Entanglement, bell inequalities and decoherence in particle physics

Lecture Notes in Physics

Volumn 689, Issue , 2006, Pages 1-45

  Bertlmann, Reinhold A ^a  

^a Institut fur theoretische Physik der Universitat   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33745674016     PISSN: 00758450     EISSN: None     Source Type: Book Series    
DOI: 10.1007/11398448_1     Document Type: Article

References (148)

1. E. Schrödinger: Naturwissenschaften 23, 807 (1935)
2. E. Schrödinger: Naturwissenschaften 23, 823 (1935)
3. E. Schrödinger: Naturwissenschaften 23, 844 (1935) 1, 26, 27, 35
4. A. Einstein, B. Podolski, N. Rosen: Phys. Rev. 47, 777 (1935) 1
5. N. Bohr: Phys. Rev. 48, 696 (1935) 1
6. W.H. Furry: Phys. Rev. 49, 393 (1936)
7. ibid. 49, 476 (1936) 1, 26, 27, 35
8. J.S. Bell: Physics 1, 195 (1964) 1, 2, 11
9. R.A. Bertlmann: Found. Phys. 20, 1191 (1990) 2
10. S.J. Freedman, J.F. Clauser: Phys. Rev. Lett. 28, 938 (1972) 2, 11
11. E.S. Fry, R.C. Thompson: Phys. Rev. Lett. 37, 465 (1976) 2, 11
12. A. Aspect, P. Grangier, G. Roger: Phys. Rev. Lett. 49, 91 (1982)
13. A. Aspect, J. Dalibard, G. Roger: Phys. Rev. Lett. 49, 1804 (1982) 2, 11
14. G. Weihs, T. Jennewein, C. Simon, H. Weinfurter, A. Zeilinger: Phys. Rev. Lett. 81, 5039 (1998) 2, 11
15. W. Tittel, G. Ribordy, N. Gisin: Physics World 11, No. 3, p. 41 (1998)
16. W. Tittel, J. Brendel, H. Zbinden, N. Gisin: Phys. Rev. Lett. 81, 3563 (1998)
17. H. Zbinden, J. Brendel, W. Tittel, N. Gisin: Phys. Rev. A 63, 022111 (2001) 2
18. M. Aspelmeyer, H.R. Böhm, T. Gyatso, T. Jennewein, R. Kaltenbaek, M. Lindenthal, G. Molina-Terriza, A. Poppe, K. Resch, M. Taraba, R. Ursin, P. Walther, A. Zeilinger: Science 301, 621 (2003) 2
19. J.S. Bell: Speakable and Unspeakable in Quantum Mechanics (Cambridge University Press 1987) 2, 9, 42
20. A.K. Ekert: Phys. Rev. Lett. 67, 661 (1991) 2
21. D. Deutsch, A.K. Ekert: Physics World 11, No. 3, p. 47 (1998) 2
22. R.J. Hughes: Contemp. Phys. 36, 149 (1995) 2
23. C.H. Bennett, G. Brassard, C. Crépeau, R. Jozsa, A. Peres, W.K. Wootters: Phys. Rev. Lett. 70, 1895 (1993) 2
24. J.-W. Pan, D. Bouwmeester, H. Weinfurter, A. Zeilinger: Nature 390, 575 (1997) 2
25. A. Zeilinger: Physics World 11, No. 3, 35 (1998) 2
26. D. Bouwmeester, A. Ekert, A. Zeilinger: The physics of quantum information: Quantum cryptography, quantum teleportation, quantum computations (Springer, Berlin Heidelberg New York 2000) 2
27. R.A. Bertlmann, A. Zeilinger (eds.): Quantum [Un]speakables, from Bell to Quantum Information (Springer, Berlin Heidelberg New York 2002) 2
28. T.D. Lee, C.N. Yang: Reported by T.D. Lee at Argonne National Laboratory, May 28, 1960 (unpublished) 2
29. D.R. Inglis: Rev. Mod. Phys. 33, 1 (1961) 2
30. T.B. Day: Phys. Rev. 121, 1204 (1961) 2
31. H.J. Lipkin: Phys. Rev. 176, 1715 (1968) 2, 6
32. P.H. Eberhard: In The Second Daφne Physics Handbook, edited by L. Maiani, G. Pancheri, N. Paver (SIS-Pubblicazioni dei Laboratori di Frascati, Italy, 1995) Vol I, p. 99 2
33. P.H. Eberhard: Nucl. Phys. B 398, 155 (1992) 2
