The interactions of optical solitons in passively mode-locked lasers result in abundant bound states that reflect intriguing nonlinear attractor behaviors in complex dissipative systems. In this study, we tested the strength limits of the fixed-point attractors that govern bound soliton molecule formation in passively mode-locked lasers. To this end, we probed the relative timing jitter in a closely separated stationary doublet soliton molecule produced by a Kerr-lens mode-locked Ti:sapphire laser. By adopting a balanced optical cross-correlation method with a ${5}\;{\rm zs}/\!\sqrt{\vphantom{0}} {\rm Hz}$ temporal resolution, we derive an upper estimate of 60 as intramolecular timing jitter, which is integrated from 100 Hz to the Nyquist frequency (60 MHz). To the best of our knowledge, this is the first evidence for attosecond timing jitter within robust bound solitons in dissipative systems.

中文翻译：

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时间孤子分子中的阿秒定时抖动

光学孤子在被动锁模激光器中的相互作用导致丰富的束缚态，反映出复杂的耗散系统中有趣的非线性吸引子行为。在这项研究中，我们测试了定点吸引子的强度极限，该定点吸引子控制被动锁模激光器中束缚的孤子分子的形成。为此，我们在由Kerr透镜锁模的Ti：蓝宝石激光器产生的紧密分离的固定双态孤子分子中探究了相对定时抖动。通过采用带有$ {5} \; {\ rm zs} / \！\ sqrt {\ vphantom {0}} {\ rm Hz} $的平衡光学互相关方法在时间分辨率上，我们得出分子内定时抖动为60的较高估计值，它是从100 Hz到奈奎斯特频率（60 MHz）积分的。据我们所知，这是耗散系统中稳健束缚孤子内亚秒级定时抖动的第一个证据。