论文标题

典型的扰动理论:与介质病例的条件,准确性和比较

Typical perturbation theory: conditions, accuracy and comparison with a mesoscopic case

论文作者

Lamann, Mats H., Gemmer, Jochen

论文摘要

基于参考文献中引入的典型性的扰动理论。 [1]并进一步完善了参考。 [2,3]提供了一个功能强大的工具,因为它旨在适用于广泛的方案,同时仅依靠几个参数。即使作者提出了各种示例以证明理论的有效性,但通常未彻底检查其推导中使用的条件。有人认为,这是合理的(没有分析推理),理论的鲁棒性。在手头的论文中,对三种基于自旋的模型进行了扰动理论的测试。以下标准被重点放在:实现条件,预测动力学的准确性以及结果相对于介质病例的相关性。

The perturbation theory based on typicality introduced in Ref. [1] and further refined in Refs. [2, 3] provides a powerful tool since it is intended to be applicable to a wide range of scenarios while relying only on a few parameters. Even though the authors present various examples to demonstrate the effectiveness of the theory, the conditions used in its derivation are often not thoroughly checked. It is argued that this is justified (without analytical reasoning) by the robustness of the theory. In the paper at hand, said perturbation theory is tested on three spin-based models. The following criteria are taken into focus: the fulfillment of the conditions, the accuracy of the predicted dynamics and the relevance of the results with respect to a mesoscopic case.

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