Einstein-Podolsky-Rosen paradox with quantum solitons in optical fibers

Two solitons in a nonlinear ber behave like two particles. They propagate without distortion, collide elastically gaining quantum correlations and emerge separately from the ber 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).