耗散克尔孤子相互作用的逆重建
Inverse reconstruction of dissipative Kerr soliton interactions
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- The University of Sydney（悉尼大学）
- University of Auckland（奥克兰大学）
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中文总结 AI 辅助
本文从孤子晶体的线性稳定性谱重建耗散克尔孤子间的两两相互作用势，提出软孤子晶体新状态，并解释孤子台阶现象。
中文摘要 AI 辅助
我们从Lugiato--Lefever方程的完美孤子晶体解的线性稳定性谱中重建了耗散克尔孤子之间的两两相互作用势。孤子形成过阻尼晶格，其位置特征值编码了两两力导数，这类似于凝聚态系统中从声子或弛豫谱提取微观相互作用的方法。该方法超越了二次色散，且不假设相互作用的函数形式。我们的理论预测了一种新状态——软孤子晶体，它具有消失的刚度和发散的位置弛豫时间，并解释了实验观察到的孤子台阶源于两两力导数的符号反转。
英文摘要
We reconstruct the pairwise interaction potential between dissipative Kerr solitons from the linear stability spectrum of a perfect soliton crystal solution of the Lugiato--Lefever equation. The solitons form an overdamped lattice whose positional eigenvalues encode the pairwise-force derivative, mirroring the extraction of microscopic interactions from phonon or relaxation spectra in condensed-matter systems. The method extends beyond quadratic dispersion and assumes no functional form for the interaction. Our theory predicts a novel state -the soft soliton crystal- which has vanishing stiffness and a diverging positional relaxation time, and also explains experimentally observed soliton steps as arising from a sign reversal of the pairwise-force derivative.
