Institute of Particle and Nuclear Physics, Faculty of Mathematics and Physics, Charles University, V Holešovičkách 2, 18000 Prague, Czech Republic.
Phys Rev E. 2019 Oct;100(4-1):042119. doi: 10.1103/PhysRevE.100.042119.
We study the effect of superradiance in open quantum systems, i.e., the separation of short- and long-living eigenstates when a certain subspace of states in the Hilbert space acquires an increasing decay width. We use several Hamiltonian forms of the initial closed system and generate their coupling to continuum by means of the random matrix theory. We average the results over a large number of statistical realizations of an effective non-Hermitian Hamiltonian and relate robust features of the superradiance process to the distribution of its exceptional points. We show that the superradiance effect is enhanced if the initial system is at the point of quantum criticality.
我们研究了在开放量子系统中，即当希尔伯特空间中的某个子空间的状态获得越来越大的衰减宽度时，短寿命和长寿命本征态的分离的超辐射效应。我们使用初始封闭系统的几种哈密顿形式，并通过随机矩阵理论生成它们与连续统的耦合。我们对有效非厄米哈密顿量的大量统计实现的结果进行平均，并将超辐射过程的稳健特征与其异常点的分布联系起来。我们表明，如果初始系统处于量子临界点，则超辐射效应会增强。
