论文标题
脆弱的许多身体
Fragile Many Body Ergodicity
论文作者
论文摘要
弱的不可整合的多体系统可以根据行动空间中的相互作用网络范围来以独特的方式恢复恐怖性。动作将种子混乱动态引起网络。远距离网络提供了良好的连接共振，并由各个共振混乱时间尺度控制的构造化。相反，短距离网络在动作空间中产生了巨大的降低，并导致罕见的共振扩散。我们将约瑟夫森连接链用作范式研究案例。我们利用有限的时间平均分布来表征动作的热动力学。我们确定了一种新型的动作共振扩散制度，负责减慢速度。我们提取该缓慢过程的扩散系数，并衡量其对邻近限制的依赖性。相关函数的独立度量确认了我们的发现。观察到的脆弱扩散依赖于空间分离的作用共振中的弱混沌动力学。可以通过添加弱的动作噪声作为概念证明来抑制它，并通过添加弱的动作噪声来延迟。
Weakly nonintegrable many-body systems can restore ergodicity in distinctive ways depending on the range of the interaction network in action space. Action resonances seed chaotic dynamics into the networks. Long range networks provide well connected resonances with ergodization controlled by the individual resonance chaos time scales. Short range networks instead yield a dramatic slowing down of ergodization in action space, and lead to rare resonance diffusion. We use Josephson junction chains as a paradigmatic study case. We exploit finite time average distributions to characterize the thermalizing dynamics of actions. We identify a novel action resonance diffusion regime responsible for the slowing down. We extract the diffusion coefficient of that slow process and measure its dependence on the proximity to the integrable limit. Independent measures of correlation functions confirm our findings. The observed fragile diffusion is relying on weakly chaotic dynamics in spatially isolated action resonances. It can be suppressed, and ergodization delayed, by adding weak action noise, as a proof of concept.
