Skip to main content
SpringerLink
Log in

Nonlinear quantum interferometry with Bose condensed atoms

  • Review Article
  • Published:
Frontiers of Physics Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. A. Griffin, D. W. Snoke, and S. Stringari, Bose-Einstein Condensation, Cambridge: Cambridge University Press, 1995

    Google Scholar 

  2. C. J. Pethick and H. Smith, Bose-Einstein Condensation in Dilute Gases, Cambridge: Cambridge University Press, 2002

    Google Scholar 

  3. L. Pitaevskii and S. Stringari, Bose-Einstein Condensation, Oxford: Oxford University Press, 2003

    MATH  Google Scholar 

  4. M. Ueda, Fundamentals and New Frontiers of Bose-Einstein Condensation, Singapore: World Scientific, 2010

    MATH  Google Scholar 

  5. E. A. Cornell and C. E. Wieman, Rev. Mod. Phys., 2002, 74(3): 875

    ADS  Google Scholar 

  6. W. Ketterle, Rev. Mod. Phys., 2002, 74(4): 1131

    ADS  Google Scholar 

  7. M. Lewenstein, A. Sanpera, V. Ahufinger, B. Damski, A. Sen De, and U. Sen, Adv. Phys., 2007, 56: 243

    ADS  Google Scholar 

  8. I. Bloch, J. Dalibard, and W. Zwerger, Rev. Mod. Phys., 2008, 80(3): 885

    ADS  Google Scholar 

  9. A. D. Cronin, J. Schmiedmayer, and D. E. Pritchard, Rev. Mod. Phys., 2009, 81(3): 1051

    ADS  Google Scholar 

  10. A. Sørensen, L. M. Duan, J. Cirac, and P. Zoller, Nature, 2001, 409(6816): 63

    ADS  Google Scholar 

  11. C. Lee, Phys. Rev. Lett., 2006, 97(15): 150402

    ADS  Google Scholar 

  12. S. Boixo, A. Datta, M. J. Davis, S. T. Flammia, A. Shaji, and C. M. Caves, Phys. Rev. Lett., 2008, 101(4): 040403

    ADS  Google Scholar 

  13. L. Pezzé and A. Smerzi, Phys. Rev. Lett., 2009, 102(10): 100401

    MathSciNet  ADS  Google Scholar 

  14. C. Gross, T. Zibold, E. Nicklas, J. Estève, and M. K. Oberthaler, Nature, 2010, 464(7292): 1165

    ADS  Google Scholar 

  15. M. F. Riedel, P. Böhi, Y. Li, T. W. Hänsch, A. Sinatra, and P. Treutlein, Nature, 2010, 464(7292): 1170

    ADS  Google Scholar 

  16. V. Giovannetti, S. Lloyd, and L. Maccone, Science, 2004, 306(5700): 1330

    ADS  Google Scholar 

  17. J. Ye, H. J. Kimble, and H. Katori, Science, 2008, 320(5884): 1734

    ADS  Google Scholar 

  18. J. Appel, P. J. Windpassinger, D. Oblak, U. B. Hoff, N. Kjærgaard, and E. S. Polzik, Proc. Natl. Acad. Sci. USA, 2009, 106(27): 10960

    ADS  Google Scholar 

  19. V. Giovannetti, S. Lloyd, and L. Maccone, Nat. Photon., 2011, 5(4): 222

    ADS  Google Scholar 

  20. B.M. Escher, R. L. de Matos, and L. Davidovich, Nat. Phys., 2011, 7(5): 406

    Google Scholar 

  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

    MathSciNet  ADS  MATH  Google Scholar 

  23. F. Benatti, R. Floreanini, and U. Marzolino, J. Phys. B, 2011, 44(9): 091001

    ADS  Google Scholar 

  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

    ADS  Google Scholar 

  26. M. Zwierz, C. A. Pérez-Delgado, and P. Kok, Phys. Rev. Lett., 2011, 107(5): 059904 (E)

    ADS  Google Scholar 

  27. A. Derevianko and H. Katori, Rev. Mod. Phys., 2011, 83(2): 331

    ADS  Google Scholar 

  28. S. L. Rolston and W. D. Phillips, Nature, 2002, 416(6877): 219

    ADS  Google Scholar 

  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

    ADS  Google Scholar 

  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

    ADS  Google Scholar 

  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

    ADS  Google Scholar 

  32. L. Khaykovich, F. Schreck, G. Ferrari, T. Bourdel, J. Cubizolles, L. D. Carr, Y. Castin, and C. Salomon, Science, 2002, 296(5571): 1290

