Universal properties of two-port scattering, impedance, and admittance matrices of wave-chaotic systems

作     者：Sameer Hemmady Xing Zheng James Hart Thomas M. Antonsen, Jr. Edward Ott Steven M. Anlage 

作者机构：Department of Physics University of Maryland College Park Maryland 20742-4111 USA Department of Electrical and Computer Engineering University of Maryland College Park Maryland 20742-3285 USA Institute for Research in Electronics and Applied Physics University of Maryland College Park Maryland 20742-3511 USA Center for Superconductivity Research University of Maryland College Park Maryland 20742-4111 USA Department of Physics George Washington University Washington DC 20052 USA 

出 版 物：《Physical Review E》 (物理学评论E辑：统计、非线性和软体物理学)

年 卷 期：2006年第74卷第3期

页      面：036213-036213页

核心收录：

学科分类：07[理学] 070203[理学-原子与分子物理] 0702[理学-物理学] 

主　　题：TIME-REVERSAL SYMMETRY QUANTUM DOTS MICROWAVE CAVITIES CONDUCTANCEFLUCTUATIONS STATISTICAL PROPERTIES SPECTRAL STATISTICS NUCLEAR-REACTIONS ERGODIC BEHAVIOR PHASE BREAKING TRANSPORT 

摘      要：Statistical fluctuations in the eigenvalues of the scattering, impedance, and admittance matrices of two-port wave-chaotic systems are studied experimentally using a chaotic microwave cavity. These fluctuations are universal in that their properties are dependent only upon the degree of loss in the cavity. We remove the direct processes introduced by the nonideally coupled driving ports through a matrix normalization process that involves the radiation-impedance matrix of the two driving ports. We find good agreement between the experimentally obtained marginal probability density functions (PDFs) of the eigenvalues of the normalized impedance, admittance, and scattering matrix and those from random matrix theory (RMT). We also experimentally study the evolution of the joint PDF of the eigenphases of the normalized scattering matrix as a function of loss. Experimental agreement with the theory by Brouwer and Beenakker for the joint PDF of the magnitude of the eigenvalues of the normalized scattering matrix is also shown.