Mehlig B, Santer M
Theoretische Quantendynamik, Institut für Physik, Albert-Ludwigs Universität Freiburg, Freiburg, Germany.
Phys Rev E Stat Nonlin Soft Matter Phys. 2001 Feb;63(2 Pt 1):020105. doi: 10.1103/PhysRevE.63.020105. Epub 2001 Jan 25.
We calculate eigenvector statistics in an ensemble of non-Hermitian matrices describing open quantum systems [F. Haake et al., Z. Phys. B 88, 359 (1992)] in the limit of large matrix size. We show that ensemble-averaged eigenvector correlations corresponding to eigenvalues in the center of the support of the density of states in the complex plane are described by an expression recently derived for Ginibre's ensemble of random non-Hermitian matrices.
我们在描述开放量子系统的非厄米矩阵系综中计算本征向量统计量[F. 哈克等人,《物理学报B》88, 359 (1992)],取矩阵规模很大时的极限情况。我们表明,与复平面中态密度支撑中心的本征值相对应的系综平均本征向量关联,由最近针对吉尼贝随机非厄米矩阵系综推导得出的一个表达式描述。