Berry phase in entangled systems: A proposed experiment with single neutrons

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 69, Issue 3, 2004, Pages

  Bertlmann, Reinhold A ^a   Durstberger, Katharina ^a   Hasegawa, Yuji ^b   Hiesmayr, Beatrix C ^c  

^a UNIVERSITY OF VIENNA   (Austria)

^b Atominst de Osterreichischen Univ   (Austria)

^c UNIVERSITAT AUTÒNOMA DE BARCELONA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

DEGREES OF FREEDOM (MECHANICS); ELECTRON ENERGY LEVELS; INTERFEROMETRY; MAGNETIC FIELDS; MAGNETS; NEUTRONS; PROBABILITY; THEOREM PROVING;

BELL INEQUALITY (BI); ENTANGLED SYSTEMS; HILBERT SPACE; QUANTUM SYSTEMS;

QUANTUM THEORY;

EID: 2542504747     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevA.69.032112     Document Type: Article

References (53)

1. E. Schrödinger, Naturwissenschaften 23, 807 (1935); 23, 823 (1935); 23, 844 (1935).
2. E. Schrödinger, Naturwissenschaften 23, 807 (1935); 23, 823 (1935); 23, 844 (1935).
3. E. Schrödinger, Naturwissenschaften 23, 807 (1935); 23, 823 (1935); 23, 844 (1935).
4. A. Einstein, B. Podolsky, and N. Rosen, Phys. Rev. 47, 777 (1935).
5. J. S. Bell, Physics (Long Island City, N.Y.) 1, 195 (1964).
6. J. S. Bell, Speakable and Unspeakable in Quantum Mechanics (Cambridge University Press, Cambridge, 1987).
7. R. A. Bertlmann, H. Narnhofer, and W. Thirring, Phys. Rev. A 66, 032319 (2002).
8. Quantum [Un]speakables, from Bell to Quantum Information, edited by R. A. Bertlmann and A. Zeilinger (Springer-Verlag, Heidelberg, 2002).
9. R. A. Bertlmann and W. Grimus, Phys. Rev. D 64, 056004 (2001).
10. R. A. Bertlmann and B. C. Hiesmayr, Phys. Rev. A 63, 062112 (2001).
11. R. A. Bertlmann, K. Durstberger, and B. C. Hiesmayr,Phys. Rev. A 68, 012111 (2003).
12. A. Bramon and M. Nowakowski, Phys. Rev. Lett. 83, 1 (1999).
13. A. Bramon and G. Garbarino, Phys. Rev. Lett. 88, 040403 (2002).
14. A. Bramon, G. Garbarino, and B. C. Hiesmayr, Phys. Rev. Lett. 92, 020405 (2004).
15. M. Genovese, G. Novero, and E. Predazzi, Phys. Lett. B 513, 401 (2001).
16. M. V. Berry, Proc. R. Soc. London, Ser. A 392, 45 (1984).
17. B. Simon, Phys. Rev. Lett. 51, 2167 (1983).
18. A. Uhlmann, Rep. Math. Phys. 24, 229 (1986).
19. L. Dabrowski and H. Grosse, Lett. Math. Phys. 19, 205 (1990).
20. Y. Aharonov and J. Anandan, Phys. Rev. Lett. 58, 1593 (1987).
21. S. Pancharatnam, Proc. Indian Acad. Sci., Sect. A 44A, 247 (1956).
22. J. Samuel and R. Bhandari, Phys. Rev. Lett. 60, 2339 (1988).
23. N. Manini and F. Pistolesi, Phys. Rev. Lett. 85, 3067 (2000).
24. S. Filipp and E. Sjöqvist, Phys. Rev. Lett. 90, 050403 (2003).
25. P. Zanardi and M. Rasetti, Phys. Lett. A 264, 94 (1999).
26. J. Jones, V. Vedral, A. Ekert, and G. Castagnoli, Nature (London) 403, 869 (2000).
27. L.-M. Duan, J. Cirac, and P. Zoller, Science 292, 1695 (2001).
28. P. Kwiat and R. Chiao, Phys. Rev. Lett. 66, 588 (1991).
29. R. Chiao and Y.-S. Wu, Phys. Rev. Lett. 57, 933 (1986).
30. A. Tomita and R. Chiao, Phys. Rev. Lett. 57, 937 (1986).
31. Y. Hasegawa, M. Zawisky, H. Rauch, and A. Ioffe, Phys. Rev. A 53, 2486 (1996).
32. Y. Hasegawa, R. Loidl, G. Badurek, M. Baron, N. Manini, F. Pistolesi, and H. Rauch, Phys. Rev. A 65, 052111 (2002).
33. C. L. Webb, R. M. Godun, G. S. Summy, M. K. Oberthaler, P. D. Featonby, C. J. Foot, and K. Burnett, Phys. Rev. A 60, R1783 (1999).
34. E. Sjöqvist, Phys. Rev. A 62, 022109 (2000).
35. D. M. Tong, L. C. Kwek, and C. H. Oh, J. Phys. A 36, 1149 (2003).
36. P. Milman and R. Mosseri, e-print quant-ph/0302202.
37. D. M. Tong, E. Sjöqvist, L. C. Kwek, C. H. Oh, and M. Ericsson, Phys. Rev. A 68, 022106 (2003).
38. Matter Wave Interferometry, edited by G. Badurek, H. Rauch, and A. Zeilinger, special issue of Physica B & C 151 (1988).
39. H. Rauch and S. A. Werner, Neutron Interferometry (Oxford Univ. Press, Oxford, 2000).
40. G. Badurek, H. Rauch, and J. Summhammer, Physica B & C 151, 82 (1988).
41. S. Basu, S. Bandyopadhyay, G. Kar, and D. Home, Phys. Lett. A 279, 281 (2001).
42. Y. Hasegawa, R. Loidl, G. Badurek, M. Baron, and H. Rauch, Nature (London) 425, 45 (2003).
43. J. S. Bell, Rev. Mod. Phys. 38, 447 (1966).
44. S. Kochen and E. P. Specker, J. Math. Mech. 17, 59 (1967).
45. N. D. Mermin, Rev. Mod. Phys. 65, 803 (1993).
46. C. Simon, M. Zukowski, H. Weinfurter, and A. Zeilinger, Phys. Rev. Lett. 85, 1783 (2000).
47. A. C. Aguiar Pinto, M. C. Nemes, J. G. Peixoto de Faria, and M. T. Thomaz, Am. J. Phys. 68, 955 (2000).
48. J. Clauser, M. Horne, A. Shimony, and R. Holt, Phys. Rev. Lett. 23, 880 (1969).
49. G. Badurek, H. Rauch, and D. Tuppinger, Phys. Rev. A 34, 2600 (1986).
50. A. G. Wagh, V. C. Rakhecha, J. Summhammer, G. Badurek, H. Weinfurter, B. E. Allman, H. Kaiser, K. Harnacher, D. L. Jacobson, and S. A. Werner, Phys. Rev. Lett. 78, 755 (1997).
51. B. E. Allman, H. Kaiser, S. A. Werner, A. G. Wagh, V. C. Rakhecha, and J. Summhammer, Phys. Rev. A 56, 4420 (1997).
52. R. Horodecki and P. Horodecki, Phys. Lett. A 210, 227 (1996).
53. N. Gisin, Phys. Lett. A 154, 201 (1991).