving rise to strong absorptions in the spectra of the quadruply lensedquasars tend to have a high degree of variation in absorption strength betweenthe lines of sight toward the lensed quasars.

Multiple MgII Absorption Systems in the Lines of Sight to Quadruply Lensed Quasar H1413+1143