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Influence of Ξ-type three-level atomic Bose-Einstein condensate on the squeezing properties of light field

Li Ming Chen Ding-Han Chen Cui-Ling

Influence of Ξ-type three-level atomic Bose-Einstein condensate on the squeezing properties of light field

Li Ming, Chen Ding-Han, Chen Cui-Ling
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  • The Hamiltonian operator of a system of Ξ-type three-level atomic Bose-Einstein condensate interacting with single-mode squeezed coherent light field is improved in terms of the lattice-liquid model, and the squeezing properties of light field in this system are studied. The results show that two quadrature components of light can be squeezed periodically. The maximum depth of squeezing is determined by the interaction intensity between light field and atoms and the initial squeezing factor of light, and squeezing period is correlated with the frequency of the light field.
    • Funds: Project supported by the Foundation for Key Program of Ministry of Education of China (Grant No. 209094) and Scientific Research Fund of Guangxi Provincial Education Department of China (Grant No. 200103YB058).
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    Anderson M H, Ensher J R, Matthews M R, Wieman C E 1995 Science 269 198

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    Davis K B, Mewes M O, Andrews M R, Druten N J, Durfee D S, Kurn D M, Ketterle W 1995 Phys. Rev. Lett. 75 3969

    [3]

    Fried D G, Killian T C, Willmann L, Landhuis D, Moss S C, Kleppner D, Greytak T J 1998 Phys. Rev. Lett. 81 3811

    [4]

    Mewes M O, Andrews M R, Kurn D M, Durfee D S, Townsend C G, Ketterle W 1997 Phys. Rev. Lett. 78 582

    [5]

    Anderson B P, Kasevich M A 1998 Science 282 1686

    [6]

    Hagley E W, Deng L, Kozuma M, Wen J, Helmerson K, Rolston S L, Phillips W D 1999 Science 283 1706

    [7]

    Kuang L M, Ouyang Z W 2000 Phys. Rev. A 61 023604

    [8]

    You L, Lewenstein M, Cooper J 1995 Phys. Rev. A 51 4712

    [9]

    Sun C P, Zhan H, Miao Y X, Li J M 1998 Commun. Theor. Phys. 29 161

    [10]

    Jing H, Chen J L, Ge M L 2001 Phys. Rev. A 63 15601

    [11]

    Zhou M, Huang C J 2002 Acta Phys. Sin. 51 2514 (in Chinese) [周明, 黄春佳2002 物理学报 51 2514]

    [12]

    Zhou M, Fang J Y, Huang C J 2003 Acta Phys. Sin. 52 1916 (in Chinese) [周明, 方家元, 黄春佳 2003 物理学报 52 1916]

    [13]

    Zhou M, Huang C J 2004 Acta Phys. Sin. 53 54 (in Chinese) [周明, 黄春佳2004 物理学报 53 54]

    [14]

    Zhang J M, Liu W M, Zhou D L 2008 Phys. Rev. A 77 033620

    [15]

    Li Z G, Fei S M, Wang Z D, Liu W M 2009 Phys. Rev. A 79 024303

    [16]

    Li Z G, Fei S M, Albeverio S, Liu W M 2009 Phys. Rev. A 80 034301

    [17]

    Li Z G, Zhao M J, Fei S M, Liu W M 2010 Phys. Rev. A 81 042312

    [18]

    Li M 2011 Acta Phys. Sin. 60 063201 (in Chinese) [李明 2011 物理学报 60 063201]

    [19]

    Li M, Tang T, Chen D H 2011 Acta Phys. Sin. 60 073203 (in Chinese) [李明, 唐涛, 陈鼎汉 2011 物理学报 60 073203]

    [20]

    Zhou M, Huang C J 2009 Acta Opt. Sin. 29 1096 (in Chinese) [周明, 黄春佳 2009 光学学报 29 1096]

    [21]

    Ni G J, Chen S Q 2000 Advanced Quantum Mechanics (Shanghai: Fudan University Press) p372 (in Chinese) [倪光炯, 陈苏卿 2000 高等量子力学 (上海: 复旦大学出版社) 第372页]

    [22]

    Li M, Sun J X 2006 Acta Phys. Sin. 55 2702 (in Chinese) [李明, 孙久勋 2006物理学报 55 2702]

    [23]

    Peng J S, Li G X 1996 Introduction of Modern Quantum Optics (Beijing: Science Press) p185 (in Chinese) [彭金生, 李高翔 1996 近代量子光学导论 (北京: 科学出版社) 第185页]

  • [1]

