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We present an experimental study of the hysteretic behavior of an Yb mode-locked fiber laser (MLFL) in a multi-pulsing regime. Our main focus is on the internal nonlinear transmission curve of the laser, which is fundamental to obtain the mode-locking regime. We have also observed hysteresis in the temporal separation between dispersive bound solitons. These results have been interpreted in terms of the negative and positive feedback and the redistribution of the solitons energy.

We report experimental measurements of structural soliton pairs in a mode-locked Yb-doped fiber laser. The quantization of the temporal separation and relative phase between the pair of dissipative solitons is clearly observed and, most interestingly, the transitions between different states as the pump power is varied show abrupt jumps. This is a clear signature of the discrete nature of the stable pair states. The typical separations are of the order of 1 ps and the separation changes are of the order of 100 fs, while the relative phase of the pulses jumps between π/2 → π/4 → π/2 as the pump power is increased.