Quantum Zeno Subspaces

Physical Review Letters

Volumn 89, Issue 8, 2002, Pages

  Facchi, P ^a   Pascazio, S ^a  

^a UNIVERSITY OF BARI   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; HAMILTONIANS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; OSCILLATIONS; PROBABILITY; PROBLEM SOLVING;

HILBERT SPACES; QUANTUM ZENO SUBSPACES; RABI OSCILLATIONS; ZENO DYNAMICS;

QUANTUM THEORY;

EID: 0037135911     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.89.080401     Document Type: Article

References (60)

1. A. Beskow and J. Nilsson, Ark. Fys.AFYSA7 34, 561 (1967);
2. L.A. Khalfin, JETP Lett.JTPLA2 8, 65 (1968).
3. B. Misra and E.C.G. Sudarshan, J. Math. Phys. (N.Y.) 18, 756 (1977).
4. H. Nakazato, M. Namiki, and S. Pascazio, Int. J. Mod. Phys. B 10, 247 (1996);
5. D. Home and M.A.B. Whitaker, Ann. Phys. (N.Y.)APNYA610.1006/aphy.1997.5699 258, 237 (1997).
6. P. Facchi and S. Pascazio, Progress in Optics, edited by E. Wolf (Elsevier, Amsterdam, 2001), Vol. 42, p. 147.
7. R.J. Cook, Phys. Scr. T21, 49 (1988).
8. W.M. Itano et al, Phys. Rev. A10.1103/PhysRevA.41.2295 41, 2295 (1990);
9. T. Petrosky, S. Tasaki, and I. Prigogine, Phys. Lett. A 151, 109 (1990);
10. T. PetroskyS. TasakiI. PrigoginePhysica (Amsterdam) 170A, 306 (1991);
11. A. Peres and A. Ron, Phys. Rev. A10.1103/PhysRevA.42.5720 42, 5720 (1990);
12. S. Pascazio et al, Phys. Lett. A 179, 155 (1993);
13. T.P. Altenmüller and A. Schenzle, Phys. Rev. A10.1103/PhysRevA.49.2016 49, 2016 (1994);
14. J.I. Cirac, A. Schenzle, and P. Zoller, Europhys. Lett. 27, 123 (1994);
15. S. Pascazio and M. Namiki, Phys. Rev. A10.1103/PhysRevA.50.4582 50, 4582 (1994);
16. P. Kwiat et al, Phys. Rev. Lett.10.1103/PhysRevLett.74.4763 74, 4763 (1995);
17. A. Beige and G.C. Hegerfeldt, Phys. Rev. A10.1103/PhysRevA.53.53 53, 53 (1996);
18. A. Luis and J. Periňa, Phys. Rev. Lett.10.1103/PhysRevLett.76.4340 76, 4340 (1996).
19. S.R. Wilkinson et al, Nature (London)10.1038/42418 387, 575 (1997).
20. M.C. Fischer, B. Gutiérrez-Medina, and M.G. Raizen, Phys. Rev. Lett.10.1103/PhysRevLett.87.040402 87, 040402 (2001).
21. A.M. Lane, Phys. Lett. A 99, 359 (1983);
22. W.C. Schieve, L.P. Horwitz, and J. Levitan, Phys. Lett. A 136, 264 (1989);
23. A.G. Kofman and G. Kurizki, Nature (London)10.1038/35014537 405, 546 (2000).
24. P. Facchi, H. Nakazato, and S. Pascazio, Phys. Rev. Lett.10.1103/PhysRevLett.86.2699 86, 2699 (2001).
25. G.S. Agarwal, M.O. Scully, and H. Walther, Phys. Rev. Lett.10.1103/PhysRevLett.86.4271 86, 4271 (2001).
26. E. Frishman and M. Shapiro, Phys. Rev. Lett.10.1103/PhysRevLett.87.253001 87, 253001 (2001).
27. P. Facchi et al, Phys. Lett. A10.1016/S0375-9601(00)00566-1 275, 12 (2000);
28. P. Facchi et al, Phys. Rev. A10.1103/PhysRevA.65.012108 65, 012108 (2002).
29. See also K. Machida et al, Phys. Rev. A10.1103/PhysRevA.60.3448 60, 3448 (1999).