34. I.I. Bigi: Nucl. Phys. B (Proc. Suppl.) 24A, 24 (1991) 2
35. A. Di Domenico: Nucl. Phys. B 450, 293 (1995) 2
36. A. Bramon, M Nowakowski: Phys. Rev. Lett. 83, 1 (1999) 2, 12, 37
37. B. Ancochea, A. Bramon, M Nowakowski: Phys. Rev. D 60, 094008 (1999) 2, 37
38. A. Bramon, G. Garbarino: Phys. Rev. Lett. 88, 040403 (2002) 2, 37
39. M. Genovese, C. Novero, E. Predazzi: Phys. Lett. B 513, 401 (2001) 2
40. J. Six: Phys. Lett. B 114, 200 (1982) 2
41. A. Apostolakis et al.: CPLEAR Coll., Phys. Lett. B 422, 339 (1998) 2, 21, 24, 25, 26
42. R.A. Bertlmann, W. Grimus, B.C. Hiesmayr: Phys. Rev. D 60, 114032 (1999) 2, 27, 38
43. R.A. Bertlmann, W. Grimus: Phys. Lett. B 392, 426 (1997) 2, 26, 27
44. G.V. Dass, K.V.L. Sarma: Eur. Phys. J. C 5, 283 (1998) 2, 26, 27
45. R.A. Bertlmann, W. Grimus: Phys. Rev. D 58, 034014 (1998) 2, 26, 27
46. A. Datta, D. Home: Phys. Lett. A 119, 3 (1986) 2
47. A. Pompili, F. Selleri: Eur. Phys. J. C 14, 469 (2000) 2
48. R.A. Bertlmann, W. Grimus: Phys. Rev. D 64, 056004 (2001) 2, 21, 26, 27, 38
49. F. Selleri: Lett. Nuovo Cim. 36, 521 (1983)
50. P. Privitera, F. Selleri: Phys. Lett. B 296, 261 (1992)
51. F. Selleri: Phys. Rev. A 56, 3493 (1997)
52. R. Foadi, F. Selleri: Phys. Rev. A 61, 012106 (1999)
53. R. Foadi, F. Selleri: Phys. Lett. B 461, 123 (1999) 2
54. A. Afriat, F. Selleri: The Einstein, Podolsky, and Rosen Paradox in Atomic, Nuclear and Particle Physics, (Plenum Press, New York London 1999) 2
55. J. Six: Phys. Lett. A 150, 243 (1990) 2
56. A. Bramon, G. Garbarino: Phys. Rev. Lett. 89, 160401 (2002) 2
57. R.A. Bertlmann, B. C. Hiesmayr: Phys. Rev. A 63, 062112 (2001) 2, 6, 8, 12, 13, 36
58. R.A. Bertlmann, K. Durstberger, B.C. Hiesmayr: Phys. Rev. A 68, 012111 (2003) 3, 21, 27, 28, 32, 35, 38
59. M. Gell-Mann, A. Pais: Phys. Rev. 97, 1387 (1955) 3
60. A. Pais, O. Piccioni: Phys. Rev. 100, 1487 (1955) 3
61. J.S. Bell: Proceedings of the Royal Society A 231, 479 (1955) 4
62. W. Pauli: Niels Bohr and the development of physics, (McGraw-Hill, New York 1955)
63. Nuovo Cimento 6, 204 (1957) 4
64. G. Lüders: Kgl. Danske Vidensk. Selsk. Mat.-Fys. Medd 28, no. 5 (1954)
65. G. Lüders: Ann. Phys. 2, 1 (1957) 4
66. T.D. Lee, C.S. Wu: Ann. Rev. Nucl. Sci. 16, 511 (1966) 6
67. J.S. Bell, J. Steinberger: Weak Interactions of Kaons, Proceedings of the Oxford International Conference, 19-25 Sept., p. 147, (1965) 7, 8
68. G.C. Ghirardi, R. Grassi, T. Weber: In Proc. of Workshop on Physics and Detectors for DAφNE, the Frascati φ Factory, April 9-12th, 1991, edited by G. Pancheri, p. 261 8, 14, 15, 36
69. J.E. Clauser, M.A. Horne, A. Shimony, R.A. Holt: Phys. Rev. D 10, 880 (1969) 9, 10
70. J.S. Bell: Introduction to the Hidden-Variable Question. Article 4 in [13] 10
71. J.E. Clauser, A. Shimony: Rep. Prog. Phys. Vol. 41, 1881 (1978) 10
72. E.P. Wigner: Am. J. Phys. 38, 1005 (1970) 11
73. N. Gisin, A. Go: Am. J. Phys. 69 (3), 264 (2001) 12, 13
74. G.C. Ghirardi, R. Grassi, R. Ragazzon: In The DAφNE Physics Handbook, Vol. I, ed. by L. Maiani, G. Pancheri and N. Paver (Servizio Documentazione dei Laboratori Nazionale di Frascati, Italy 1992), p. 283 15, 36
