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We predict phase-transitions in the quantum noise characteristics of systemsdescribed by the quantum nonlinear Schr\"odinger equation, showing them to berelated to the solitonic field transition at half the fundamental solitonamplitude. These phase-transitions are robust with respect to Raman noise andscattering losses. We also describe the rich internal quantum noise structureof the solitonic fields in the vicinity of the phase-transition. For opticalcoherent quantum solitons, this leads to the prediction that eliminating thepeak side-band noise due to the electronic nonlinearity of silica fiber byspectral filtering leads to the optimal photon-number noise reduction of afundamental soliton.Comment: 10 pages, 5 figure

Phase Transitions and the Internal Noise Structure of Nonlinear Schrödinger Equation Solitons