Transient multi-soliton dynamics between adjacent-order harmonic mode-locking states in a hybrid mode-locked fiber laser

The buildup dynamics from noise-seeded relaxation oscillation to harmonic mode-locking (HML) solitons generation have been well investigated in ultrafast fiber lasers. However, the transient multi-soliton dynamics in higher-order HML states are still attractive yet largely unexplored. We reveal here that, the experimental observation of the multi-soliton dynamics including soliton beating dynamics, soliton annihilation, transient bound state, two-soliton resonance state, soliton splitting, and multi-soliton repulsion dynamics are analyzed by the emerging time-stretched dispersive Fourier transform (TS-DFT) technique. Particularly, the excessive intracavity energy result in the double-pulse pulsating with transient bound states and three types of soliton molecules states can be observed in the earlier and middle part of the transition process. Numerical results further reveal that several similar multi-soliton dynamics operating at stable 2nd and 3rd states could be caused by a fine tuning of the pump power level in a hybrid mode-locked laser. Our results unveil a diverse set of ultrafast transient process in fiber lasers, and open up new ways into obtaining and controlling the generation of high-repetition-rate ultrashort pulses in fiber lasers.