    ADS  Google Scholar 

  33. K. E. Strecker, G. B. Partridge, A. G. Truscott, and R. G. Hulet, Nature, 2002, 417(6885): 150

    ADS  Google Scholar 

  34. C. Lee, W. H. Hai, L. Shi, X. W. Zhu, and K. L. Gao, Phys. Rev. A, 2001, 64(5): 053604

    ADS  Google Scholar 

  35. W. H. Hai, C. Lee, G. S. Chong, and L. Shi, Phys. Rev. E, 2002, 66(2): 026202

    ADS  Google Scholar 

  36. Q. Thommen, J. C. Garreau, and V. Zehnle, Phys. Rev. Lett., 2003, 91(21): 210405

    ADS  Google Scholar 

  37. M. B. d’Arcy, G. S. Summy, S. Fishman, and I. Guarneri, Physica Scripta, 2004, 69(6): C25

    MATH  Google Scholar 

  38. C. Chin, R. Grimm, P. Julienne, and E. Tiesinga, Rev. Mod. Phys., 2010, 82(2): 1225

    ADS  Google Scholar 

  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

    ADS  Google Scholar 

  40. I. Vidanovic, A. Balaz, H. Al-Jibbouri, and A. Pelster, Phys. Rev. A, 2011, 84(1): 013618

    ADS  Google Scholar 

  41. M. A. Kasevich, Comptes Rendus de l’Academie des Sciences — Series IV — Physics, 2001, Vol. 2: 497

    ADS  Google Scholar 

  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

    Google Scholar 

  43. M. A. Kasevich, Science, 2002, 298(5597): 1363

    ADS  Google Scholar 

  44. S. Giorgini, L. P. Pitaevskii, and S. Stringari, Rev. Mod. Phys., 1999, 71(3): 463

    ADS  Google Scholar 

  45. A. J. Leggett, Rev. Mod. Phys., 2001, 73(2): 307

    ADS  Google Scholar 

  46. M. R. Andrews, C. G. Townsend, H. J. Miesner, D. S. Durfee, D. M. Kurn, and W. Ketterle, Science, 1997, 275(5300): 637

    Google Scholar 

  47. Y. Shin, M. Saba, T. Pasquini, W. Ketterle, D. E. Pritchard, and A. E. Leanhardt, Phys. Rev. Lett., 2004, 92(5): 050405

    ADS  Google Scholar 

  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

    Google Scholar 

  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

    MATH  Google Scholar 

  50. M. Albiez, R. Gati, J. Fölling, S. Hunsmann, M. Cristiani, and M. K. Oberthaler, Phys. Rev. Lett., 2005, 95(1): 010402

    ADS  Google Scholar 

  51. R. Gati and M. K. Oberthaler, J. Phys. B, 2007, 40(10): R61

    ADS  Google Scholar 

  52. V. M. Perez-Garcia, H. Michinel, and H. Herrero, Phys. Rev. A, 1998, 57(5): 3837

    ADS  Google Scholar 

  53. L. D. Carr and J. Brand, Phys. Rev. Lett., 2004, 92(4): 040401

    ADS  Google Scholar 

  54. W. P. Reinhardt and C. W. Clark, J. Phys. B, 1997, 30(22): L785

    ADS  Google Scholar 

  55. A. Negretti and C. Henkel, J. Phys. B, 2004, 37(23): L385

    ADS  Google Scholar 

  56. C. Lee, E. A. Ostrovskaya, and Yu. S. Kivshar, J. Phys. B, 2007, 40: 4235

    ADS  Google Scholar 

  57. W. M. Liu, B. Wu, and Q. Niu, Phys. Rev. Lett., 2000, 84(11): 2294

    ADS  Google Scholar 

  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

    ADS  Google Scholar 

  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

    ADS  Google Scholar 

  60. J. J. Chang, P. Engels, and M. A. Hoefer, Phys. Rev. Lett., 2008, 101(17): 170404

    ADS  Google Scholar 

  61. I. Shomroni, E. Lahoud, S. Levy, and J. Steinhauer, Nat. Phys., 2009, 5(3): 193

    Google Scholar 

  62. B. D. Josephson, Phys. Lett., 1962, 1(7): 251

    ADS  MATH  Google Scholar 

  63. B. D. Josephson, Rev. Mod. Phys., 1974, 46(2): 251

    ADS  Google Scholar 

  64. D. S. Hall, M. R. Matthews, J. R. Ensher, C. E. Wieman, and E. A. Cornell, Phys. Rev. Lett., 1998, 81(8): 1539

    ADS  Google Scholar 

  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

    ADS  Google Scholar 

  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)

