The ALMA Spectroscopic Survey in the HUDF: CO Excitation and Atomic Carbon in Star-Forming Galaxies at $z=1-3$.

We investigate the CO excitation and interstellar medium (ISM) conditions in a cold gas mass-selected sample of 22 star-forming galaxies at z=0.46-3.60, observed as part of the ALMA Spectroscopic Survey in the Hubble Ultra Deep Field (ASPECS). Combined with VLA follow-up observations, we detect a total of 34 CO J -> J-1 transitions with J=1 up to 8 (and an additional 21 upper limits, up to J=10) and six [C I] 3P_1 -> 3P_0 and 3P_2 -> 3P_1 transitions (and 12 upper limits). The CO(2-1) and CO(3-2)-selected galaxies, at z=1.2 and 2.5, respectively, exhibit a range in excitation in their mid-J=4,5 and high-J=7,8 lines, on average lower than (L_IR-brighter) BzK-color- and submillimeter-selected galaxies at similar redshifts. The former implies that a warm ISM component is not necessarily prevalent in gas mass-selected galaxies at z=1.2. We use stacking and Large Velocity Gradient models to measure and predict the average CO ladders at z =2, finding r_21=0.75+/-0.11 and r_31=0.77+/-0.14, respectively. From the models, we infer that the galaxies at z>=2 have intrinsically higher excitation than those at z = 10^4 cm^3), consistent with the low-J CO excitation. Our results imply a decrease in the cosmic molecular gas mass density at z>=2 compared to previous ASPECS measurements.