Quantum holonomies for an electric dipole moment

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 375, Issue 45, 2011, Pages 3956-3959

  Bakke, Knut ^a   Furtado, Claudio ^a  

^a FEDERAL UNIVERSITY OF PARAÍBA   (Brazil)

Author keywords

Dislocation; Electric dipole moment; Geometric phases; He McKellar Wilkens effect; Quantum holonomy; Scalar Aharonov Bohm effect

Indexed keywords

EID: 80054086254     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2011.09.050     Document Type: Article

References (85)

1. A. Bohm, A. Mostafazadeh, H. Koizumi, Q. Niu, and J. Zwanziger The Geometric Phase in Quantum Systems: Foundations, Mathematical Concepts and Applications in Molecular and Condensed Matter Physics 2003 Springer-Verlag New York
2. D.P. DiVincenzo Science 270 1997 255
3. A. Steane Rep. Prog. Phys. 61 1998 117
4. F. Wilczek, and A. Zee Phys. Rev. Lett. 52 1984 2111
5. P. Zanardi, and M. Rasetti Phys. Lett. A 264 1999 94
6. V.I. Kuvshinov, and A.V. Kuzmin Phys. Lett. A 316 2003 391
7. A. Ekert, M. Ericsson, P. Hayden, H. Inamory, J.A. Jones, D.K.L. Oi, and V. Vedral J. Mod. Opt. 47 2000 2501
8. V. Vedral Int. J. Quantum Inf. 1 2003 1
9. J. Pachos, and P. Zanardi Int. J. Mod. Phys. B 15 2001 1257
10. E. Sjöqvist Physics 1 2008 35
11. J. Pachos, and S. Chountasis Phys. Rev. A 62 2000 052318
12. A. Recati, T. Calarco, P. Zanardi, J.I. Cirac, and P. Zoller Phys. Rev. A 66 2002 032309
13. M. Cholascinski Phys. Rev. B 69 2004 134516
14. P. Zhang, Z.D. Wang, J.D. Sun, and C.P. Sun Phys. Rev. A 71 2005 042301
15. Z.-B. Feng, and X.-D. Zhang Phys. Lett. A 372 2008 1589
16. K. Bakke, C. Furtado, and S. Sergeenkov EPL 87 2009 30002
17. S. Lloyd Phys. Rev. Lett. 75 1995 346
18. Y. Aharonov, and J. Anandan Phys. Rev. Lett. 58 1987 1593
19. A. Friedenauer, and E. Sjöqvist Phys. Rev. A 67 2003 024303
20. D. Kult, J. Åberg, and E. Sjöqvist Phys. Rev. A 74 2006 022106
21. Y. Aharonov, and D. Bohm Phys. Rev. 115 1959 485
22. M. Peshkin, and A. Tonomura The Aharonov-Bohm Effect Lecture Notes in Physics vol. 340 1989 Springer-Verlag Berlin
23. A. Zeilinger J. Phys. Colloq. (France) 45 1984 C3
24. A. Zeilinger V. Gorini, A. Frigero, Fundamental Aspects of Quantum Theory 1985 Plenum New York
25. J.P. Dowling, C. Williams, and J.D. Franson Phys. Rev. Lett. 83 1999 2486
26. C. Furtado, and G. Duarte Phys. Scr. 71 2005 7
27. Y. Aharonov, and A. Casher Phys. Rev. Lett. 53 1984 319
28. X.-G. He, and B.H.J. McKellar Phys. Rev. A 47 1993 3424
29. M. Wilkens Phys. Rev. Lett. 72 1994 5
30. E. Passos, L.R. Ribeiro, C. Furtado, and J.R. Nascimento Phys. Rev. A 76 2007 012113
31. H. Belich, T. Costa-Soares, M.M. Ferreira Jr., and J.A. Helayël-Neto Eur. Phys. J. C 41 2005 421
32. K. Bakke, H. Belich, and E.O. Silva Ann. Phys. (Berlin) 2011 10.1002/andp.201100087
33. K. Bakke, and C. Furtado Ann. Phys. (Berlin) 522 2010 447
34. K. Bakke, and C. Furtado Phys. Rev. D 78 2008 064012
35. K. Bakke, and C. Furtado Eur. Phys. J. C 60 2009 501
