An analytical relation between entropy production and quantum Lyapunov exponents for Gaussian bipartite systems

Journal of Physics A: Mathematical and Theoretical

Volumn 41, Issue 11, 2008, Pages

  Romero, K M Fonseca ^a,b   Parreira, Júlia E ^c   Souza, L A M ^c   Nemes, M C ^b,c   Wreszinski, W ^b  

^a Facultad de Ciencias   (Colombia)

^b UNIVERSITY OF SÃO PAULO   (Brazil)

^c FEDERAL UNIVERSITY OF MINAS GERAIS   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 41149111895     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/41/11/115303     Document Type: Article

References (38)

1. Schrödinger E 1935 Proc. Camb. Phil. Soc. 31 555
2. Einstein A, Podolski B and Rosen N 1935 Phys. Rev. 47 777
3. Bell J S 1964 Physics 1 195
4. Nielsen M A and Chuang I L 2000 Quantum Computation and Quantum Information (Cambridge: Cambridge University Press)
5. von Neumann J 1955 Mathematical Foundations of Quantum Mechanics (Princeton, NJ: Princeton University Press)
6. Giulini D, Joos E, Kiefer C, Kupsch J, Stamatescu I O and Zeh D H 2003 Decoherence and the Appearance of the Classical World in Quantum Theory (Berlin: Springer)
7. Caldeira A O and Leggett A J 1983 Ann. Phys. 149 374
8. Haake F 2001 Quantum Signature of Chaos (Berlin: Springer)
9. Zurek W 2001 Nature (Lond.) 412 712
10. Alicki R 2002 Preprint quant-ph/0205173
11. Prosen T and Znidaric M 2002 J. Phys. A: Math. Gen. 35 1455
12. Blume-Kohout R and Zurek W 2003 Phys. Rev. A 68 032104
13. Zurek W H and Paz J P 1994 Phys. Rev. Lett. 72 2508
14. Pattanayak A and Brumer P 1997 Phys. Rev. Lett. 79 4131
15. Pattanayak A 1999 Phys. Rev. Lett. 83 4526
16. Katok A and Hasselblatt B 1955 Introduction to the Modern Theory of Dynamical Systems (Cambridge: Cambridge University Press)
17. Penrose O 1979 Rep. Prog. Phys. 42 1937
18. Emch G G, Narnhofer H, Sewell G L and Thirring W 1994 J. Math. Phys. 35 5582
19. Jauslin H R, Sapin O, Guérin S and Wreszinski W F 2004 J. Math. Phys. 45 4377
20. Agarwal G S 1971 Phys. Rev. A 3 828
21. Serafini A et al 2004 J. Phys. B: At. Mol. Opt. Phys. 37 L21
22. Magalhes A R B et al 2006 Phys. Scr. 74 472
23. Ozorio de Almeida A M 1988 Hamiltonian Systems: Chaos and Quantization (Cambridge: Cambridge University Press)
24. Sapin O, Jauslin H R and Weigert S 2007 J. Stat. Phys. 127 699
25. Arnold V 1978 Mathematical Methods of Classical Mechanics (Berlin: Springer)
26. Broer H and Simó C 1998 Bol. Soc. Bras. Mat. 29 253
27. Casati G and Molinari L 1989 Prog. Theor. Phys. Suppl. 98 287
28. Hochstadt H 1971 The Functions of Mathematical Physics (New York: Wiley)
29. Robinson D W and Ruelle D 1967 Commun. Math. Phys. 5 288
30. Wehrl A 1978 Rev. Mod. Phys. 50 221
31. Wehrl A 1979 Rep. Math. Phys. 16 353
32. Mintert F and Zyczkowski K 2004 Phys. Rev. A 69 022317
33. Almeida A M O 2006 Preprint quant-ph/0612029
34. Bandyopadhyay J N and Lakshminarayan A 2004 Phys. Rev. E 69 016201
35. Lakshminarayan A 2001 Preprint quant-ph/0107078
36. Bianucci P et al 2002 Phys. Rev. E 65 046226
37. Galetti D and Toledo Piza A F R 1995 Physica A 214 207
38. Gaspard P, Claus I, Gilbert T and Dorfman J R 2001 Phys. Rev. Lett. 86 1506