论文标题
用一系列独立的扰动探索可集成性 - chaos转变
Exploring integrability-chaos transition with a sequence of independent perturbations
论文作者
论文摘要
相互作用颗粒的气体是混沌系统的范式例子。这里显示的是，即使除一个粒子以外的所有粒子都固定在通用位置上，但移动粒子的激发态也是混乱的。它们的特征是主成分的数量（NPC） - 不可融合涉及的集成系统本征态的数量与强散射器的数量线性增加。该规则是额外扰动对系统混乱特性的一般影响的特殊情况。扰动独立性标准认为系统混沌性增加也是在这里得出的。可以在使用光子或冷原子的实验中观察到这种效果，这是可观察到的波动差异的衰减，该衰减与NPC成反比，因此与散射器数量成反比。该衰变表明接近特征态热化。结果通过沿其轴零范围散射器的谐波指导的数值计算证实了结果。
A gas of interacting particles is a paradigmatic example of chaotic systems. It is shown here that even if all but one particle are fixed in generic positions, the excited states of the moving particle are chaotic. They are characterized by the number of principal components (NPC) -- the number of integrable system eigenstates involved into the non-integrable one, which increases linearly with the number of strong scatterers. This rule is a particular case of the general effect of an additional perturbation on the system chaotic properties. The perturbation independence criteria supposing the system chaoticity increase are derived here as well. The effect can be observed in experiments with photons or cold atoms as the decay of observable fluctuation variance, which is inversely proportional to NPC, and, therefore, to the number of scatterers. This decay indicates that the eigenstate thermalization is approached. The results are confirmed by numerical calculations for a harmonic waveguide with zero-range scatterers along its axis.
