Abstract

Quantum solitons appear in the optical communications literature as classical solitons vested with quantum fluctuations [1]. A generic model is the quantum nonlinear Schrödinger model (NLS) which may describe soliton transmission in an optical fibre. The normally ordered quantum NLS model in one space dimension (x) is (for h = 1, $m=\frac{1}{2}$, and far solitons we consider specifically c < 0, the attractive case, of Eqn (1) and its adjoint): ψ, adjoint ψ^†, are quantum fields in x,t satisfying the Bose commutation relations [ψ(x,t), ψ^†(x′,t)] = δ(x − x′) (for h = 1).

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