  Many-body systems undergoing quantum phase transitions reveal substantial
growth of non-classical correlations between different parties of the system.
This behavior is manifested by characteristic divergences of the von Neumann
entropy. Here we show, that very similar features may be observed in
one-dimensional systems of a few strongly interacting atoms when the structural
transitions between different spatial orderings are driven by a varying shape
of an external potential. When the appropriate adaptation of the finite-size
scaling approach is performed in the vicinity of the transition point,
few-fermion systems display a characteristic power-law invariance of divergent
quantities.

Quantum Gases