论文标题
弱的可集成性破坏：在连贯扩散中具有可合可签名的混乱
Weak integrability breaking: chaos with integrability signature in coherent diffusion
论文作者
论文摘要
我们研究扰动如何影响可整合的多体量子系统的动力学，从而导致从集成性转变为混乱。查看杂质的海森伯格链中的自旋传输，我们发现在热力学极限中，传输已经在无穷小的扰动下扩散。因此，较小的广泛扰动会导致从整合性到混乱的立即过渡。然而，在扩散常数对杂质密度的依赖性中编码的集成性残留，即，在较小的密度下，它与逆密度的平方根成正比，而不是与Matthiessen统治的逆密度相对。我们表明，必须在非焊接系统中修改Matthiessen的规则。结果还强调了在单个杂质上相互作用散射的非平凡作用，并且在某些方案中增加了更多杂质可以增加运输。
We study how perturbations affect dynamics of integrable many-body quantum systems, causing transition from integrability to chaos. Looking at spin transport in the Heisenberg chain with impurities we find that in the thermodynamic limit transport gets diffusive already at an infinitesimal perturbation. Small extensive perturbations therefore cause an immediate transition from integrability to chaos. Nevertheless, there is a remnant of integrability encoded in the dependence of the diffusion constant on the impurity density, namely, at small densities it is proportional to the square root of the inverse density, instead of to the inverse density as would follow from Matthiessen's rule. We show that Matthiessen's rule has to be modified in non-ballistic systems. Results also highlight a nontrivial role of interacting scattering on a single impurity, and that there is a regime where adding more impurities can actually increase transport.
