Please wait a minute...
Frontiers of Physics

ISSN 2095-0462

ISSN 2095-0470(Online)

CN 11-5994/O4

Postal Subscription Code 80-965

2018 Impact Factor: 2.483

Front. Phys.    2012, Vol. 7 Issue (1) : 109-130    https://doi.org/10.1007/s11467-011-0228-6
REVIEW ARTICLE
Nonlinear quantum interferometry with Bose condensed atoms
Chaohong Lee(), Jiahao Huang, Haiming Deng, Hui Dai, Jun Xu
State Key Laboratory of Optoelectronic Materials and Technologies, School of Physics and Engineering, Sun Yat-Sen University, Guangzhou 510275, China
 Download: PDF(694 KB)   HTML
 Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks
Abstract

In quantum interferometry, it is vital to control and utilize nonlinear interactions for the achievement of high-precision measurements. Due to their long coherence time and high controllability, ultracold atoms including Bose condensed atoms have been widely used for quantum interferometry. Here, we review recent progress in theoretical studies of quantum interferometry with Bose condensed atoms. In particular, we focus on nonlinear phenomena induced by atom–atom interactions, and how to control and utilize these nonlinear phenomena. With a mean-field description, due to atom–atom interactions, matter-wave solitons appear in the interference patterns, and macroscopic quantum self-trapping exists in Bose–Josephson junctions. With a many-body description, atom–atom interactions can generate non-classical entanglement, which can be utilized to achieve high-precision measurements beyond the standard quantum limit.

Keywords nonlinear quantum interferometry      Bose–Einstein condensate      Bose–Josephson junction     
Corresponding Author(s): Lee Chaohong,Email:chleecn@gmail.com, lichaoh2@mail.sysu.edu.cn   
Issue Date: 01 February 2012
 Cite this article:   
Chaohong Lee,Jiahao Huang,Haiming Deng, et al. Nonlinear quantum interferometry with Bose condensed atoms[J]. Front. Phys. , 2012, 7(1): 109-130.
 URL:  
https://academic.hep.com.cn/fop/EN/10.1007/s11467-011-0228-6
https://academic.hep.com.cn/fop/EN/Y2012/V7/I1/109
1 A. Griffin, D. W. Snoke, and S. Stringari, Bose–Einstein Condensation, Cambridge: Cambridge University Press, 1995
2 C. J. Pethick and H. Smith, Bose–Einstein Condensation in Dilute Gases, Cambridge: Cambridge University Press, 2002
3 L. Pitaevskii and S. Stringari, Bose–Einstein Condensation, Oxford: Oxford University Press, 2003
4 M. Ueda, Fundamentals and New Frontiers of Bose–Einstein Condensation, Singapore: World Scientific, 2010
5 E. A. Cornell and C. E. Wieman, Rev. Mod. Phys. , 2002, 74(3): 875
doi: 10.1103/RevModPhys.74.875
6 W. Ketterle, Rev. Mod. Phys. , 2002, 74(4): 1131