    ADS  Google Scholar 

  67. R. Qi, X. L. Yu, Z. B. Li, and W. M. Liu, Phys. Rev. Lett., 2009, 102(18): 185301

    ADS  Google Scholar 

  68. F. S. Cataliotti, S. Burger, C. Fort, P. Maddaloni, F. Minardi, A. Trombettoni, A. Smerzi, and M. Inguscio, Science, 2001, 293(5531): 843

    ADS  Google Scholar 

  69. B. P. Anderson and M. A. Kasevich, Science, 1998, 282(5394): 1686

    ADS  Google Scholar 

  70. O. Morsch and M. Oberthaler, Rev. Mod. Phys., 2006, 78(1): 179

    ADS  Google Scholar 

  71. V. M. Kenkre and D. K. Campbell, Phys. Rev. B, 1986, 34(7): 4959

    ADS  Google Scholar 

  72. A. Smerzi, S. Fantoni, S. Giovanazzi, and S. R. Shenoy, Phys. Rev. Lett., 1997, 79(25): 4950

    ADS  Google Scholar 

  73. S. Raghavan, A. Smerzi, S. Fantoni, and S. R. Shenoy, Phys. Rev. A, 1999, 59(1): 620

    ADS  Google Scholar 

  74. L. M. Kuang and Z. W. Ouyang, Phys. Rev. A, 2000, 61(2): 023604

    ADS  Google Scholar 

  75. B. Hu and L. M. Kuang, Phys. Rev. A, 2000, 62(2): 023610

    ADS  Google Scholar 

  76. B. Wu and Q. Niu, Phys. Rev. A, 2000, 61(2): 023402

    ADS  Google Scholar 

  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

    ADS  Google Scholar 

  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

    ADS  Google Scholar 

  79. E. A. Ostrovskaya, Yu. S. Kivshar, M. Lisak, B. Hall, F. Cattani, and D. Anderson, Phys. Rev. A, 2000, 61(3): 031601 (R)

    ADS  Google Scholar 

  80. G. J. Milburn, J. Corney, E. M. Wright, and D. F. Walls, Phys. Rev. A, 1997, 55(6): 4318

    ADS  Google Scholar 

  81. J. Williams, R. Walser, J. Cooper, E. Cornell, and M. Holland, Phys. Rev. A, 1999, 59(1): R31

    ADS  Google Scholar 

  82. C. Lee, W. H. Hai, L. Shi, and K. L. Gao, Phys. Rev. A, 2004, 69(3): 033611

    ADS  Google Scholar 

  83. S. Levy, E. Lahoud, I. Shomroni, and J. Steinhauer, Nature, 2007, 449(7162): 579

    ADS  Google Scholar 

  84. C. C. Gerry and P. L. Knight, Introductory Quantum Optics, Cambridge: Cambridge University Press, 2005

    Google Scholar 

  85. A. Barone and G. Paterno, Physics and Applications of the Josephson Effect, New York: Wiley, 1982

    Google Scholar 

  86. A. Eckardt, T. Jinasundera, C. Weiss, and M. Holthaus, Phys. Rev. Lett., 2005, 95(20): 200401

    ADS  Google Scholar 

  87. C. Sias, H. Lignier, Y. P. Singh, A. Zenesini, D. Ciampini, O. Morsch, and E. Arimondo, Phys. Rev. Lett., 2008, 100(4): 040404