36. K. Bakke, and C. Furtado Eur. Phys. J. C 64 2009 169
37. K. Bakke, and C. Furtado Phys. Rev. D 80 2009 024033
38. K. Bakke, and C. Furtado Eur. Phys. J. C 69 2010 531
39. M. Ericsson, and E. Sjöqvist Phys. Lett. A 303 2002 7
40. R. Ionicioiu Phys. Rev. A 68 2003 034305
41. K. Bakke, and C. Furtado Quantum Inf. Comput. 11 2011 0444
42. S. Weinberg Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity 1972 IE-Wiley New York
43. I.L. Shapiro Phys. Rep. 357 2002 113
44. J. Anandan Phys. Lett. A 138 1989 347
45. A.Ya. Silenko Russ. Phys. J. 48 2005 788
46. J. Anandan Phys. Rev. Lett. 85 2000 1354
47. N.D. Birrell, and P.C.W. Davies Quantum Fields in Curved Space 1982 Cambridge University Press Cambridge, UK
48. H. Kleinert Gauge Fields in Condensed Matter, vol. 2 1989 World Scientific Singapore
49. M.O. Katanaev, and I.V. Volovich Ann. Phys. (NY) 216 1992 1
50. V.A. Osipov J. Phys. A: Math. Gen. 26 1993 1375
51. F. Moraes Phys. Lett. A 214 1996 189
52. A. de Padua Phys. Lett. A 238 1998 153
53. F. Moraes Braz. J. Phys. 30 2000 304
54. L. Dias, and F. Moraes Braz. J. Phys. 35 2005 636
55. K. Bakke, A.M. de M. Carvalho, and C. Furtado Eur. Phys. J. C 63 2009 149
56. S. Azevedo, and F. Moraes Phys. Lett. A 246 1998 374
57. S. Azevedo, and F. Moraes Phys. Lett. A 267 2000 208
58. C. Furtado, F. Moraes, and A.M. de M. Carvalho Phys. Lett. A 372 2008 5368
59. S. Azevedo Phys. Lett. A 288 2001 33
60. S. Azevedo Mod. Phys. Lett. A 17 2002 1263
61. K. Bakke, L.R. Ribeiro, C. Furtado, and J.R. Nascimento Phys. Rev. D 79 2009 024008
62. K. Bakke, L. Ribeiro, and C. Furtado Cent. Eur. J. Phys. 8 2010 893
63. C. Filgueiras, E.O. Silva, W. Oliveira, and F. Moraes Ann. Phys. (NY) 325 2010 2529
64. K. Bakke, and C. Furtado Phys. Rev. D 82 2010 084025
65. K. Bakke J. Math. Phys. 51 2010 093516
66. K. Bakke Braz. J. Phys. 41 2011 167
67. M. Nakahara Geometry, Topology and Physics 1998 Institute of Physics Publishing Bristol
68. G. Spavieri Phys. Rev. Lett. 81 1998 1533
69. M. Wilkens Phys. Rev. Lett. 81 1998 1534
70. G. Spavieri Phys. Rev. Lett. 82 1999 3932
71. G. Spavieri Phys. Rev. A 59 1999 3194
72. W.H. Heiser, and J.A. Shercliff J. Fluid Mech. 22 1985 701
73. S.Y. Molokov, and J.E. Allen J. Phys. D 25 1992 393
74. S.Y. Molokov, and J.E. Allen J. Phys. D 25 1992 933
75. C. Chryssomalakos, A. Franco, and A. Reyes-Coronado Eur. J. Phys. 25 2004 489
76. V.M. Tkachuk Phys. Rev. A 62 2000 052112
77. C. Furtado, and C.A.D. Ribeiro Phys. Rev. A 69 2004 064104
78. P.M.A. Dirac Proc. R. Soc. London, Ser. A 133 1931 60
79. M.V. Berry Eur. J. Phys. 1 1980 240
80. G. Badurek, H. Weinfruter, R. Gähler, A. Kollmar, S. Wehinger, and A. Zeilinger Phys. Rev. Lett. 71 1993 307
81. M. Peshkin, and H.J. Lipkin Phys. Rev. Lett. 74 1995 2847
82. M. Peshkin Found. Phys. 29 1999 481
83. M.A. Nielsen, and I.L. Chuang Quantum Computation and Quantum Information 2000 Cambridge University Press Cambridge
84. B.E. Allman Phys. Rev. Lett. 68 1992 2409
85. B.E. Allman Phys. Rev. A 48 1993 1799