doi: 10.1103/RevModPhys.74.1131
7 M. Lewenstein, A. Sanpera, V. Ahufinger, B. Damski, A. Sen De, and U. Sen, Adv. Phys. , 2007, 56: 243
doi: 10.1080/00018730701223200
8 I. Bloch, J. Dalibard, and W. Zwerger, Rev. Mod. Phys. , 2008, 80(3): 885
doi: 10.1103/RevModPhys.80.885
9 A. D. Cronin, J. Schmiedmayer, and D. E. Pritchard, Rev. Mod. Phys. , 2009, 81(3): 1051
doi: 10.1103/RevModPhys.81.1051
10 A. S?rensen, L. M. Duan, J. Cirac, and P. Zoller, Nature , 2001, 409(6816): 63
doi: 10.1038/35051038
11 C. Lee, Phys. Rev. Lett. , 2006, 97(15): 150402
doi: 10.1103/PhysRevLett.97.150402
12 S. Boixo, A. Datta, M. J. Davis, S. T. Flammia, A. Shaji, and C. M. Caves, Phys. Rev. Lett. , 2008, 101(4): 040403
doi: 10.1103/PhysRevLett.101.040403
13 L. Pezzé and A. Smerzi, Phys. Rev. Lett. , 2009, 102(10): 100401
doi: 10.1103/PhysRevLett.102.100401
14 C. Gross, T. Zibold, E. Nicklas, J. Estève, and M. K. Oberthaler, Nature , 2010, 464(7292): 1165
doi: 10.1038/nature08919
15 M. F. Riedel, P. B?hi, Y. Li, T. W. H?nsch, A. Sinatra, and P. Treutlein, Nature , 2010, 464(7292): 1170
doi: 10.1038/nature08988
16 V. Giovannetti, S. Lloyd, and L. Maccone, Science , 2004, 306(5700): 1330
doi: 10.1126/science.1104149
17 J. Ye, H. J. Kimble, and H. Katori, Science , 2008, 320(5884): 1734
doi: 10.1126/science.1148259
18 J. Appel, P. J. Windpassinger, D. Oblak, U. B. Hoff, N. Kj?rgaard, and E. S. Polzik, Proc. Natl. Acad. Sci. USA , 2009, 106(27): 10960
doi: 10.1073/pnas.0901550106
19 V. Giovannetti, S. Lloyd, and L. Maccone, Nat. Photon. , 2011, 5(4): 222
doi: 10.1038/nphoton.2011.35
20 B.M. Escher, R. L. de Matos, and L. Davidovich, Nat. Phys. , 2011, 7(5): 406
doi: 10.1038/nphys1958
21 J. Ma, X. G. Wuang, C. P. Sun, and F. Nori, arXiv:1011.2978v2 , 2010
22 F. Benatti, R. Floreanini, and U. Marzolino, Ann. Phys. , 2010, 325(4): 924
doi: 10.1016/j.aop.2010.01.005
23 F. Benatti, R. Floreanini, and U. Marzolino, J. Phys. B , 2011, 44(9): 091001
doi: 10.1088/0953-4075/44/9/091001
24 G. Argentieri, F. Benatti, R. Floreanini, and U. Marzolino, arXiv:1107.5071 , 2011
25 M. Zwierz, C. A. Pérez-Delgado, and P. Kok, Phys. Rev. Lett. , 2010, 105(18): 180402
doi: 10.1103/PhysRevLett.105.180402
26 M. Zwierz, C. A. Pérez-Delgado, and P. Kok, Phys. Rev. Lett. , 2011, 107(5): 059904(E)
doi: 10.1103/PhysRevLett.107.059904
27 A. Derevianko and H. Katori, Rev. Mod. Phys. , 2011, 83(2): 331
doi: 10.1103/RevModPhys.83.331
28 S. L. Rolston and W. D. Phillips, Nature , 2002, 416(6877): 219
doi: 10.1038/416219a
29 L. Deng, E. W. Hagley, J. Wen, M. Trippenbach, Y. Band, P. S. Julienne, J. E. Simsarian, K. Helmerson, S. L. Rolston, and W. D. Phillips, Nature , 1999, 398(6724): 218
