Gain-Dominated Phase Customization Enables the HybridQuaternary Encoding of Dissipative Soliton Molecules

Soliton molecules constitute a fundamental structure in nonlinear optics, which presents a striking analogy with matter particles. The multiplicity of degrees of freedom endows them with the artificial manipulation of molecular patterns, yielding compelling scenarios toward on-demand harnessing for applied stimuli, in which the molecular phase gradually reveals its remarkable controllability. Here, we report a quaternary encoding scheme relying upon gain-dominated phase customization. Initially, via artificial modulation of laser gain, the deterministic harnessing of the type and velocity of molecular phase evolution is well implemented, in which one phase-oscillating state, one stationary state, and two phase-sliding states with different evolving velocities can be reliably switched to each another. Moreover, taking the four states in different phase regions as the encoding symbols, the hybrid quaternary encoding format is implemented. Due to the distinct characteristics of each phase region, this scheme can facilitate the recognition of the code symbols, therefore possessing high fidelity and high antijamming capability. Particularly, incorporating both type and velocity of molecular phase as characteristics of the code elements endows the hybrid encoding scheme with the potential for dimensional scalability. All of these results experimentally demonstrate the encoding capabilities of relative phase as well as highlight their potential applications in large-capacity all-optical storage and soliton communication.