    ADS  Google Scholar 

  88. Q. T. Xie, S. G. Rong, H. H. Zhong, G. B. Lu, and W. H. Hai, Phys. Rev. A, 2010, 82(2): 023616

    ADS  Google Scholar 

  89. Y. Wu and X. X. Yang, Phys. Rev. Lett., 2007, 98(1): 013601

    ADS  Google Scholar 

  90. F. Kh. Abdullaev and R. A. Kraenkel, Phys. Rev. A, 2000, 62(2): 023613

    ADS  Google Scholar 

  91. Q. T. Xie, Phys. Rev. A, 2007, 76(4): 043622

    ADS  Google Scholar 

  92. X. B. Luo, Q. T. Xie, and B. Wu, Phys. Rev. A, 2008, 77(5): 053601

    ADS  Google Scholar 

  93. Q. T. Xie and W. H. Hai, Phys. Rev. A, 2009, 80(5): 053603

    ADS  Google Scholar 

  94. S.M. Baer, T. Erneux, and J. Rinzel, SIAM J. Appl. Math., 1989, 49(1): 55

    MathSciNet  MATH  Google Scholar 

  95. N. Berglund and H. Kunz, J. Phys. A, 1999, 32(1): 15

    MathSciNet  ADS  MATH  Google Scholar 

  96. J. Dziarmaga, Adv. Phys., 2010, 59(6): 1063

    ADS  Google Scholar 

  97. T. W. B. Kibble, J. Phys. A, 1976, 9(8): 1387

    ADS  Google Scholar 

  98. W. H. Zurek, Nature, 1985, 317(6037): 505

    ADS  Google Scholar 

  99. W. H. Zurek, Phys. Rep., 1996, 276(4): 177

    ADS  Google Scholar 

  100. C. Lee, Phys. Rev. Lett., 2009, 102(7): 070401

    ADS  Google Scholar 

  101. H. Feshbach, Ann. Phys., 1958, 5(4): 357

    MathSciNet  ADS  MATH  Google Scholar 

  102. U. Fano, Phys. Rev., 1961, 124(6): 1866

    ADS  MATH  Google Scholar 

  103. M. Ueda, Y. Kawaguchi, H. Saito, R. Kanamoto, and T. Nakajima, AIP Conf. Proc., 2006, 869: 165

    ADS  Google Scholar 

  104. R. Ozeri, N. Katz, J. Steinhauer, and N. Davidson, Rev. Mod. Phys., 2005, 77(1): 187

    ADS  Google Scholar 

  105. W. H. Zurek, U. Dorner, and P. Zoller, Phys. Rev. Lett., 2005, 95(10): 105701

    ADS  Google Scholar 

  106. J. Dziarmaga, Phys. Rev. Lett., 2005, 95(24): 245701

    ADS  Google Scholar 

  107. A. Polkovnikov and V. Gritsev, Nat. Phys., 2008, 4(6): 477

    Google Scholar 

  108. J. Liu, B. Wu, and Q. Niu, Phys. Rev. Lett., 2003, 90(17): 170404

    ADS  Google Scholar 

  109. B. Wu and J. Liu, Phys. Rev. Lett., 2006, 96(2): 020405

    ADS  Google Scholar 

  110. H. Pu, P. Maenner, W. P. Zhang, and H. Y. Ling, Phys. Rev. Lett., 2007, 98(5): 050406

    MathSciNet  ADS  Google Scholar 

  111. H. Y. Ling, P. Maenner, W. P. Zhang, and H. Pu, Phys. Rev. A, 2007, 75(3): 033615

    ADS  Google Scholar 

  112. D. Jaksch, C. Bruder, J. I. Cirac, C. W. Gardiner, and P. Zoller, Phys. Rev. Lett., 1998, 81(15): 3108

    ADS  Google Scholar 

  113. L. M. Duan, E. Demler, and M. D. Lukin, Phys. Rev. Lett., 2003, 91(9): 090402

