Composed ensembles of random unitary matrices

作者: Marek Kus , Karol Zyczkowski , Marcin Pozniak

DOI: 10.1088/0305-4470/31/3/016

关键词:

摘要: Composed ensembles of random unitary matrices are defined via products matrices, each pertaining to a given canonical circular ensemble Dyson. We investigate statistical properties spectra some composed and demonstrate their physical relevance. also discuss the methods generating distributed according invariant Haar measure on orthogonal group.

参考文章(24)
W.-H. Steeb, J. A. Louw, Chaos and quantum chaos ,(1986)
Fritz Haake, Quantum signatures of chaos ,(1991)
P. Leboeuf, J. Kurchan, M. Feingold, D. P. Arovas, Phase-space localization: Topological aspects of quantum chaos Physical Review Letters. ,vol. 65, pp. 3076- 3079 ,(1990) , 10.1103/PHYSREVLETT.65.3076
Felix M. Izrailev, Simple models of quantum chaos: Spectrum and eigenfunctions Physics Reports. ,vol. 196, pp. 299- 392 ,(1990) , 10.1016/0370-1573(90)90067-C
R. Blümel, U. Smilansky, Classical irregular scattering and its quantum-mechanical implications Physical Review Letters. ,vol. 60, pp. 477- 480 ,(1988) , 10.1103/PHYSREVLETT.60.477
Rodolfo A. Jalabert, Jean-Louis Pichard, Quantum Mesoscopic Scattering: Disordered Systems and Dyson Circular Ensembles Journal De Physique I. ,vol. 5, pp. 287- 324 ,(1995) , 10.1051/JP1:1995128
N.L. Balazs, A. Voros, The quantized Baker's transformation Annals of Physics. ,vol. 190, pp. 1- 31 ,(1989) , 10.1016/0003-4916(89)90259-5
Pier A Mello, Pedro Pereyra, Thomas H Seligman, Information theory and statistical nuclear reactions. I. General theory and applications to few-channel problems Annals of Physics. ,vol. 161, pp. 254- 275 ,(1985) , 10.1016/0003-4916(85)90080-6
Karol Życzkowski, Marek Kuś, Interpolating ensembles of random unitary matrices. Physical Review E. ,vol. 53, pp. 319- 326 ,(1996) , 10.1103/PHYSREVE.53.319
Karol Życzkowski, Marek Kuś, Random unitary matrices Journal of Physics A. ,vol. 27, pp. 4235- 4245 ,(1994) , 10.1088/0305-4470/27/12/028