doi: 10.1038/18395
30 J. Denschlag, J. E. Simsarian, D. L. Feder, C. W. Clark, L. A. Collins, J. Cubizolles, L. Deng, E. W. Hagley, K. Helmerson, W. P. Reinhardt, S. L. Rolston, B. I. Schneider, and W. D. Phillips, Science , 2000, 287(5450): 97
doi: 10.1126/science.287.5450.97
31 S. Burger, K. Bongs, S. Dettmer, W. Ertmer, K. Sengstock, A. Sanpera, G. V. Shlyapnikov, and M. Lewenstein, Phys. Rev. Lett. , 1999, 83(25): 5198
doi: 10.1103/PhysRevLett.83.5198
32 L. Khaykovich, F. Schreck, G. Ferrari, T. Bourdel, J. Cubizolles, L. D. Carr, Y. Castin, and C. Salomon, Science , 2002, 296(5571): 1290
doi: 10.1126/science.1071021
33 K. E. Strecker, G. B. Partridge, A. G. Truscott, and R. G. Hulet, Nature , 2002, 417(6885): 150
doi: 10.1038/nature747
34 C. Lee, W. H. Hai, L. Shi, X. W. Zhu, and K. L. Gao, Phys. Rev. A , 2001, 64(5): 053604
35 W. H. Hai, C. Lee, G. S. Chong, and L. Shi, Phys. Rev. E , 2002, 66(2): 026202
36 Q. Thommen, J. C. Garreau, and V. Zehnle, Phys. Rev. Lett. , 2003, 91(21): 210405
37 M. B. d’Arcy, G. S. Summy, S. Fishman, and I. Guarneri, Physica Scripta , 2004, 69(6): C25
38 C. Chin, R. Grimm, P. Julienne, and E. Tiesinga, Rev. Mod. Phys. , 2010, 82(2): 1225
39 S. E. Pollack, D. Dries, M. Junker, Y. P. Chen, T. A. Corcovilos, and R. G. Hulet, Phys. Rev. Lett. , 2009, 102(9): 090402
40 I. Vidanovic, A. Balaz, H. Al-Jibbouri, and A. Pelster, Phys. Rev. A , 2011, 84(1): 013618
41 M. A. Kasevich, Comptes Rendus de l’Academie des Sciences- Series IV- Physics, 2001, Vol. 2: 497
42 F. Minardi, C. Forta, P. Maddaloni, M. Modugnoa, and M. Inguscio, Comptes Rendus de l’Academie des Sciences- Series IV- Physics, 2001 , Vol. 2: 605
43 M. A. Kasevich, Science , 2002, 298(5597): 1363
44 S. Giorgini, L. P. Pitaevskii, and S. Stringari, Rev. Mod. Phys. , 1999, 71(3): 463
45 A. J. Leggett, Rev. Mod. Phys. , 2001, 73(2): 307
46 M. R. Andrews, C. G. Townsend, H. J. Miesner, D. S. Durfee, D. M. Kurn, and W. Ketterle, Science , 1997, 275(5300): 637
47 Y. Shin, M. Saba, T. Pasquini, W. Ketterle, D. E. Pritchard, and A. E. Leanhardt, Phys. Rev. Lett. , 2004, 92(5): 050405
48 T. Schumm, S. Hofferberth, L. M. Anderson, S. Wildermuth, S. Groth, I. Bar-Joeseph, J. Schmiedmayer, and P. Krüger, Nat. Phys. , 2005, 1(1): 57
49 T. Schumm, P. Krueger, S. Hofferberth, I. Lesanovsky, S. Wildermuth, S. Groth, I. Bar-Joseph, L. M. Andersson, and J. Schmiedmayer, Quantum Information Processing , 2006, 5: 537
50 M. Albiez, R. Gati, J. F?lling, S. Hunsmann, M. Cristiani, and M. K. Oberthaler, Phys. Rev. Lett. , 2005, 95(1): 010402
51 R. Gati and M. K. Oberthaler, J. Phys. B , 2007, 40(10): R61
