论文标题
在Mori链的扰动下呈指数抑制的振荡的稳定性
Stability of Exponentially Damped Oscillations under Perturbations of the Mori-Chain
论文作者
论文摘要
有很多证据表明，某些放松动态，例如指数衰减，在本质上比其他人更为普遍。最近，已经尝试将这种优势追溯到普遍的动力学与通用的哈密顿扰动的一定稳定性。在手头的论文中，我们从另一个角度（即递归方法的框架）解决了这个稳定问题。我们研究了各种弛豫动力学的行为，以改变所谓的兰开斯系数的改变。为了遵守“通用运营商的增长假设”，建立了所有被考虑的方案。我们的数值实验表明，在较大的弛豫动力学中存在稳定性，该动力学由指数降低的振荡组成。此外，我们提出了一个标准，以识别导致不常见动态的“病理”扰动。
There is an abundance of evidence that some relaxation dynamics, e.g., exponential decays, are much more common in nature than others. Recently, there have been attempts to trace this dominance back to a certain stability of the prevalent dynamics versus generic Hamiltonian perturbations. In the paper at hand, we tackle this stability issue from yet another angle, namely in the framework of the recursion method. We investigate the behavior of various relaxation dynamics with respect to alterations of the so-called Lanczos coefficients. All considered scenarios are set up in order to comply with the "universal operator growth hypothesis". Our numerical experiments suggest the existence of stability in a larger class of relaxation dynamics consisting of exponentially damped oscillations. Further, we propose a criterion to identify "pathological" perturbations that lead to uncommon dynamics.
