  Finite temperature effects in the Standard Model tend to restore the
electroweak symmetry in the early universe, but new fields coupled to the higgs
field may as well reverse this tendency, leading to the so-called electroweak
symmetry non-restoration (EW SNR) scenario. Previous works on EW SNR often
assume that the reversal is due to the thermal fluctuations of new fields with
negative quartic couplings to the higgs, and they tend to find that a large
number of new fields are required. We observe that EW SNR can be minimally
realized if the field(s) coupled to the higgs field develop(s) a stable
condensate. We show that one complex scalar field with a sufficiently large
global-charge asymmetry can develop a condensate as an outcome of
thermalization and keep the electroweak symmetry broken up to temperatures well
above the electroweak scale. In addition to providing a minimal benchmark
model, our work hints on a class of models involving scalar condensates that
yield electroweak symmetry non-restoration in the early universe.
