  The recent progress in understanding the mathematics of complex stochastic
quantization, as well as its application to quantum chromodynamics in
situations that have a complex phase problem (e.g. finite quark density, real
time), has opened up an intriguing possibility for non-relativistic many-body
physics which has so far remained largely unexplored. In this brief
contribution, I review a few specific examples of advances in the
characterization of the thermodynamics of non-relativistic matter in a variety
of one-dimensional cases affected by the sign problem: repulsive interactions,
finite polarization, finite mass imbalance, and projection to finite systems to
obtain virial coefficients.
