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Frontiers of Physics

ISSN 2095-0462

ISSN 2095-0470(Online)

CN 11-5994/O4

邮发代号 80-965

2019 Impact Factor: 2.502

Frontiers of Physics  2012, Vol. 7 Issue (1): 72-85   https://doi.org/10.1007/s11467-011-0233-9
  REVIEW ARTICLE 本期目录
Entanglement and nonlocality in multi-particle systems
Entanglement and nonlocality in multi-particle systems
Margaret D. Reid(), Qiong-Yi He, Peter D. Drummond
ARC Centre of Excellence for Quantum-Atom Optics, Centre for Atom Optics and Ultrafast Spectroscopy, Swinburne University of Technology, Melbourne 3122, Australia
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Abstract

Entanglement, the Einstein–Podolsky–Rosen (EPR) paradox and Bell’s failure of local-hiddenvariable (LHV) theories are three historically famous forms of “quantum nonlocality”. We give experimental criteria for these three forms of nonlocality in multi-particle systems, with the aim of better understanding the transition from microscopic to macroscopic nonlocality. We examine the nonlocality of N separated spin J systems. First, we obtain multipartite Bell inequalities that address the correlation between spin values measured at each site, and then we review spin squeezing inequalities that address the degree of reduction in the variance of collective spins. The latter have been particularly useful as a tool for investigating entanglement in Bose–Einstein condensates (BEC). We present solutions for two topical quantum states: multi-qubit Greenberger–Horne–Zeilinger (GHZ) states, and the ground state of a two-well BEC.