52 V. M. Perez-Garcia, H. Michinel, and H. Herrero, Phys. Rev. A , 1998, 57(5): 3837
53 L. D. Carr and J. Brand, Phys. Rev. Lett. , 2004, 92(4): 040401
54 W. P. Reinhardt and C. W. Clark, J. Phys. B , 1997, 30(22): L785
55 A. Negretti and C. Henkel, J. Phys. B , 2004, 37(23): L385
56 C. Lee, E. A. Ostrovskaya, and Yu. S. Kivshar, J. Phys. B , 2007, 40: 4235
57 W. M. Liu, B. Wu, and Q. Niu, Phys. Rev. Lett. , 2000, 84(11): 2294
58 G. B. Jo, J. H. Choi, C. A. Christensen, T. A. Pasquini, Y. R. Lee, W. Ketterle, and D. E. Pritchard, Phys. Rev. Lett. , 2007, 98(18): 180401
59 A. Weller, J. P. Ronzheimer, C. Gross, J. Esteve, M. K. Oberthaler, D. J. Frantzeskakis, G. Theocharis, and P. G. Kevrekidis, Phys. Rev. Lett. , 2008, 101(13): 130401
60 J. J. Chang, P. Engels, and M. A. Hoefer, Phys. Rev. Lett. , 2008, 101(17): 170404
61 I. Shomroni, E. Lahoud, S. Levy, and J. Steinhauer, Nat. Phys. , 2009, 5(3): 193
62 B. D. Josephson, Phys. Lett. , 1962, 1(7): 251
63 B. D. Josephson, Rev. Mod. Phys. , 1974, 46(2): 251
64 D. S. Hall, M. R. Matthews, J. R. Ensher, C. E. Wieman, and E. A. Cornell, Phys. Rev. Lett. , 1998, 81(8): 1539
65 A. Smerzi, A. Trombettoni, T. Lopez-Arias, C. Fort, P. Maddaloni, F. Minardi, and M. Inguscio, Eur. Phys. J. B , 2003, 31(4): 457
66 M. Egorov, R. P. Anderson, V. Ivannikov, B. Opanchuk, P. Drummond, B. V. Hall, and A. I. Sidorov, Phys. Rev. A , 2011, 84(2): 021605 (R)
67 R. Qi, X. L. Yu, Z. B. Li, and W. M. Liu, Phys. Rev. Lett. , 2009, 102(18): 185301
68 F. S. Cataliotti, S. Burger, C. Fort, P. Maddaloni, F. Minardi, A. Trombettoni, A. Smerzi, and M. Inguscio, Science , 2001, 293(5531): 843
69 B. P. Anderson and M. A. Kasevich, Science , 1998, 282(5394): 1686
70 O. Morsch and M. Oberthaler, Rev. Mod. Phys. , 2006, 78(1): 179
71 V. M. Kenkre and D. K. Campbell, Phys. Rev. B , 1986, 34(7): 4959
72 A. Smerzi, S. Fantoni, S. Giovanazzi, and S. R. Shenoy, Phys. Rev. Lett. , 1997, 79(25): 4950
73 S. Raghavan, A. Smerzi, S. Fantoni, and S. R. Shenoy, Phys. Rev. A , 1999, 59(1): 620
74 L. M. Kuang and Z. W. Ouyang, Phys. Rev. A , 2000, 61(2): 023604
75 B. Hu and L. M. Kuang, Phys. Rev. A , 2000, 62(2): 023610
76 B. Wu and Q. Niu, Phys. Rev. A , 2000, 61(2): 023402
77 J. Liu, L. B. Fu, B. Y. Ou, S. G. Chen, D. I. Choi, B. Wu, and Q. Niu, Phys. Rev. A , 2002, 66(2): 023404
78 M. Jona-Lasinio, O. Morsch, M. Cristiani, N. Malossi, J. H. Müller, E. Courtade, M. Anderlini, and E. Arimondo, Phys. Rev. Lett. , 2003, 91(23): 230406
79 E. A. Ostrovskaya, Yu. S. Kivshar, M. Lisak, B. Hall, F. Cattani, and D. Anderson, Phys. Rev. A , 2000, 61(3): 031601 (R)
80 G. J. Milburn, J. Corney, E. M. Wright, and D. F. Walls, Phys. Rev. A , 1997, 55(6): 4318