30. C.N. Friedman, Indiana Univ. Math. J. 21, 1001 (1972).
31. K. Gustafson, in Energy Storage and Redistribution in Molecules, edited by J. Hinze (Plenum, New York, 1983), and Refs.�[10,12] therein.
32. See also K. Gustafson and B. Misra, Lett. Math. Phys. 1, 275 (1976).
33. J. von Neumann, Mathematical Foundation of Quantum Mechanics (Princeton University Press, Princeton, 1955). The QZE is discussed on p. 366.
34. A. Peres, Am. J. Phys. 48, 931 (1980).
35. K. Kraus, Found. Phys.FNDPA4 11, 547 (1981);
36. A. Sudbery, Ann. Phys. (N.Y.)APNYA6 157, 512 (1984);
37. A. Venugopalan and R. Ghosh, Phys. Lett. A10.1016/0375-9601(95)00443-7 204, 11 (1995);
38. M.V. Berry and S. Klein, J. Mod. Opt.10.1080/095003496156426 43, 165 (1996);
39. M.P. Plenio, P.L. Knight, and R.C. Thompson, Opt. Commun.OPCOB810.1016/0030-4018(95)00558-7 123, 278 (1996);
40. E. Mihokova, S. Pascazio, and L.S. Schulman, Phys. Rev. A10.1103/PhysRevA.56.25 56, 25 (1997);
41. J. Řeháček et al, Phys. Rev. A10.1103/PhysRevA.62.013804 62, 013804 (2000);
42. P. Facchi and S. Pascazio, Phys. Rev. A10.1103/PhysRevA.62.023804 62, 023804 (2000);
43. B. Militello, A. Messina, and A. Napoli, Phys. Lett. A 286, 369 (2001);
44. A.D. Panov, Phys. Lett. A10.1016/S0375-9601(02)00577-7 298, 295 (2002).
45. L.S. Schulman, Phys. Rev. A10.1103/PhysRevA.57.1509 57, 1509 (1998).
46. P. Facchi and S. Pascazio, in Time’s Arrows, Quantum Measurements and Superluminal Behavior, edited by D. Mugnai, A. Ranfagni, and L. S. Schulman (CNR, Rome, 2001) p. 139;
47. P. FacchiS. PascazioFortschr. Phys.FPYKA610.1002/1521-3978(200110)49:10/11<941::AID-PROP941>3.0.CO;2-V 49, 941 (2001).
48. See, for instance, A. Messiah, Quantum Mechanics (Interscience, New York, 1961).
49. P. Facchi, e-print quant-ph/0202174; P. Facchi and S. Pascazio, e-print quant-ph/0207030.
50. G.C. Wick, A.S. Wightman, and E.P. Wigner, Phys. Rev.10.1103/PhysRev.88.101 88, 101 (1952);
51. G.C. WickA.S. WightmanE.P. WignerPhys. Rev. D10.1103/PhysRevD.1.3267 1, 3267 (1970).
52. B. Militello, A. Messina, and A. Napoli, Fortschr. Phys.FPYKA6 49, 1041 (2001).
53. G.M. Palma, K.A. Suominen, and A.K. Ekert, Proc. R. Soc. London A 452, 567 (1996);
54. L.M. Duan and G.C. Guo, Phys. Rev. Lett.10.1103/PhysRevLett.79.1953 79, 1953 (1997);
55. P. Zanardi and M. Rasetti, Phys. Rev. Lett.10.1103/PhysRevLett.79.3306 79, 3306 (1997);
56. D.A. Lidar, I.L. Chuang, and K.B. Whaley, Phys. Rev. Lett.10.1103/PhysRevLett.81.2594 81, 2594 (1998);
57. L. Viola, E. Knill, and S. Lloyd, Phys. Rev. Lett.10.1103/PhysRevLett.82.2417 82, 2417 (1999).
58. A. Beige et al, Phys. Rev. Lett.10.1103/PhysRevLett.85.1762 85, 1762 (2000).
59. P. Facchi and S. Pascazio, Phys. Lett. A10.1016/S0375-9601(98)00144-3 241, 139 (1998).
60. Y. Aharonov and M. Vardi, Phys. Rev. D10.1103/PhysRevD.21.2235 21, 2235 (1980).