论文标题
在费米 - 帕斯塔 - 乌拉姆 - tsingou复发过程中弱阻尼引起的多个对称破坏过程
Multiple symmetry breaking induced by weak damping in the Fermi-Pasta-Ulam-Tsingou recurrence process
论文作者
论文摘要
我们表明,即使是小的耗散也会强烈影响费米 - 帕斯塔 - 乌拉姆 - - tsingou复发现象。以模量不稳定性的完全非线性阶段为实验可访问的例子,我们表明线性衰减会导致复发的对称性,该复发是通过分离式交叉裂解的衰减的多个临界值。我们在设计的光纤实验中为这种现象提供了实验证据,以使有效损失可以通过基于拉曼扩增的技术仔细量身定制。
We show that even small dissipation can strongly affect the Fermi-Pasta-Ulam-Tsingou recurrence phenomenon. Taking the fully nonlinear stage of modulational instability as an experimentally accessible example, we show that the linear attenuation induces the symmetry of the recurrence to be broken through separatrix crossing occurring at multiple critical values of the attenuation. We provide experimental evidence for this phenomenon in a fiber optics experiment designed in such a way that the effective losses can be carefully tailored by techniques based on Raman amplification.