Quantum chaotic scattering in microwave resonators

被引：83

作者：

Dietz, B. ^{[1
]}

Friedrich, T. ^{[1
,2
]}

Harney, H. L. ^{[3
]}

Miski-Oglu, M. ^{[1
]}

Richter, A. ^{[1
,4
]}

Schafer, F. ^{[1
]}

Weidenmueller, H. A. ^{[3
]}

机构：

[1] Tech Univ Darmstadt, Inst Kernphys, D-64289 Darmstadt, Germany

[2] GSI Helmholzzentrum Schwerionenforsch GmbH, D-64291 Darmstadt, Germany

[3] Max Planck Inst Kernphys, D-69029 Heidelberg, Germany

[4] ECT, I-38100 Villazzano, Trento, Italy

来源：

PHYSICAL REVIEW E | 2010年 / 81卷 / 03期

关键词：

TIME-REVERSAL SYMMETRY; MATRIX-ELEMENTS; S-MATRIX; GRASSMANN INTEGRATION; PERSISTENT CURRENTS; WEAK-LOCALIZATION; DETAILED BALANCE; CROSS-SECTIONS; FLUCTUATIONS; BILLIARDS;

D O I：

10.1103/PhysRevE.81.036205

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

In a frequency range where a microwave resonator simulates a chaotic quantum billiard, we have measured moduli and phases of reflection and transmission amplitudes in the regimes of both isolated and of weakly overlapping resonances and for resonators with and without time-reversal invariance. Statistical measures for S-matrix fluctuations were determined from the data and compared with extant and/or newly derived theoretical results obtained from the random-matrix approach to quantum chaotic scattering. The latter contained a small number of fit parameters. The large data sets taken made it possible to test the theoretical expressions with unprecedented accuracy. The theory is confirmed by both a goodness-of-fit-test and the agreement of predicted values for those statistical measures that were not used for the fits, with the data.

引用

页数：18

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