  We present a nonperturbative computation of the equation of state of
polarized, attractively interacting, nonrelativistic fermions in one spatial
dimension at finite temperature. We show results for the density, spin
magnetization, magnetic susceptibility, and Tan's contact. We compare with the
second-order virial expansion, a next-to-leading-order lattice perturbation
theory calculation, and interpret our results in terms of pairing correlations.
Our lattice Monte Carlo calculations implement an imaginary chemical potential
difference to avoid the sign problem. The thermodynamic results on the
imaginary side are analytically continued to obtain results on the real axis.
We focus on an intermediate- to strong-coupling regime, and cover a wide range
of temperatures and spin imbalances.
