Sensitivity of energy eigenstates to perturbation in quantum integrable and chaotic systems

• 作 者: Zao Xu Yin-Chenguang Lyu Jiaozi Wang Wen-Ge Wang
• 机 构: Department of Modern Physics,University of Science and Technology of China,Hefei 230026,China;CAS Ke
• 出 处: 理论物理通讯（英文版）
• 发表日期: 2021年1期
• 关键词: quantum chaos sensitivity to perturbation energy eigenstates statistics

We study the sensitivity of energy eigenstates to small perturbation in quantum integrable and chaotic systems.It is shown that the distribution of rescaled components of perturbed states in unperturbed basis exhibits qualitative difference in these two types of systems:being close to the Gaussian form in quantum chaotic systems,while,far from the Gaussian form in integrable systems.