75. o-system or about quantum mechanical interference and Bell inequalities in particle physics, Master Thesis, University of Vienna, (1999) 15, 27, 36
76. B.C. Hiesmayr: Private communication 15
77. F. Uchiyama: Phys. Lett. A 231, 295 (1997) 16, 37
78. D.E. Groom et al.: Review of Particle Physics, Eur. Phys. J. C 3, 1 (1998) 16, 17
79. R.A. Bertlmann, W. Grimus, B.C. Hiesmayr: Phys. Lett. A 289, 21 (2001) 16, 37
80. J.S. Bell: Rev. Mod. Phys. 38, 447 (1966)
81. S. Kochen, E.P. Specker: J. Math. Mech. 17, 59 (1967)
82. N.D. Mermin: Rev. Mod. Phys. 65, 803 (1993) 18
83. S. Hawking: Commun. Math. Phys. 87, 395 (1982) 19
84. G. 't Hooft: Class. Quant. Grav. 16, 3263 (1999) 19
85. G. 't Hooft: Determinism and Dissipation in Quantum Gravity, hep-th/ 0003005 (2000) 19
86. G.C. Ghirardi, A. Rimini, and T. Weber: Phys. Rev. D 34, 470 (1986) 19
87. P. Pearle: Phys. Rev. A 39, 2277 (1989) 19
88. N. Gisin, I.C. Percival: J. Phys. A: Math. Gen. 25, 5677 (1992)
89. ibid. 26, 2245 (1993) 19
90. R. Penrose: Gen. Rel. Grav. 28, 581 (1996)
91. R. Penrose: Phil. Trans. Roy. Soc. Lond. A 356, 1927 (1998) 19
92. G. Lindblad: Comm. Math. Phys. 48, 119 (1976) 22
93. V. Gorini, A. Kossakowski, E.C.G. Sudarshan: J. Math. Phys. 17, 821 (1976) 22
94. R.A. Bertlmann, W. Grimus: Phys. Lett. A 300, 107 (2002) 22
95. S.L. Adler: Phys. Rev. D 62, 117901 (2000) 22
96. F. Benatti, H. Narnhofer: Lett. Math. Phys. 15, 325 (1988) 22
97. BELLE-homepage: http://belle.kek.jp 26, 38
98. G. Leder: Talk given at the conference SUSY'02, Hamburg June 2002, http://wwwhephy.oeaw.ac.at/p3w/belle/leder_susy02.pdf (unpublished) 26, 38
99. B. Aubert et al.: BABAR Collaboration, Phys. Rev. D. 66, 032003 (2002) 26, 38
100. BABAR-homepage: http://www.slac.stanford.edu/babar 26, 38
101. H.-P. Breuer, F. Petruccione: The theory of open quantum systems, (Oxford University Press 2002) 28
102. E. Joos: Decoherence through interaction with the environment, in: Decoherence and the apperance of a classical world in quantum theory, D. Giulini et al. (eds.) (Springer Verlag, Heidelberg, 1996) p. 35 28
103. O. Kübler, H.D. Zeh: Ann. Phys. (N.Y.) 76, 405 (1973) 28
104. E. Joos, H.D. Zeh: Z. Phys. B 59, 223 (1985) 28
105. W.H. Zurek: Physics Today 44, 36 (1991) 28
106. R. Alicki: Phys. Rev. A 65, 034104 (2002) 28
107. B.C. Hiesmayr: The puzzling story of the neutral kaon system or what we can learn of entanglement, Ph.D. Thesis, University of Vienna, 2002 28
108. W. Thirring: Lehrbuch der Mathematischen Physik 4, Quantenmechanik großer Systeme (Springer Verlag, Wien 1980) 29
109. R.A. Bertlmann, H. Narnhofer, W. Thirring: Phys. Rev. A 66, 032319 (2002) 31, 32, 40
110. A. Peres: Phys. Rev. Lett. 77, 1413 (1996) 31
111. M. Horodecki, P. Horodecki, R. Horodecki: Phys. Lett. A 223, 1 (1996) 31
112. M. Horodecki, P. Horodecki: Phys. Rev. A 59, 4206 (1999) 32
113. M. Horodecki, P. Horodecki, R. Horodecki: Mixed state entanglement and quantum communication, in: Quantum information, G. Alber et al. (eds.), Springer Tracts in Modern Physics 173 (Springer Verlag Berlin 2001) p. 151 32