    ADS  Google Scholar 

  114. C. Lee, Phys. Rev. Lett., 2004, 93(12): 120406

    ADS  Google Scholar 

  115. Y. Wu and X. X. Yang, J. Opt. Soc. Am. B, 2006, 23(9): 1888

    ADS  Google Scholar 

  116. C. Orzel, A. K. Tuchman, M. L. Fenselau, M. Yasuda, and M. A. Kasevich, Science, 2001, 291(5512): 2386

    ADS  Google Scholar 

  117. J. Estève, C. Gross, A. Weller, S. Giovanazzi, and M. K. Oberthaler, Nature, 2008, 455: 1216

    ADS  Google Scholar 

  118. M. Greiner, O. Mandel, T. Esslinger, T. W. Hänsch, and I. Bloch, Nature, 2002, 415(6867): 39

    ADS  Google Scholar 

  119. M. Greiner, O. Mandel, T. W. Hänsch, and I. Bloch, Nature, 2002, 419(6902): 51

    ADS  Google Scholar 

  120. S. Choi, D. Stromberg, and B. Sundaram, Phys. Rev. A, 2008, 77(4): 043620

    ADS  Google Scholar 

  121. S. Choi and B. Sundaram, Phys. Rev. A, 2008, 77(5): 053613

    ADS  Google Scholar 

  122. S. Boixo, A. Datta, M. J. Davis, A. Shaji, A. B. Tacla, and C. M. Caves, Phys. Rev. A, 2009, 80(3): 032103

    ADS  Google Scholar 

  123. A. B. Tacla, S. Boixo, A. Datta, A. Shaji, and C. M. Caves, Phys. Rev. A, 2010, 82(5): 053636

    ADS  Google Scholar 

  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

    ADS  Google Scholar 

  125. A. Polkovnikov, E. Altman, and E. Demler, Proc. Natl. Acad. Sci. USA, 2006, 103(16): 6125

    ADS  Google Scholar 

  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

    Google Scholar 

  127. S. Hofferberth, I. Lesanovsky, B. Fischer, T. Schumm, and J. Schmiedmayer, Nature, 2007, 449(7160): 324

    ADS  Google Scholar 

  128. S. Hofferberth, I. Lesanovsky, T. Schumm, J. Schmiedmayer, A. Imambekov, V. Gritsev, and E. Demler, Nat. Phys., 2008, 4(6): 489

    Google Scholar 

  129. H. Pu, W. P. Zhang, and P. Meystre, Phys. Rev. Lett., 2002, 89(9): 090401

    ADS  Google Scholar 

  130. C. Lee, W. H. Hai, X. L. Luo, L. Shi, and K. L. Gao, Phys. Rev. A, 2003, 68(5): 053614

    ADS  Google Scholar 

  131. Y. Wu and X. X. Yang, Phys. Rev. A, 2003, 68(1): 013608

    ADS  Google Scholar 

  132. C. Lee, L. B. Fu, and Yu. S. Kivshar, Europhys. Lett., 2008, 81(6): 60006

    ADS  Google Scholar 

  133. K. Capelle, M. Borgh, K. Kärkkäinen, and S. M. Reimann, Phys. Rev. Lett., 2007, 99(1): 010402

    ADS  Google Scholar 

  134. D. R. Dounas-Frazer, A. M. Hermundstad, and L. D. Carr, Phys. Rev. Lett., 2007, 99(20): 200402

    ADS  Google Scholar 

  135. P. Cheinet, S. Trotzky, M. Feld, U. Schnorrberger, M. Moreno-Cardoner, S. Fölling, and I. Bloch, Phys. Rev. Lett., 2008, 101(9): 090404

    ADS  Google Scholar 

  136. D. F. Walls and G. J. Milburn, Quantum Optics, Berlin: Springer-Verlag, 2008

    MATH  Google Scholar 

  137. M. O. Scully and M. S. Zubairy, Quantum Optics, Cambridge: Cambridge University Press, 1997

    Google Scholar 

  138. C. M. Caves, Phys. Rev. D, 1981, 23(8): 1693

    MathSciNet  ADS  Google Scholar 

  139. R. S. Bondurant and J. H. Shapiro, Phys. Rev. D, 1984, 30(12): 2548

    ADS  Google Scholar 

  140. W. M. Zhang, D. H. Feng, and R. Gilmore, Rev. Mod. Phys., 1990, 62(4): 867

    MathSciNet  ADS  Google Scholar 

  141. M. Kitagawa and M. Ueda, Phys. Rev. A, 1993, 47(6): 5138

    ADS  Google Scholar 

  142. J. R. Anglin, P. Drummond, and A. Smerzi, Phys. Rev. A, 2001, 64(6): 063605

    ADS  Google Scholar 

  143. C. Weiss and N. Teichmann, Phys. Rev. Lett., 2008, 100(14): 140408

    ADS  Google Scholar 

  144. D. F. Walls and P. Zoller, Phys. Rev. Lett., 1981, 47(10): 709

    ADS  Google Scholar 

  145. D. J. Wineland, J. J. Bollinger, W. M. Itano, F. L. Moore, and D. J. Heinzen, Phys. Rev. A, 1992, 46(11): R6797

    ADS  Google Scholar 

  146. D. J. Wineland, J. J. Bollinger, W. M. Itano, and D. J. Heinzen, Phys. Rev. A, 1994, 50(1): 67

    ADS  Google Scholar 

  147. Q. Y. He, S. G. Peng, P. D. Drummond, and M. D. Reid, Phys. Rev. A, 2011, 84(2): 022107

    ADS  Google Scholar 

  148. Y. Li, Y. Castin, and A. Sinatra, Phys. Rev. Lett., 2008, 100(21): 210401

    ADS  Google Scholar 

  149. G. R. Jin, Y. An, T. Yan, and Z. S. Lu, Phys. Rev. A, 2010, 82(6): 063622

    ADS  Google Scholar 

  150. Y. C. Liu, G. R. Jin, and L. You, Phys. Rev. A, 2010, 82(4): 045601

    ADS  Google Scholar 

  151. I. Tikhonenkov, M. G. Moore, and A. Vardi, Phys. Rev. A, 2010, 82(4): 043624

    ADS  Google Scholar 

  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

    ADS  Google Scholar 

  153. A. Sinatra, E. Witkowska, J. C. Dornstetter, Y. Li, and Y. Castin, Phys. Rev. Lett., 2011, 107(6): 060404

    ADS  Google Scholar 

  154. M. G. Genoni, S. Olivares, and M. G. A. Paris, Phys. Rev. Lett., 2011, 106(15): 153603

    ADS  Google Scholar 

  155. J. Hald, J. L. Sørensen, C. Schori, and E. S. Polzik, Phys. Rev. Lett., 1999, 83(7): 1319

    ADS  Google Scholar 

  156. K. Mølmer and A. Sørensen, Phys. Rev. Lett., 1999, 82(9): 1835

    ADS  Google Scholar 

  157. Y. C. Liu, Z. F. Xu, G. R. Jin, and L. You, Phys. Rev. Lett., 2011, 107(1): 013601

    ADS  Google Scholar 

  158. A. Kuzmich, L. Mandel, and N. P. Bigelow, Phys. Rev. Lett., 2000, 85(8): 1594

    ADS  Google Scholar 

  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

    ADS  Google Scholar 

  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

    ADS  Google Scholar 

  161. C. F. Roos, M. Chwalla, K. Kim, M. Riebe, and R. Blatt, Nature, 2006, 443(7109): 316

    ADS  Google Scholar 

  162. B. C. Sanders, Phys. Rev. A, 1989, 40(5): 2417

    ADS  Google Scholar 

  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

    ADS  Google Scholar 

  164. H. Lee, P. Kok, and J. P. Dowling, J. Mod. Opt., 2002, 49(14–15): 2325

    MathSciNet  ADS  Google Scholar 

  165. J. J. Bollinger, Wayne M. Itano, and D. J. Wineland, Phys. Rev. A, 1996, 54(6): R4649

    ADS  Google Scholar 

  166. B. Yurke and D. Stoler, Phys. Rev. Lett., 1986, 57(1): 13

    ADS  Google Scholar 

  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

    MathSciNet  ADS  MATH  Google Scholar 

  169. K. W. Mahmud, H. Perry, and W. P. Reinhardt, J. Phys. B, 2003, 36(17): L265

    ADS  Google Scholar 

  170. K. W. Mahmud, H. Perry, and W. P. Reinhardt, Phys. Rev. A, 2005, 71(2): 023615

    ADS  Google Scholar 

  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)

    ADS  Google Scholar 

  173. G. Watanabe, Phys. Rev. A, 2010, 81(2): 021604 (R)

    ADS  Google Scholar 

  174. K. Helmerson and L. You, Phys. Rev. Lett., 2001, 87(17): 170402

    ADS  Google Scholar 

  175. L. D. Carr, D. R. Dounas-Frazer, and M. A. Garcia-March, Europhys. Lett., 2010, 90(1): 10005

    ADS  Google Scholar 

  176. Y. Li, P. Treutlein, J. Reichel, and A. Sinatra, Eur. Phys. J. B, 2009, 68(3): 365

    ADS  Google Scholar 

  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

    ADS  Google Scholar 

  178. G. Watanabe and H. Makela, arXiv:1101.4845, 2011

  179. M. Kacprowicz, R. Demkowicz-Dobrzański, W. Wasilewski, K. Banaszek, and I. A. Walmsley, Nat. Photon., 2010, 4: 357

    ADS  Google Scholar 

  180. B. Lücke, 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

    ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. State Key Laboratory of Optoelectronic Materials and Technologies, School of Physics and Engineering, Sun Yat-Sen University, Guangzhou, 510275, China

    Chaohong Lee, Jiahao Huang, Haiming Deng, Hui Dai & Jun Xu

Authors
  1. Chaohong Lee
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Jiahao Huang
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Haiming Deng
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Hui Dai
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Jun Xu
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Chaohong Lee.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lee, C., Huang, J., Deng, H. et al. Nonlinear quantum interferometry with Bose condensed atoms. Front. Phys. 7, 109–130 (2012). https://doi.org/10.1007/s11467-011-0228-6

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11467-011-0228-6

Keywords

Search

Navigation