Dynamical manifestation of quantum chaos: Density matrix fluctuations in subsystems

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

Volumn 318, Issue 1-2, 2003, Pages 6-14

  Lahiri, Avijit ^a   Nag, Sankhasubhra ^b  

^a Vidyasagar Metropolitan College   (India)

^b SAHA INSTITUTE OF NUCLEAR PHYSICS   (India)

Author keywords

Entropy; Quantum chaos; Reduced density matrix

Indexed keywords

ENTROPY;

DENSITY MATRIX; HAMILTONIAN MATRIX ELEMENTS; NUMERICAL EVIDENCE; QUANTUM CHAOS; QUANTUM SYSTEM; REDUCED-DENSITY MATRIX; SPIN SYSTEMS;

QUANTUM OPTICS;

ARTICLE; CORRELATION ANALYSIS; DENSITY; ENTROPY; MATHEMATICAL ANALYSIS; MOLECULAR DYNAMICS; MOLECULAR INTERACTION; MOLECULAR MECHANICS; OSCILLATION; PHYSICS; QUANTUM MECHANICS; QUANTUM THEORY;

EID: 0242350141     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2003.09.009     Document Type: Article

References (36)

1. F. Haake, Quantum Signatures of Chaos, Springer, Berlin, 2001.
2. H. Stockmann, Quantum Chaos, An Introduction, Cambridge Univ. Press, Cambridge, 1999.
3. G. Casati, B. Chirikov (Eds.), Quantum Chaos: Between Order and Disorder, Cambridge Univ. Press, Cambridge, 1995.
4. G. Casati, B.V. Chirikov, J. Ford, F.M. Izrailev, in: Lecture Notes in Physics, Vol. 93, 1979, p. 334.
5. S. Tomsovic, E.J. Heller, Phys. Rev. E 47 (1993) 282.
6. S. Fishman, D.R. Grempel, R.E. Prange, Phys. Rev. A 36 (1987) 289.
7. A. Peres, Phys. Rev. A 30 (1984) 1610.
8. J. Emerson, Y.M. Weinstein, S. Lloyd, D.G. Cory, quant-ph/0207099.
9. Y.S. Weinstein, C. Tsallis, S. Lloyd, quant-ph/0305086.
10. J. Vanicek, E.J. Heller, quant-ph/0302192.
11. K.S. Ikeda, in Ref. [4], 1995, p. 147.
12. M. Sakagami, Prog. Theor. Phys. Suppl. 116 (1994) 393.
13. P.A. Miller, S. Sarkar, Nonlinearity 12 (1999) 419.
14. S. Nag, A. Lahiri, G. Ghosh, Phys. Lett. A 292 (2001) 43.
15. R. Graham, M. Hohnerbach, Z. Phys. B: Condens. Matter 57 (1984) 233.
16. A. Lahiri, quant-ph/0302029.
17. J.N. Bandyopadhyay, A. Lakshminarayan, Phys. Rev. Lett. 89 (2002) 060402.
18. A. Lakshminarayan, quant-ph/0212049.
19. R. Sankaranarayanan, A. Lakshminarayan, V.B. Sheorey, Phys. Rev. E 64 (2001) 046210.
20. B. Georgeot, D.L. Shepelyansky, Phys. Rev. E 62 (2000) 3504; B. Georgeot, D.L. Shepelyansky, Phys. Rev. E 62 (2000) 6366.
21. B. Georgeot, D.L. Shepelyansky, Phys. Rev. E 62 (2000) 3504; B. Georgeot, D.L. Shepelyansky, Phys. Rev. E 62 (2000) 6366.
22. K. Furuya, M.C. Nemes, G.Q. Pelligrino, Phys. Rev Lett. 80 (1998) 5524.
23. P.A. Miller, S. Sarkar, Phys. Rev. E 60 (1999) 1542.
24. A. Lakshminarayan, Phys. Rev. E 64 (2001) 036207.
25. M.A. Nielsen, I.L. Chuang, Quantum Computation and Quantum Information, Cambridge Univ. Press, Cambridge, 2000.
26. R. Alicki, M. Fannes, Quantum Dynamical Systems, Oxford Univ. Press, Oxford, 2001.
27. A. Wehrl, Rev. Mod. Phys. 50 (1978) 221.
28. K. Zyczkowski, H.J. Sommers, J. Phys. A: Math. Gen. 34 (2001) 7111.
29. D.N. Page, Phys. Rev. Lett. 71 (1993) 1291.
30. I. Dana, Phys. Rev. E 52 (1995) 466.
31. M. Feingold, A. Peres, Phys. Rev. A 34 (1986) 591.
32. T.A. Brody, J. Floris, J.B. French, P.A. Mello, A. Pandey, S.S.M. Wong, Rev. Mod. Phys. 53 (1981) 385.
33. Y. Shimizu, A. Shudo, Prog. Theor. Phys. Suppl. 116 (1994) 270.
34. F. Haake, M. Kus, R. Scharf, Z. Phys. B 65 (1987) 381.
35. M. Kus, J. Mostowski, F. Haake, J. Phys. A: Math. Gen. 21 (1988) L1073.
36. F. Haake, K. Zyczkowski, Phys. Rev. A 42 (1990) 1013.