81 J. Williams, R. Walser, J. Cooper, E. Cornell, and M. Holland, Phys. Rev. A , 1999, 59(1): R31
82 C. Lee, W. H. Hai, L. Shi, and K. L. Gao, Phys. Rev. A , 2004, 69(3): 033611
83 S. Levy, E. Lahoud, I. Shomroni, and J. Steinhauer, Nature , 2007, 449(7162): 579
84 C. C. Gerry and P. L. Knight, Introductory Quantum Optics, Cambridge: Cambridge University Press, 2005
85 A. Barone and G. Paterno, Physics and Applications of the Josephson Effect, New York: Wiley, 1982
86 A. Eckardt, T. Jinasundera, C. Weiss, and M. Holthaus, Phys. Rev. Lett. , 2005, 95(20): 200401
87 C. Sias, H. Lignier, Y. P. Singh, A. Zenesini, D. Ciampini, O. Morsch, and E. Arimondo, Phys. Rev. Lett. , 2008, 100(4): 040404
88 Q. T. Xie, S. G. Rong, H. H. Zhong, G. B. Lu, and W. H. Hai, Phys. Rev. A , 2010, 82(2): 023616
89 Y. Wu and X. X. Yang, Phys. Rev. Lett. , 2007, 98(1): 013601
90 F. Kh. Abdullaev and R. A. Kraenkel, Phys. Rev. A , 2000, 62(2): 023613
91 Q. T. Xie, Phys. Rev. A , 2007, 76(4): 043622
92 X. B. Luo, Q. T. Xie, and B. Wu, Phys. Rev. A , 2008, 77(5): 053601
93 Q. T. Xie and W. H. Hai, Phys. Rev. A , 2009, 80(5): 053603
94 S.M. Baer, T. Erneux, and J. Rinzel, SIAM J. Appl. Math. , 1989, 49(1): 55
95 N. Berglund and H. Kunz, J. Phys. A , 1999, 32(1): 15
96 J. Dziarmaga, Adv. Phys. , 2010, 59(6): 1063
97 T. W. B. Kibble, J. Phys. A , 1976, 9(8): 1387
98 W. H. Zurek, Nature , 1985, 317(6037): 505
99 W. H. Zurek, Phys. Rep. , 1996, 276(4): 177
100 C. Lee, Phys. Rev. Lett. , 2009, 102(7): 070401
101 H. Feshbach, Ann. Phys. , 1958, 5(4): 357
102 U. Fano, Phys. Rev. , 1961, 124(6): 1866
103 M. Ueda, Y. Kawaguchi, H. Saito, R. Kanamoto, and T. Nakajima, AIP Conf. Proc. , 2006, 869: 165
104 R. Ozeri, N. Katz, J. Steinhauer, and N. Davidson, Rev. Mod. Phys. , 2005, 77(1): 187
105 W. H. Zurek, U. Dorner, and P. Zoller, Phys. Rev. Lett. , 2005, 95(10): 105701
106 J. Dziarmaga, Phys. Rev. Lett. , 2005, 95(24): 245701
107 A. Polkovnikov and V. Gritsev, Nat. Phys. , 2008, 4(6): 477
108 J. Liu, B. Wu, and Q. Niu, Phys. Rev. Lett. , 2003, 90(17): 170404
109 B. Wu and J. Liu, Phys. Rev. Lett. , 2006, 96(2): 020405
110 H. Pu, P. Maenner, W. P. Zhang, and H. Y. Ling, Phys. Rev. Lett. , 2007, 98(5): 050406
111 H. Y. Ling, P. Maenner, W. P. Zhang, and H. Pu, Phys. Rev. A , 2007, 75(3): 033615
112 D. Jaksch, C. Bruder, J. I. Cirac, C. W. Gardiner, and P. Zoller, Phys. Rev. Lett. , 1998, 81(15): 3108
113 L. M. Duan, E. Demler, and M. D. Lukin, Phys. Rev. Lett. , 2003, 91(9): 090402
114 C. Lee, Phys. Rev. Lett. , 2004, 93(12): 120406
115 Y. Wu and X. X. Yang, J. Opt. Soc. Am. B , 2006, 23(9): 1888