Key wordsentanglement    quantum nonlocality    multi-particle    two-well Bose–Einstein condensates (BEC)
收稿日期: 2011-09-14      出版日期: 2012-02-01
Corresponding Author(s): Reid Margaret D.,Email:MDREID@groupwise.swin.edu.au   
 引用本文:   
. Entanglement and nonlocality in multi-particle systems[J]. Frontiers of Physics, 2012, 7(1): 72-85.
Margaret D. Reid, Qiong-Yi He, Peter D. Drummond. Entanglement and nonlocality in multi-particle systems. Front. Phys. , 2012, 7(1): 72-85.
 链接本文:  
https://academic.hep.com.cn/fop/CN/10.1007/s11467-011-0233-9
https://academic.hep.com.cn/fop/CN/Y2012/V7/I1/72
1 J. S. Bell, Physics , 1964, 1: 195
2 J. Clauser, M. Horne, A. Shimony, and R. Holt, Phys. Rev. Lett. , 1969, 23(15): 880
3 E. Schr?dinger, Naturwiss ., 1935, 23: 807
4 E. Schr?dinger, Math. Proc. Camb. Philos. Soc. , 1935, 31(04): 555
5 E. Schr?dinger, Math. Proc. Camb. Philos. Soc. , 1936, 32(03): 446
6 A. J. Leggett, Supplement of the Progress of Theoretical Physics, 1980, 69: 80
7 A. Einstein, B. Podolsky, and N. Rosen, Phys. Rev. , 1935, 47(10): 777
8 D. M. Greenberger, M. Horne, and A. Zeilinger, in Bell’s Theorem, Quantum Theory and Conceptions of the Universe, edited by M. Kafatos, Dordrecht, The Netherlands: Kluwer Academic , 1989
9 N. D. Mermin, Phys. Today , 1990, 43: 9
10 N. D. Mermin, Phys. Rev. Lett. , 1990, 65(15): 1838
11 G. Svetlichny, Phys. Rev. D , 1987, 35(10): 3066
12 D. Collins, N. Gisin, S. Popescu, D. Roberts, and V. Scarani, Phys. Rev. Lett. , 2002, 88(17): 170405
13 C. Gross, T. Zibold, E. Nicklas, J. Estève, and M. K. Oberthaler, Nature , 2010, 464(7292): 1165
14 M. F. Riedel, P. B?hi, Y. Li, T. W. H?nsch, A. Sinatra, and P. Treutlein, Nature , 2010, 464(7292): 1170
15 M. D. Reid, P. D. Drummond, W. P. Bowen, P. K. Lam, H. A. Bachor, U. L. Andersen, and G. Leuchs, Rev. Mod. Phys. , 2009, 81(4): 1727
16 M. D. Reid, Phys. Rev. A , 1989, 40(2): 913
17 A. Peres, Phys. Rev. Lett. , 1996, 77(8): 1413
18 H. M. Wiseman, S. J. Jones, and A. C. Doherty, Phys. Rev. Lett. , 2007, 98(14): 140402
19 S. J. Jones, H. M. Wiseman, and A. C. Doherty, Phys. Rev. A , 2007, 76(5): 052116
20 E. G. Cavalcanti, S. J. Jones, H. M. Wiseman, and M. D. Reid, Phys. Rev. A , 2009, 80(3): 032112
21 M. J. Mallon, M. D. Reid, and M. K. Olsen, J. Phys. B , 2008, 41(1): 015501
22 B. S. Cirel’son, Lett. Math. Phys. , 1980, 4: 83
23 D. J. Saunders, S. J. Jones, H. M. Wiseman, and G. J. Pryde, Nat. Phys. , 2010, 6(11): 845
24 E. G. Cavalcanti, Q. Y. He, M. D. Reid, and H. M. Wiseman, Phys. Rev. A , 2011, 84(3): 032115
25 R. F. Werner, Phys. Rev. A , 1989, 40(8): 4277
26 A. Garg and N. Mermin, Phys. Rev. D , 1983, 27(2): 339
27 N. D. Mermin, Phys. Rev. D , 1980, 22(2): 356
28 P. D. Drummond, Phys. Rev. Lett. , 1983, 50(19): 1407
29 A. Peres, Found. Phys. , 1999, 29(4): 589
30 A. Peres, Phys. Rev. A , 1992, 46(7): 4413
31 N. Gisin and A. Peres, Phys. Lett. A , 1992, 162(1): 15
32 M. D. Reid, W. J. Munro, and F. De Martini, Phys. Rev. A , 2002, 66(3): 033801
33 D. Kaszlikowski, P. Gnacinski, M. Zukowski, W. Miklaszewski, and A. Zeilinger, Phys. Rev. Lett. , 2000, 85(21): 4418
34 D. Collins, N. Gisin, N. Linden, S. Massar, and S. Popescu, Phys. Rev. Lett. , 2002, 88(4): 040404
35 L. B. Fu, Phys. Rev. Lett. , 2004, 92(13): 130404
36 A. Acin, T. Durt, N. Gisin, and J. I. Latorre, Phys. Rev. A , 2002, 65(5): 052325
37 J. L. Chen, C. F. Wu, L. C. Kwek, C. H. Oh, and M. L. Ge, Phys. Rev. A , 2006, 74(3): 032106
38 M. Ardehali, Phys. Rev. A , 1992, 46(9): 5375
39 A. V. Belinskii and D. N. Klyshko, Physics-Uspekhi , 1993, 36: 654
40 R. F. Werner and M. M. Wolf, Phys. Rev. A , 2001, 64(3): 032112
41 S. M. Roy, Phys. Rev. Lett. , 2005, 94(1): 010402
42 E. G. Cavalcanti, C. J. Foster, M. D. Reid, and P. D. Drummond, Phys. Rev. Lett. , 2007, 99(21): 210405
43 E. Shchukin and W. Vogel, Phys. Rev. A , 2008, 78(3): 032104
44 A Salles, D. Cavalcanti, and A. Acin, Phys. Rev. Lett. , 2008, 101(4): 040404
45 Q. Y. He, E. G. Cavalcanti, M. D. Reid, and P. D. Drummond, Phys. Rev. Lett. , 2009, 103(18): 180402
46 Q. Y. He, E. G. Cavalcanti, M. D. Reid, and P. D. Drummond, Phys. Rev. A , 2010, 81(6): 062106
47 Q. Y. He, Shi-Guo Peng, P. D. Drummond, and M. D. Reid, Phys. Rev. A , 2011, 84(2): 022107
48 Q. Y. He, P. D. Drummond, and M. D. Reid, Phys. Rev. A , 2011, 83(3): 032120
49 A. Cabello, Phys. Rev. A , 2002, 65(6): 062105
50 W. Son, J. Lee, and M. S. Kim, Phys. Rev. Lett. , 2006, 96(6): 060406
51 J. L. Chen and D. L. Deng, Phys. Rev. A , 2009, 79(1): 012111
52 S. Ghose, N. Sinclair, S. Debnath, P. Rungta, and R. Stock, Phys. Rev. Lett. , 2009, 102(25): 250404
53 A. Ajoy and P. Rungta, Phys. Rev. A , 2010, 81(5): 052334
54 G. Toth and O. Guhne, Phys. Rev. A , 2005, 72(2): 022340
55 M. Kitagawa and M. Ueda, Phys. Rev. A , 1993, 47(6): 5138
56 D. J. Wineland, J. Bollinger, W. M. Itano, and D. J. Heinzen, Phys. Rev. A , 1994, 50(1): 67
57 H. F. Hofmann and S. Takeuchi, Phys. Rev. A , 2003, 68(3): 032103
58 A. S?enson, L.-M. Duan, J. I. Cirac, and P. Zoller, Nature , 2001, 409: 63
59 J. Esteve, C. Gross, A. Weller, S. Giovanazzi, and M. K. Oberthaler, Nature , 2008, 455: 1216
60 Q. Y. He, M. D. Reid, C. Gross, M. Oberthaler, and P. D. Drummond, Phys. Rev. Lett. , 2011, 106(12): 120405
61 A. S. S?rensen and K. M?lmer, Phys. Rev. Lett. , 2001, 86(20): 4431
62 F. Benatti, R. Floreanini, and U. Marzolino, J. Phys. B , 2011, 44(9): 091001
63 M. Hillery and M. S. Zubairy, Phys. Rev. Lett. , 2006, 96(5): 050503
64 E. Shchukin and W. Vogel, Phys. Rev. Lett. , 2005, 95(23): 230502
65 G. Toth, C. Knapp, O. Guhne, and H. Briegel, Phys. Rev. Lett. , 2007, 99(25): 250405
66 A. Bednorz and W. Belzig, Phys. Rev. B , 2011, 83(12): 125304
67 J. K. Korbicz, J. I. Cirac, and M. Lewenstein, Phys. Rev. Lett. , 2005, 95(12): 120502
68 E. G. Cavalcanti, P. D. Drummond, H. A. Bachor, and M. D. Reid, Opt. Express , 2009, 17(21): 18693
69 G. A. Durkin and C. Simon, Phys. Rev. Lett. , 2005, 95(18): 180402
70 V. Giovannetti, S. Mancini, D. Vitali, and P. Tombesi, Phys. Rev. A , 2003, 67(2): 022320
71 K. Dechoum, S. Chaturvedi, P. D. Drummond, and M. D. Reid, Phys. Rev. A , 2004, 70(5): 053807
72 E. G. Cavalcanti and M. D. Reid, J. Mod. Opt. , 2007, 54: 2373
73 A. J. Ferris, M. K. Olsen, E. G. Cavalcanti, and M. J. Davis, Phys. Rev. A , 2008, 78(6): 060104
74 N. Bar-Gill, C. Gross, I. Mazets, M. Oberthaler, and G. Kurizki, Phys. Rev. Lett. , 2011, 106(12): 120404
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