  We consider 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 perform a
3-D Monte Carlo simulation of the system, considering the configurations
allowed to form: i) Only two mesons, ii) Only tetraquark and iii) two mesons
and tetraquark . We characterize each case and determine whether it is
energetically more favorable to form a tetraquark or two mesons, as a function
of the interparticle separation distance 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. Properties like the mean square radius and the
two-particle correlation function are found to reflect such transition, and we
provide a parameterization of the diquark correlation function in the isolated
case. We track the dynamical flipping among configurations to determine the
recombination probability, exhibiting the importance of the tetraquark state.
We analize the four-body potential evolution and show that its linear behavior
is preserved, although the slope can reflect the presence of a mixed state.
Results are shown for several light-quarks to heavy-antiquarks mass ratios
whenever they are found to be relevant.