116 C. Orzel, A. K. Tuchman, M. L. Fenselau, M. Yasuda, and M. A. Kasevich, Science , 2001, 291(5512): 2386
117 J. Estève1, C. Gross, A. Weller, S. Giovanazzi, and M. K. Oberthaler, Nature , 2008, 455: 1216
118 M. Greiner, O. Mandel, T. Esslinger, T. W. H?nsch, and I. Bloch, Nature , 2002, 415(6867): 39
119 M. Greiner, O. Mandel, T. W. H?nsch, and I. Bloch, Nature , 2002, 419(6902): 51
120 S. Choi, D. Stromberg, and B. Sundaram, Phys. Rev. A , 2008, 77(4): 043620
121 S. Choi and B. Sundaram, Phys. Rev. A , 2008, 77(5): 053613
122 S. Boixo, A. Datta, M. J. Davis, A. Shaji, A. B. Tacla, and C. M. Caves, Phys. Rev. A , 2009, 80(3): 032103
123 A. B. Tacla, S. Boixo, A. Datta, A. Shaji, and C. M. Caves, Phys. Rev. A , 2010, 82(5): 053636
124 S. Boixo, A. Datta, M. J. Davis, S. T. Flammia, A. Shaji, A. B. Tacla, and C. M. Caves, AIP Conf. Proc. , 2009, 1110: 423
125 A. Polkovnikov, E. Altman, and E. Demler, Proc. Natl. Acad. Sci. USA , 2006, 103(16): 6125
126 A. Imambekov, V. Gritsev, and E. Demler, Proceedings of the Enrico Fermi Summer School on Ultracold Fermi Gases 2006, Amsterdam: IOS Press, 2007, see also: arXiv:condmat/0703766, 2007
127 S. Hofferberth, I. Lesanovsky, B. Fischer, T. Schumm, and J. Schmiedmayer, Nature , 2007, 449(7160): 324
128 S. Hofferberth, I. Lesanovsky, T. Schumm, J. Schmiedmayer, A. Imambekov, V. Gritsev, and E. Demler, Nat. Phys. , 2008, 4(6): 489
129 H. Pu, W. P. Zhang, and P. Meystre, Phys. Rev. Lett. , 2002, 89(9): 090401
130 C. Lee, W. H. Hai, X. L. Luo, L. Shi, and K. L. Gao, Phys. Rev. A , 2003, 68(5): 053614
131 Y. Wu and X. X. Yang, Phys. Rev. A , 2003, 68(1): 013608
132 C. Lee, L. B. Fu, and Yu. S. Kivshar, Europhys. Lett. , 2008, 81(6): 60006
133 K. Capelle, M. Borgh, K. K?rkk?inen, and S. M. Reimann, Phys. Rev. Lett. , 2007, 99(1): 010402
134 D. R. Dounas-Frazer, A. M. Hermundstad, and L. D. Carr, Phys. Rev. Lett. , 2007, 99(20): 200402
135 P. Cheinet, S. Trotzky, M. Feld, U. Schnorrberger, M. Moreno-Cardoner, S. F?lling, and I. Bloch, Phys. Rev. Lett. , 2008, 101(9): 090404
136 D. F. Walls and G. J. Milburn, Quantum Optics, Berlin: Springer-Verlag, 2008
137 M. O. Scully and M. S. Zubairy, Quantum Optics, Cambridge: Cambridge University Press, 1997
138 C. M. Caves, Phys. Rev. D , 1981, 23(8): 1693
139 R. S. Bondurant and J. H. Shapiro, Phys. Rev. D , 1984, 30(12): 2548
140 W. M. Zhang, D. H. Feng, and R. Gilmore, Rev. Mod. Phys. , 1990, 62(4): 867
141 M. Kitagawa and M. Ueda, Phys. Rev. A , 1993, 47(6): 5138
142 J. R. Anglin, P. Drummond, and A. Smerzi, Phys. Rev. A , 2001, 64(6): 063605
143 C. Weiss and N. Teichmann, Phys. Rev. Lett. , 2008, 100(14): 140408
