Spectral statistics in an open parametric billiard system

被引：31
作者：
Dietz, B
Heine, A
Richter, A
Bohigas, O
Leboeuf, P
机构：
[1] Tech Univ Darmstadt, Inst Kernphys, D-64289 Darmstadt, Germany
[2] Univ Paris 11, Lab Phys Theor & Modeles Stat, F-91405 Orsay, France
来源：
PHYSICAL REVIEW E | 2006年 / 73卷 / 03期
关键词：
D O I：
10.1103/PhysRevE.73.035201
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：
We present experimental results on the eigenfrequency statistics of a superconducting, chaotic microwave billiard containing a rotatable obstacle. Deviations of the spectral fluctuations from predictions based on Gaussian orthogonal ensembles of random matrices are found. They are explained by treating the billiard as an open scattering system in which microwave power is coupled in and out via antennas. To study the interaction of the quantum (or wave) system with its environment, a highly sensitive parametric correlator is used.
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相关论文
共 49 条
[1]   S-matrix, resonances, and wave functions for transport through billiards with leads [J].
Albeverio, S ;
Haake, F ;
Kurasov, P ;
Kus, M ;
Seba, P .
JOURNAL OF MATHEMATICAL PHYSICS, 1996, 37 (10) :4888-4903
[2]   GAUSSIAN RANDOM-MATRIX PROCESS AND UNIVERSAL PARAMETRIC CORRELATIONS IN COMPLEX-SYSTEMS [J].
ATTIAS, H ;
ALHASSID, Y .
PHYSICAL REVIEW E, 1995, 52 (05) :4776-4792
[3]   Measurement of parametric correlations in spectra of resonating quartz blocks [J].
Bertelsen, P ;
Ellegaard, C ;
Guhr, T ;
Oxborrow, M ;
Schaadt, K .
PHYSICAL REVIEW LETTERS, 1999, 83 (11) :2171-2174
[4]   Arithmetical chaos [J].
Bogomolny, EB ;
Georgeot, B ;
Giannoni, MJ ;
Schmit, C .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1997, 291 (5-6) :219-324
[5]   CHARACTERIZATION OF CHAOTIC QUANTUM SPECTRA AND UNIVERSALITY OF LEVEL FLUCTUATION LAWS [J].
BOHIGAS, O ;
GIANNONI, MJ ;
SCHMIT, C .
PHYSICAL REVIEW LETTERS, 1984, 52 (01) :1-4
[6]  
Bohigas O., 1991, CHAOS QUANTUM PHYS
[7]   RANDOM-MATRIX PHYSICS - SPECTRUM AND STRENGTH FLUCTUATIONS [J].
BRODY, TA ;
FLORES, J ;
FRENCH, JB ;
MELLO, PA ;
PANDEY, A ;
WONG, SSM .
REVIEWS OF MODERN PHYSICS, 1981, 53 (03) :385-479
[8]   Distribution of resonance strengths in microwave billiards of mixed and chaotic dynamics -: art. no. 046202 [J].
Dembowski, C ;
Dietz, B ;
Friedrich, T ;
Gräf, HD ;
Harney, HL ;
Heine, A ;
Miski-Oglu, M ;
Richter, A .
PHYSICAL REVIEW E, 2005, 71 (04)
[9]   Phase shift experiments identifying Kramers doublets in a chaotic superconducting microwave billiard of threefold symmetry -: art. no. 014102 [J].
Dembowski, C ;
Dietz, B ;
Gräf, HD ;
Heine, A ;
Leyvraz, F ;
Miski-Oglu, M ;
Richter, A ;
Seligman, TH .
PHYSICAL REVIEW LETTERS, 2003, 90 (01) :4
[10]   Experimental observation of the topological structure of exceptional points [J].
Dembowski, C ;
Gräf, HD ;
Harney, HL ;
Heine, A ;
Heiss, WD ;
Rehfeld, H ;
Richter, A .
PHYSICAL REVIEW LETTERS, 2001, 86 (05) :787-790
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