    Anderson M H, Ensher J R, Matthews M R, Wieman C E 1995 Science 269 198

    [2]

    Davis K B, Mewes M O, Andrews M R, Druten N J, Durfee D S, Kurn D M, Ketterle W 1995 Phys. Rev. Lett. 75 3969

    [3]

    Fried D G, Killian T C, Willmann L, Landhuis D, Moss S C, Kleppner D, Greytak T J 1998 Phys. Rev. Lett. 81 3811

    [4]

    Mewes M O, Andrews M R, Kurn D M, Durfee D S, Townsend C G, Ketterle W 1997 Phys. Rev. Lett. 78 582

    [5]

    Anderson B P, Kasevich M A 1998 Science 282 1686

    [6]

    Hagley E W, Deng L, Kozuma M, Wen J, Helmerson K, Rolston S L, Phillips W D 1999 Science 283 1706

    [7]

    Kuang L M, Ouyang Z W 2000 Phys. Rev. A 61 023604

    [8]

    You L, Lewenstein M, Cooper J 1995 Phys. Rev. A 51 4712

    [9]

    Sun C P, Zhan H, Miao Y X, Li J M 1998 Commun. Theor. Phys. 29 161

    [10]

    Jing H, Chen J L, Ge M L 2001 Phys. Rev. A 63 15601

    [11]

    Zhou M, Huang C J 2002 Acta Phys. Sin. 51 2514 (in Chinese) [周明, 黄春佳2002 物理学报 51 2514]

    [12]

    Zhou M, Fang J Y, Huang C J 2003 Acta Phys. Sin. 52 1916 (in Chinese) [周明, 方家元, 黄春佳 2003 物理学报 52 1916]

    [13]

    Zhou M, Huang C J 2004 Acta Phys. Sin. 53 54 (in Chinese) [周明, 黄春佳2004 物理学报 53 54]

    [14]

    Zhang J M, Liu W M, Zhou D L 2008 Phys. Rev. A 77 033620

    [15]

    Li Z G, Fei S M, Wang Z D, Liu W M 2009 Phys. Rev. A 79 024303

    [16]

    Li Z G, Fei S M, Albeverio S, Liu W M 2009 Phys. Rev. A 80 034301

    [17]

    Li Z G, Zhao M J, Fei S M, Liu W M 2010 Phys. Rev. A 81 042312

    [18]

    Li M 2011 Acta Phys. Sin. 60 063201 (in Chinese) [李明 2011 物理学报 60 063201]

    [19]

    Li M, Tang T, Chen D H 2011 Acta Phys. Sin. 60 073203 (in Chinese) [李明, 唐涛, 陈鼎汉 2011 物理学报 60 073203]

    [20]

    Zhou M, Huang C J 2009 Acta Opt. Sin. 29 1096 (in Chinese) [周明, 黄春佳 2009 光学学报 29 1096]

    [21]

    Ni G J, Chen S Q 2000 Advanced Quantum Mechanics (Shanghai: Fudan University Press) p372 (in Chinese) [倪光炯, 陈苏卿 2000 高等量子力学 (上海: 复旦大学出版社) 第372页]

    [22]

    Li M, Sun J X 2006 Acta Phys. Sin. 55 2702 (in Chinese) [李明, 孙久勋 2006物理学报 55 2702]

    [23]

    Peng J S, Li G X 1996 Introduction of Modern Quantum Optics (Beijing: Science Press) p185 (in Chinese) [彭金生, 李高翔 1996 近代量子光学导论 (北京: 科学出版社) 第185页]

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  • Received Date:  06 February 2013
  • Accepted Date:  04 May 2013
  • Published Online:  20 September 2013

Influence of Ξ-type three-level atomic Bose-Einstein condensate on the squeezing properties of light field

  • 1. College of Science, Guilin University of Technology, Guilin 541004, China;
  • 2. College of Mathematics Science, Guangxi Normal University, Guilin 541004, China
Fund Project:  Project supported by the Foundation for Key Program of Ministry of Education of China (Grant No. 209094) and Scientific Research Fund of Guangxi Provincial Education Department of China (Grant No. 200103YB058).

Abstract: The Hamiltonian operator of a system of Ξ-type three-level atomic Bose-Einstein condensate interacting with single-mode squeezed coherent light field is improved in terms of the lattice-liquid model, and the squeezing properties of light field in this system are studied. The results show that two quadrature components of light can be squeezed periodically. The maximum depth of squeezing is determined by the interaction intensity between light field and atoms and the initial squeezing factor of light, and squeezing period is correlated with the frequency of the light field.

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