144 D. F. Walls and P. Zoller, Phys. Rev. Lett. , 1981, 47(10): 709
145 D. J. Wineland, J. J. Bollinger, W. M. Itano, F. L. Moore, and D. J. Heinzen, Phys. Rev. A , 1992, 46(11): R6797
146 D. J. Wineland, J. J. Bollinger, W. M. Itano, and D. J. Heinzen, Phys. Rev. A , 1994, 50(1): 67
147 Q. Y. He, S. G. Peng, P. D. Drummond, and M. D. Reid, Phys. Rev. A , 2011, 84(2): 022107
148 Y. Li, Y. Castin, and A. Sinatra, Phys. Rev. Lett. , 2008, 100(21): 210401
149 G. R. Jin, Y. An, T. Yan, and Z. S. Lu, Phys. Rev. A , 2010, 82(6): 063622
150 Y. C. Liu, G. R. Jin, and L. You, Phys. Rev. A , 2010, 82(4): 045601
151 I. Tikhonenkov, M. G. Moore, and A. Vardi, Phys. Rev. A , 2010, 82(4): 043624
152 K. Maussang, G. E. Marti, T. Schneider, P. Treutlein, Y. Li, A. Sinatra, R. Long, J. Estève, and J. Reichel, Phys. Rev. Lett. , 2010, 105(8): 080403
153 A. Sinatra, E. Witkowska, J. C. Dornstetter, Y. Li, and Y. Castin, Phys. Rev. Lett. , 2011, 107(6): 060404
154 M. G. Genoni, S. Olivares, and M. G. A. Paris, Phys. Rev. Lett. , 2011, 106(15): 153603
155 J. Hald, J. L. S?rensen, C. Schori, and E. S. Polzik, Phys. Rev. Lett. , 1999, 83(7): 1319
156 K. M?lmer and A. S?rensen, Phys. Rev. Lett. , 1999, 82(9): 1835
157 Y. C. Liu, Z. F. Xu, G. R. Jin, and L. You, Phys. Rev. Lett. , 2011, 107(1): 013601
158 A. Kuzmich, L. Mandel, and N. P. Bigelow, Phys. Rev. Lett. , 2000, 85(8): 1594
159 V. Meyer, M. A. Rowe, D. Kielpinski, C. A. Sackett, W. M. Itano, C. Monroe, and D. J. Wineland, Phys. Rev. Lett. , 2001, 86(26): 5870
160 D. Leibfried, M. D. Barrett, T. Schaetz, J. Britton, J. Chiaverini, W. M. Itano, J. D. Jost, C. Langer, and D. J. Wineland, Science , 2004, 304(5676): 1476
161 C. F. Roos, M. Chwalla, K. Kim, M. Riebe, and R. Blatt, Nature , 2006, 443(7109): 316
162 B. C. Sanders, Phys. Rev. A , 1989, 40(5): 2417
163 A. N. Boto, P. Kok, D. S. Abrams, S. L. Braunstein, C. P. Williams, and J. P. Dowling, Phys. Rev. Lett. , 2000, 85(13): 2733
164 H. Lee, P. Kok, and J. P. Dowling, J. Mod. Opt. , 2002, 49(14-15): 2325
165 J. J. Bollinger, WayneM. Itano, and D. J. Wineland, Phys. Rev. A , 1996, 54(6): R4649
166 B. Yurke and D. Stoler, Phys. Rev. Lett. , 1986, 57(1): 13
167 Y. Castin, Bose–Einstein condensates in atomic gases: simple theoretical results, in: Coherent atomic matter waves, Lecture Notes of Les Houches Summer School, pp 1-136, edited by R. Kaiser, C. Westbrook, and F. David, EDP Sciences and Springer-Verlag , 2001
168 X. X. Yang and Y. Wu, Commun. Theor. Phys. , 2009, 52: 244
169 K. W. Mahmud, H. Perry, and W. P. Reinhardt, J. Phys. B , 2003, 36(17): L265
170 K. W. Mahmud, H. Perry, and W. P. Reinhardt, Phys. Rev. A , 2005, 71(2): 023615
