Quantum correlations from Brownian diffusion of chaotic level-spacings

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 334, Issue 5-6, 2005, Pages 331-336

  Evangelou, S N ^a   Katsanos, D E ^a  

^a UNIVERSITY OF IOANNINA   (Greece)

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; QUANTUM THEORY;

BROWNIAN DIFFUSION; GAUSS STATISTICS; INTEGRABILITY; QUANTUM CORRELATIONS; QUANTUM ENERGY LEVELS; RIEMANN ZETA FUNCTIONS; SPECTRAL CORRELATION; TIGHT BINDING;

BROWNIAN MOVEMENT;

ARTICLE; CORRELATION ANALYSIS; DIFFUSION; ENERGY; MATHEMATICAL COMPUTING; QUANTUM THEORY; STATISTICS;

EID: 11844292825     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2004.11.054     Document Type: Article

References (18)

1. M.V. Berry, and M. Tabor Proc. R. Soc. London A 356 1977 375
2. M.V. Berry Ann. Phys. (N.Y.) 131 1981 163
3. O. Bohigas, M.J. Giannoni, and C. Schmit Phys. Rev. Lett. 52 1984 1
4. T. Guhr, A. Müller-Groeling, and H.A. Weidenmüller Phys. Rep. 299 1998 189
5. H.J. Stöckmann Quantum Chaos 1999 Cambridge Univ. Press Cambridge
6. F. Haake Quantum Signatures of Chaos 2001 Springer-Verlag Berlin
7. V. Milner, J.L. Hanssen, W.C. Campbell, and M.G. Raizen Phys. Rev. Lett. 86 2001 1514
8. N. Friedman, A. Kaplan, D. Carasso, and N. Davidson Phys. Rev. Lett. 86 2001 1518
9. For the interplay between entanglement and quantum chaos see J.N. Bandyopadhyay, and A. Lakshminarayan Phys. Rev. Lett. 89 2002 060402 and references therein
10. M.A. Nielsen, and I.L. Chuang Quantum Computation and Quantum Information 2000 Cambridge Univ. Press Cambridge
11. A. Relaño, J.M.G. Gómez, R.A. Molina, J. Retamosa, and E. Faleiro Phys. Rev. Lett. 89 2002 244102
12. M.V. Berry J. Phys. A: Math. Gen. 29 1996 6617
13. B.B. Mandelbrot Multifractals and 1 / f Noise 1999 Springer New York
14. B.B. Mandelbrot, and J.W. Van Ness SIAM Rev. 10 1968 422
15. B. Kaulakys, and T. Meškauskas Microelectron. Reliab. 40 2000 1787 cond-mat/0305067 and references therein
16. S.N. Evangelou, and J.-L. Pichard Phys. Rev. Lett. 84 2000 1643
17. Non-trivial Riemann zeroes are taken from tables in http://www.dtc.umn. edu/~odlyzko/doc/zeta.html, see A.M. Odlysko Math. Comp. 48 1987 273
18. O. Bohigas, P. Leboeuf, and M.J. Sánchez Found. Phys. 31 2001 489 nlin.CD/0012049