Entanglement sharing in one-particle states

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 67, Issue 5, 2003, Pages 523041-5230410

  Lakshminarayan, Arul ^a,b   Subrahmanyam, V ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY KANPUR   (India)

^b PHYSICAL RESEARCH LABORATORY   (India)

Author keywords

[No Author keywords available]

Indexed keywords

BESSEL FUNCTIONS; CHAOS THEORY; EIGENVALUES AND EIGENFUNCTIONS; HAMILTONIANS; MATRIX ALGEBRA; METAL INSULATOR TRANSITION;

ONE-PARTICLE STATES;

QUANTUM THEORY;

EID: 0038445846     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (36)

1. Dagmar Bruß, J. Math. Phys. 43, 4237 (2002).
2. S. Hill and W.K. Wootters, Phys. Rev. Lett. 78, 5022 (1997); W.K. Wootters, ibid. 80, 2245 (1998).
3. S. Hill and W.K. Wootters, Phys. Rev. Lett. 78, 5022 (1997); W.K. Wootters, ibid. 80, 2245 (1998).
4. K.M. O'Connor and W.K. Wootters, Phys. Rev. A 63, 052302 (2001).
5. K.A. Dennison and W.K. Wootters, Phys. Rev. A 65, 010301 (2002).
6. D. Gunlycke, S. Bose, V.M. Kendon, and V. Vedral, Phys. Rev. A 64, 042302 (2001).
7. P. Zanardi, Phys. Rev. A 65, 042101 (2002).
8. T.J. Osborne and M.A. Nielsen, Phys. Rev. A 66, 032110 (2002).
9. A. Osterloh, Luigi Amico, G. Falci, and Rosario Fazio, Nature (London) 416, 608 (2002).
10. M.C. Gutzwiller, Chaos in Classical and Quantum Mechanics (Springer, New York, 1990).
11. F. Haake, Quantum Signature of Chaos, 2nd ed. (Springer-Verlag, Berlin, 2001).
12. A. Lakshminarayan, Phys. Rev. E 64, 036207 (2001).
13. J.N. Bandyopadhyay and A. Lakshminarayan, Phys. Rev. Lett. 89, 060402 (2002).
14. K. Zyczkowski and H-J. Sommers, J. Phys. A 34, 7111 (2001).
15. P. Jordan and E. Wigner, Z. Phys. 47, 631 (1928); E. Lieb, T. Schultz, and D. Mattis, Ann. Phys. (N.Y.) 16, 406 (1961); S. Sachdev, Quantum Phase Transitions (Cambridge University Press, Cambridge, 1999).
16. P. Jordan and E. Wigner, Z. Phys. 47, 631 (1928); E. Lieb, T. Schultz, and D. Mattis, Ann. Phys. (N.Y.) 16, 406 (1961); S. Sachdev, Quantum Phase Transitions (Cambridge University Press, Cambridge, 1999).
17. P. Jordan and E. Wigner, Z. Phys. 47, 631 (1928); E. Lieb, T. Schultz, and D. Mattis, Ann. Phys. (N.Y.) 16, 406 (1961); S. Sachdev, Quantum Phase Transitions (Cambridge University Press, Cambridge, 1999).
18. A. Peres, Quantum Theory: Concepts and Methods (Kluwer Academic, Dordrecht, 1993); see J. Preskill, Lecture Notes at http://www.theory.caltech.edu/people/preskill/ph229
19. A. Peres, Quantum Theory: Concepts and Methods (Kluwer Academic, Dordrecht, 1993); see J. Preskill, Lecture Notes at http://www.theory.caltech.edu/people/preskill/ph229
20. C.H. Bennett, H.J. Bernstein, S. Popescu, and B. Schumacher, Phys. Rev. A 53, 2046 (1996).
21. P.M. Izrailev, in Quantum Chaos: Between Order and Disorder, edited by G. Casati and B. Chirikov (Cambridge University Press, Cambridge, 1995).
22. P.G. Harper, Proc. Phys. Soc., London, Sect. A 68, 874 (1955); 68, 879 (1955).
23. P.G. Harper, Proc. Phys. Soc., London, Sect. A 68, 874 (1955); 68, 879 (1955).
24. R. Artuso, G. Casati, F. Borgonovi, and L. Rebuzzini, Int. J. Mod. Phys. B 8, 207 (1994).
25. J. Schwinger, Quantum Kinematics and Dynamics (Benjamin, New York, 1970); J.H. Hannay and M.V. Berry, Physica D 1, 267 (1980); M. Saraceno, Ann. Phys. (N.Y.) 199, 37 (1990).
26. J. Schwinger, Quantum Kinematics and Dynamics (Benjamin, New York, 1970); J.H. Hannay and M.V. Berry, Physica D 1, 267 (1980); M. Saraceno, Ann. Phys. (N.Y.) 199, 37 (1990).
27. J. Schwinger, Quantum Kinematics and Dynamics (Benjamin, New York, 1970); J.H. Hannay and M.V. Berry, Physica D 1, 267 (1980); M. Saraceno, Ann. Phys. (N.Y.) 199, 37 (1990).
28. P.B. Wiegmann, Prog. Theor. Phys. Suppl. 134, 171 (1999).
29. A. Iomin and S. Fishman, Phys. Rev. B 61, 2085 (2000).
30. P. Leboeuf, J. Kurchan, M. Feingold, and D.P. Arovas, Phys. Rev. Lett. 65, 3076 (1990); R. Lima and D. Shepelyansky, ibid. 67, 1377 (1991).
31. P. Leboeuf, J. Kurchan, M. Feingold, and D.P. Arovas, Phys. Rev. Lett. 65, 3076 (1990); R. Lima and D. Shepelyansky, ibid. 67, 1377 (1991).
32. M.L. Mehta, Random Matrices (Academic Press, New York, 1991).
33. T.A. Brody, J. Flores, J.B. French, P.A. Mello, A. Pandey, and S.S.M. Wong, Rev. Mod. Phys. 53, 385 (1981).
34. N.R. Cerruti, A. Lakshminarayan, J.H. Lefebvre, and S. Tomsovic, Phys. Rev. E 63, 016208 (2000); A. Lakshminarayan, N.R. Cerruti, and S. Tomsovic, ibid. 63, 016209 (2000).
35. N.R. Cerruti, A. Lakshminarayan, J.H. Lefebvre, and S. Tomsovic, Phys. Rev. E 63, 016208 (2000); A. Lakshminarayan, N.R. Cerruti, and S. Tomsovic, ibid. 63, 016209 (2000).
36. M. Nielsen, e-print quant-ph/0208078.