Dissipative Kerr soliton offers broadband coherent and low-noise frequency comb and stable temporal pulse train, having shown great potential applications in spectroscopy, communications, and metrology. Breathing soliton is a particular dissipative Kerr soliton that the pulse duration and peak intensity show periodic oscillation. However, the noise and stability of the breathing soliton is still remaining unexplored, which would be the main obstacle for future applications. Here, we have investigated the breathing dissipative Kerr solitons in the silicon nitride (SiN) microrings, while the breather period shows uncertainties around MHz in both simulation and experiments. By applying a modulated pump, the breathing frequency can be injectively locked to the modulation and tuned over tens of MHz with frequency noise significantly suppressed. Our demonstration offers an alternative knob for the controlling of soliton dynamics in microresonator and paves a new avenue towards practical applications of breathing soliton.

中文翻译：

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Si₃N₄微谐振器中呼吸孤子的频率稳定和调谐

耗散克尔孤子提供宽带相干和低噪声频率梳和稳定的时间脉冲序列，在光谱学、通信和计量学中显示出巨大的潜在应用。呼吸孤子是一种特殊的耗散克尔孤子，其脉冲持续时间和峰值强度呈现周期性振荡。然而，呼吸孤子的噪声和稳定性仍有待探索，这将是未来应用的主要障碍。在这里，我们研究了氮化硅 (SiN) 微环中的呼吸耗散克尔孤子，而呼吸周期在模拟和实验中都显示出在 MHz 附近的不确定性。通过应用调制泵，呼吸频率可以被注入锁定到调制并在数十 MHz 上调谐，并且频率噪声被显着抑制。