Figure 4. Characterization of bunching to antibunching transitions and observation of nonlocality of the states.

(a,b) Interparticle distance distribution g(k−l) at four propagation distances for a symmetric input state (a) and an antisymmetric input state (b). (c,d) Violations of the Bell-like inequality normalized to s.d. obtained with a symmetric input state at a propagation distance of 0.4λ_B, and corresponding simulation. (e,f) Violations of the Bell-like inequality normalized to s.d. obtained with an antisymmetric input state at a propagation distance of 0.1λ_B and corresponding simulation. Null or negative elements in the inequality matrix are displayed as a blank cell. The positive elements in the matrix, that is with V_k,l/σ_k,l>0, indicate the presence of correlations with no classical analogue.