Time evolution of a quantum soliton in a Kerr medium

The Q-function of the quantum soliton in a fibre is derived in a new form s uitable for the assessment of the possibilities for experimental observatio ns of specific quantum-soliton effects. The characteristic effects of solit on evolution are associated with a cubic term in the nonlinear phase angle and appear at distances well beyond the attenuation length (long range). At the accessible distances, the nonlinear dynamics of a fundamental soliton follows essentially the single-mode dynamics (short and middle range). Howe ver, for the higher-order solitons, the form of the evolution parameter sug gests strong deviations of soliton dynamics from the single-mode with a squ are of soliton number. The use of enhanced-nonlinearity fibres and higher-o rder solitons might make the experimental studies of the specific quantum-s oliton features more viable.