扰动可积格模型中的近似守恒律
Approximate conservation laws in perturbed integrable lattice models
摘要：
我们开发了一个数值算法，用于识别近似守恒量的扰动远离可积模型。在长时间范围内，这些量完全决定了局部观测量的关联函数。将该算法应用于微扰XXZ模型，我们发现微扰的主要作用在于扩大守恒量的支持度。这种扩展遵循二次依赖于扰动的强度。后者的结果与由记忆函数分析得到的守恒量的关联函数一起证实了微扰理论的可行性。
英文摘要：
We develop a numerical algorithm for identifying approximately conserved quantities in models perturbed away from integrability. In the long-time regime, these quantities fully determine correlation functions of local observables. Applying the algorithm to the perturbed XXZ model we find that the main effect of perturbation consists in expanding the support of conserved quantities. This expansion follows quadratic dependence on the strength of perturbation. The latter result together with correlation functions of conserved quantities obtained from the memory function analysis confirm feasibility of the perturbation theory.
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