The data comes from simulations of bubble nucleation in a cold atom gas for the two main figures in the paper "Seeding Decay of the False Vacuum". The paper abstract reads:
"We present a theory of false vacuum decay induced by spherical seeds.The type of seed considered has a boundary characterised by surface energy terms. The theory applies to false vacuum decay at zero and finite temperatures. Seeded nucleation maybe important for enabling future false vacuum decay experiments on analogue systems using Bose Einstein Condensates (BEC). We show that our theory of seeded nucleation at finite temperature applied to a potassium BEC in two spatial dimensions agrees with numerical, real-time, simulations."