114. C.H. Bennett, D.P. DiVincenzo, J.A. Smolin, W.K. Wootters: Phys. Rev. A 54, 3824 (1996) 33
115. S. Hill, W.K. Wootters: Phys. Rev. Lett. 78, 5022 (1997) 34
116. W.K. Wootters: Phys. Rev. Lett. 80, 2245 (1998) 34
117. W.K. Wootters: Quantum Information and Computation 1, 27 (2001) 34
118. A. Go: J. Mod. Optics 51, 991 (2004) 37
119. R.A. Bertlmann, A. Bramon, G. Garbarino, B.C. Hiesmayr: Violation of a Bell inequality in particle physics experimentally verified?, quant-ph/ 0409051 (2004) 37
120. J.F. Clauser, M.A. Horne: Phys. Rev. 10, 526 (1974) 37
121. A. Di Domenico: KLOE Coll., Kaon inPerferometry at KLOE: present and future, hep-ex/0312032 (2003) 38
122. A. Bramon, G. Garbarino, B.C. Hiesmayr: Eur. J. Phys. C 32, 377 (2004) 38, 39
123. A. Bramon, G. Garbarino, B.C. Hiesmayr: Phys. Rev. A 69, 022112 (2004) 38, 39
124. A. Bramon, G. Garbarino, B.C. Hiesmayr: Phys. Rev. Lett. 92, 020405 (2004) 38
125. A. Bramon, G. Garbarino, B.C. Hiesmayr: Phys. Rev. A 69, 062111 (2004) 38
126. D. Greenberger, A. Yasin: Phys. Lett. A 128, 391 (1988) 38
127. B.-G. Englert: Phys. Rev. Lett. 77, 2154 (1996) 38
128. H. Rauch, S.A. Werner: Neutron Interferometry (Oxford Univ. Press, Oxford 2000) 38, 39
129. M.V. Berry: Proc. R. Soc. Lond. A 392, 45 (1984) 39
130. E. Sjöqvist: Phys. Rev. A 62, 022109 (2000) 39
131. D.M. Tong, L.C. Kwek, C.H. Oh: J. Phys. A: Math. Gen. 36, 1149 (2003) 39
132. P. Milman, R. Mosseri: Topological phase for entangled two-qubit states, quantph/0302202 (2003) 39
133. D.M. Tong, E. Sjöqvist, L.C. Kwek, C.H. Oh, M. Ericsson: Phys. Rev. A 68, 022106 (2003) 39
134. R.A. Bertlmann, K. Durstberger, Y. Hasegawa, B.C. Hiesmayr: Phys. Rev. A 69, 032112 (2004) 39
135. S. Basu, S. Bandyopadhyay, G. Kar, D. Home: Phys. Lett. A 279, 281 (2001) 39
136. Y. Hasegawa, R. Loidl, G. Badurek, M. Baron, H. Rauch: Nature 425, 45 (2003) 39
137. K.M. Fonseca Romero, A.C. Aguiar Pinto, M.T. Thomaz: Physica A 307, 142 (2002) 39
138. I. Kamleitner, J.D. Cresser, B.C. Sanders: Geometric phase for an adiabatically evolving open quantum system, quant-ph/0406018 (2004) 39
139. A. Carollo, I. Fuentes-Guridi, M. França Santos, V. Vedral: Geometric phase in open systems, quant-ph/0301037 (2003) 39
140. P.J. Dodd, J.J. Halliwell: Phys. Rev. A 69, 052105 (2004) 39
141. R.S. Whitney, Y. Gefen: Berry phase in a non-isolated system, condmat/ 0208141 v2 (2003) 39
142. R.F. Werner: Phys. Rev. A 40, 4277 (1989) 40
143. M. Horodecki, P. Horodecki, R. Horodecki: Phys. Lett. A 223, 1 (1996) 40
144. M.B. Terhal: Phys. Lett. A 271, 319 (2000)
145. M.B. Terhal: Detecting quantum entanglement, quant-ph/0101032 (2001) 40
146. D. Bruß: Characterizing entanglement, quant-ph/0110078 (2001) 40
147. D.M. Greenberger, M.A. Horne, A. Zeilinger: Going beyond Bell's theorem, in Bell's Theorem, Quantum Theory and Conceptions of the Universe, M. Kafatos (ed.), (Kluwer, Dordrecht 1989), pp. 73-76 40
148. D.M. Greenberger, M.A. Horne, A. Shimony, A. Zeilinger: Am. J. Phys. 58 (12), 1131 (1990) 40