  We investigate the development of spectator (light test) field condensates
due to their quantum fluctuations in a de Sitter inflationary background,
making use of the stochastic formalism to describe the system. In this context,
a condensate refers to the typical field value found after coarse-graining
using the Hubble scale $H$, which can be essential to seed the initial
conditions required by various post-inflationary processes. We study models
with multiple coupled spectators and for the first time we demonstrate that new
forms of stationary solution exist (distinct from the standard exponential
form) when the potential is asymmetric. Furthermore, we find a critical value
for the inter-field coupling as a function of the number of fields above which
the formation of stationary condensates collapses to $H$. Considering some
simple two-field example potentials, we are also able to derive a lower limit
on the coupling, below which the fluctuations are effectively decoupled, and
the standard stationary variance formulae for each field separately can be
trusted. These results are all numerically verified by a new publicly available
python class (https://github.com/umbralcalc/nfield) to solve the coupled
Langevin equations over a large number of fields, realisations and timescales.
Further applications of this new tool are also discussed.
