Markovian behaviour and constrained maximization of the entropy in chaotic quantum systems

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

Volumn 313, Issue 5-6, 2003, Pages 325-329

  Romanelli, A ^a   Sicardi Schifino, A C ^a   Abal, G ^a   Siri, R ^a   Donangelo, R ^b  

^a UNIVERSIDAD DE LA REPÚBLICA   (Uruguay)

^b FEDERAL UNIVERSITY OF RIO DE JANEIRO   (Brazil)

Author keywords

Dynamical localization; Kicked rotor; Markovian process

Indexed keywords

CHAOTIC SYSTEMS; QUANTUM OPTICS;

DINGER EQUATION; DYNAMICAL LOCALIZATION; INTERFERENCE TERMS; KICKED ROTORS; MARKOVIAN; MARKOVIAN PROCESS; QUANTUM DYNAMICS; QUANTUM SYSTEM;

ENTROPY;

ARTICLE; CHAOTIC DYNAMICS; CHEMICAL REACTION KINETICS; DIFFUSION; ENTROPY; MATHEMATICAL ANALYSIS; MOLECULAR DYNAMICS; PROBABILITY; QUANTUM MECHANICS;

EID: 0038787791     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0375-9601(03)00768-0     Document Type: Article

References (16)

1. M.A. Nielsen, I.L. Chuang. Quantum Computation and Quantum Information. Cambridge Univ. Press, Cambridge, 2000.
2. S. Habib, K. Shizume, W.H. Zurek, Phys. Rev. Lett. 80 (1998) 4361; W.H. Zurek, J.P. Paz, Phys. Rev. Lett. 72 (1994) 2508; J.P. Paz, S. Habib, W.H. Zurek, Phys. Rev. D 47 (1993) 488; W. Zurek, Phys. Today 44 (10) (1991) 36.
3. S. Habib, K. Shizume, W.H. Zurek, Phys. Rev. Lett. 80 (1998) 4361; W.H. Zurek, J.P. Paz, Phys. Rev. Lett. 72 (1994) 2508; J.P. Paz, S. Habib, W.H. Zurek, Phys. Rev. D 47 (1993) 488; W. Zurek, Phys. Today 44 (10) (1991) 36.
4. S. Habib, K. Shizume, W.H. Zurek, Phys. Rev. Lett. 80 (1998) 4361; W.H. Zurek, J.P. Paz, Phys. Rev. Lett. 72 (1994) 2508; J.P. Paz, S. Habib, W.H. Zurek, Phys. Rev. D 47 (1993) 488; W. Zurek, Phys. Today 44 (10) (1991) 36.
5. S. Habib, K. Shizume, W.H. Zurek, Phys. Rev. Lett. 80 (1998) 4361; W.H. Zurek, J.P. Paz, Phys. Rev. Lett. 72 (1994) 2508; J.P. Paz, S. Habib, W.H. Zurek, Phys. Rev. D 47 (1993) 488; W. Zurek, Phys. Today 44 (10) (1991) 36.
6. S.R. Jain, Phys. Rev. Lett. 70 (1993) 3553; S.R. Jain, Nucl. Phys. A 673 (2000) 423.
7. S.R. Jain, Phys. Rev. Lett. 70 (1993) 3553; S.R. Jain, Nucl. Phys. A 673 (2000) 423.
8. M. Feingold, A. Peres. Phys. Rev. A 34 (1986) 591.
9. G. Abal, R. Donangelo, A. Romanelli, A.C. Sicardi Schifino, R. Siri, Phys. Rev. E 65 (2002) 046236.
10. N.G. van Kampen, Stochastic Processes in Physics and Chemistry, North-Holland, Amsterdam, 1981.
11. R. Alicki, M. Fannes, Lett. Math. Phys. 32 (1994) 75.
12. H. Haken, Synergetics-An Introduction, Springer-Verlag, Berlin, 1983.
13. G. Casati, B.V. Chirikov, F.M. Izrailev, J. Ford, in: Lecture Notes in Physics, Vol. 93, Springer-Verlag, Berlin, 1979, p. 334.
14. F.M. Izrailev, Phys. Rep. 196 (1990) 299.
15. F.L. Moore, J.C. Robinson, C. Bharucha, B. Sundaram, M.G. Raizen, Phys. Rev. Lett. 75 (1995) 4598; F.L. Moore, J.C. Robinson, C.F. Bharucha, P.E. Williams, M.G. Raizen, Phys. Rev. Lett. 73 (1994) 2974.
16. F.L. Moore, J.C. Robinson, C. Bharucha, B. Sundaram, M.G. Raizen, Phys. Rev. Lett. 75 (1995) 4598; F.L. Moore, J.C. Robinson, C.F. Bharucha, P.E. Williams, M.G. Raizen, Phys. Rev. Lett. 73 (1994) 2974.