We perform a 3-D Monte Carlo simulation of a system composed of two identical light quarks ($qq$) and two identical antiquarks ($\bar Q\bar Q$) that can be linked either as two mesons or as a tetraquark, incorporating quantum correlations between identical particles and an effective many-body potential between particles . We characterize each case and determine wether it is energetically more favorable to form a tetraquark or two mesons, as a function of the interparticle separation which, for a fixed number of particles, can be identified as a particle density. We determine how the two mesons, which dominate the low density regime, mixes with a tetraquark state as the density increases. Results are shown for several light-quarks to heavy-antiquarks mass ratios whenever they are found to be relevant.