171 M. A. Leung, K. W. Mahmud, and W. P. Reinhardt, arXiv:1006.2556 , 2010
172 G. Watanabe and C. J. Pethick, Phys. Rev. A , 2007, 76(2): 021605(R)
173 G. Watanabe, Phys. Rev. A , 2010, 81(2): 021604(R)
174 K. Helmerson and L. You, Phys. Rev. Lett. , 2001, 87(17): 170402
175 L. D. Carr, D. R. Dounas-Frazer, and M. A. Garcia-March, Europhys. Lett. , 2010, 90(1): 10005
176 Y. Li, P. Treutlein, J. Reichel, and A. Sinatra, Eur. Phys. J. B , 2009, 68(3): 365
177 H. Krauter, C. A. Muschik, K. Jensen, W. Wasilewski, J. M. Petersen, J. I. Cirac, and E. S. Polzik, Phys. Rev. Lett. , 2011, 107(8): 080503
178 G. Watanabe and H. Makela, arXiv:1101.4845 , 2011
179 M. Kacprowicz, R. Demkowicz-Dobrzański, W. Wasilewski, K. Banaszek, and I. A. almsley, Nat. Photon. , 2010, 4: 357
180 B. L¨ucke, M. Scherer, J. Kruse, L. Pezzé, F. Deuretzbacher, P. Hyllus, O. Topic, J. Peise, W. Ertmer, J. Arlt, L. Santos, A. Smerzi, and C. Klempt, Science , 2011, 334: 773
[1] Han-Lei Zheng, Qiang Gu. Dynamics of Bose–Einstein condensates in a one-dimensional optical lattice with double-well potential[J]. Front. Phys. , 2013, 8(4): 375-380.
[2] Yu-Ren Shi (石玉仁), Xue-Ling Wang (王雪玲), Guang-Hui Wang (王光辉), Cong-Bo Liu (刘丛波), Zhi-Gang Zhou (周志刚), Hong-Juan Yang(杨红娟). Analytical solutions for the spin-1 Bose–Einstein condensate in a harmonic trap[J]. Front. Phys. , 2013, 8(3): 319-327.
[3] Shu-Wei Song, Lin Wen, Chao-Fei Liu, S.-C. Gou, Wu-Ming Liu. Ground states, solitons and spin textures in spin-1 Bose–Einstein condensates[J]. Front. Phys. , 2013, 8(3): 302-318.
[4] Margaret D. Reid, Qiong-Yi He, Peter D. Drummond. Entanglement and nonlocality in multi-particle systems[J]. Front. Phys. , 2012, 7(1): 72-85.
[5] Alice Sinatra, Jean-Christophe Dornstetter, Yvan Castin. Spin squeezing in Bose–Einstein condensates: Limits imposed by decoherence and non-zero temperature[J]. Front. Phys. , 2012, 7(1): 86-97.
[6] Guang-ri JIN, Yong-chun LIU, Li YOU. Optimal phase sensitivity of atomic Ramsey interferometers with coherent spin states[J]. Front. Phys. , 2011, 6(3): 251-257.
[7] Ke-ye ZHANG (张可烨), Lu ZHOU (周鲁), Guang-jiong DONG (董光烔), Wei-ping ZHANG (张卫平). Cavity optomechanics with cold atomic gas[J]. Front. Phys. , 2011, 6(3): 237-250.
[8] Xiao-fei ZHANG (张晓斐), Xing-hua HU (胡兴华), Deng-shan WANG (王灯山), Xun-xu LIU (刘循序), Wu-ming LIU (刘伍明). Dynamics of Bose–Einstein condensates near Feshbach resonance in external potential[J]. Front. Phys. , 2011, 6(1): 46-60.
[9] BAO Cheng-guang. One-body and Two-body Fractional Parentage Coefficients for Spinor Bose–Einstein Condensation[J]. Front. Phys. , 2006, 1(1): 92-96.
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed