Abstract
We propose a scheme to coherently control spin squeezing of atomic Bose-Einstein condensate (BEC) via the technique of electromagnetically induced transparency (EIT). We study quantum dynamics of the mean spin vector and spin squeezing. It is shown that the mean spin vector and spin squeezing of the BEC can be controlled and manipulated by adjusting the external coupling fields or/and internal nonlinear interactions of the BEC. It is indicated that the spin squeezing can be generated rapidly in the dynamical process and maintained in a long time interval. It is found that a larger effective Rabi coupling between atoms and lasers can produce a stronger spin squeezing, and the squeezing can maintain a longer time interval.
Similar content being viewed by others
References
R. Horodecki, P. Horodecki, M. Horodecki, and K. Horodecki, Rev. Mod. Phys., 2009, 81(2): 865
L. Amico, R. Fazio, A. Osterloh, and V. Vedral Rev. Mod. Phys., 2008, 80(2): 517
J.-W. Pan, Z.-B. Chen, C.-Y. Lu, H. Weinfurter, A. Zeilinger, and M. Żukowski, Rev. Mod. Phys., 2012, 84(2): 777
J. Ma, X. Wang, C. P. Sun, and F. Nori, Phys. Rep., 2011, 509(2): 89
A. Sinatra, J.-C. Dornstetter, and Y. Castin, Front. Phys., 2012, 7(1): 86
C. Gross, J. Phys. B: At. Mol. Opt. Phys., 2012, 45(10): 103001
M. Kitagawa and M. Ueda, Phys. Rev. A, 1993, 47(6): 5138
D. J. Wineland, J. J. Bollinger, W. M. Itano, and D. J. Heinzen, Phys. Rev. A, 1994, 50(1): 67
C. Lee, J. Huang, H. Deng, H. Dai, and J. Xu, Front. Phys., 2012, 7(1): 109
J. Hald, J. L. Sørensen, C. Schori, and E. S. Polzik, Phys. Rev. Lett., 1999, 83(7): 1319
A. Kuzmich, L. Mandel, and N. P. Bigelow, Phys. Rev. Lett., 1999, 85(8): 1594
T. Fernholz, H. Krauter, K. Jensen, J. F. Sherson, A. S. Søensen, and E. S. Polzik, Phys. Rev. Lett., 2008, 101(4): 073601
J. Appel, P. J. Windpassinger, D. Oblak, U. B. Hoff, N. Kjægaard, and E. S. Polzik, Proc. Natl. Acad. Sci. USA, 2009, 106(27): 10960
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
C. Gross, T. Zibold, E. Nicklas, J. Estève, and M. K. Oberthaler, Nature, 2010, 464(7292): 1165
M. F. Riedel, P. Böhi, Yun Li, T. W. Hänsch, A. Sinatra, and P. Treutlein, Nature, 2010, 464(7292): 1170
A. Sørensen, L. M. Duan, J. I. Cirac, and P. Zoller, Nature, 2001, 409(6862): 63
X. Wang and B. C. Sanders, Phys. Rev. A, 2003, 68(1): 012101
G. Toth, C. Knapp, O. Gühne, and H. J. Briegel, Phys. Rev. Lett., 2007, 99(25): 250405
G. Toth, C. Knapp, O. Gühne, and H. J. Briegel, Phys. Rev. A, 2009, 79(4): 042334
M. D. Reid, Q.-Y. He, and P. D. Drummond, Front. Phys., 2012, 7(1): 72
M. Lewenstein, B. Kraus, J. I. Cirac, and P. Horodecki, Phys. Rev. A, 2000, 62(5): 052310
X. Wang, A. Miranowicz, Y. X. Liu, C. P. Sun, and F. Nori, Phys. Rev. A, 2010, 81(2): 022106
C. Lee, Phys. Rev. Lett., 2006, 97(15): 150402
G. Santarelli, Ph. Laurent, P. Lemonde, and A. Clairon, Phys. Rev. Lett., 1999, 82(23): 4619
A. Micheli, D. Jaksch, J. I. Cirac, and P. Zoller, Phys. Rev. A, 2003, 67(1): 013607
M. Zhang, K. Helmerson, and L. You, Phys. Rev. A, 2003, 68(4): 043622
G. R. Jin and S. W. Kim, Phys. Rev. Lett., 2007, 99(17): 170405
S. Thanvanthril and Z. Dutton, Phys. Rev. A, 2007, 75(2): 023618
C. Lee, Phys. Rev. Lett., 2009, 102(7): 070401
S. E. Harris, Phys. Today, 1997, 50(7): 36
M. D. Lukin and A. Imamoğlu, Nature, 2001, 413(6853): 273
M. O. Scully and S. Y. Zhu, Science, 1998, 281(5385): 1973
L. V. Hau, S. E. Harris, Z. Dutton, and C. H. Behroozi, Nature, 1999, 397(6720): 594
L. M. Kuang, G. H. Chen, and Y. S. Wu, J. Opt. B: Quantum Semiclass. Opt., 2003, 5(3): 341
S. Inouye, R. F. Löw, S. Gupta, T. Pfau, A. Görlitz, T. L. Gustavson, D. E. Pritchard, and W. Ketterle, Phys. Rev. Lett., 2000, 85(20): 4225
L. M. Kuang, A. H. Zeng, and Z. H. Kuang, Phys. Lett. A. 2003, 319(1-2): 24
L. M. Kuang and L. Zhou, Phys. Rev. A, 2003, 68(4): 043606
L. M. Kuang, Z. B. Chen, and J. W. Pan, Phys. Rev. A, 2007, 76(5): 052324
G. J. Milburn, J. Corney, E. M. Wright, and D. F. Walls, Phys. Rev. A, 1997, 55(6): 4318
M. J. Steel and M. J. Collett, Phys. Rev. A, 1998, 57(4): 2920
E. M. Wright, D. F. Walls, and J. C. Garrison, Phys. Rev. Lett., 1996, 77(11): 2158 E. M. Wright, T. Wong, M. J. Collett, S. M. Tan, and D. F. Walls, Phys. Rev. A, 1997, 56(1): 591
L. M. Kuang and Z. W. Ouyang, Phys. Rev. A, 2002, 61(2): 023604
C. Lee, Phys. Rev. Lett., 2006, 97(18): 180408
G. S. Agarwal and R. R. Puri, Phys. Rev. A, 1989, 39(6): 2969
M.-O. Mewes, M. R. Andrews, D. M. Kurn, D. S. Durfee, C. G. Townsend, and W. Ketterle, Phys. Rev. Lett., 1997, 78(4): 582
C. M. Chandrashekar, Phys. Rev. A, 2006, 74(3): 032307
G. R. Jin, Y. C. Liu and W. M. Liu, New J. Phys., 2009, 11(7): 073049
L. Song, D. Yan, J. Ma, and X. Wang, Phys. Rev. E, 2009, 79(4): 046220
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Li, SS., Yuan, JB. & Kuang, LM. Coherent manipulation of spin squeezing in atomic Bose-Einstein condensate via electromagnetically induced transparency. Front. Phys. 8, 27–33 (2013). https://doi.org/10.1007/s11467-013-0288-x
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11467-013-0288-x