Abstract
Two solitons in a nonlinear fiber behave like two particles. They propagate without distortion, collide elastically gaining quantum correlations and emerge separately from the fiber providing the condition of spacelike separation. The entanglement appearing between positions and momenta of the two distanced solitons allows us a close following of the famous Einstein-Podolsky-Rosen (EPR) reasoning with two correlated quantum particles. The particlelike behavior of the solitons makes our proposal conceptually different from the previous optical schemes with correlated plane waves (photons).