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The Hamiltonian operator of a system of V-type three-level atomic Bose-Einstein condensate interacting with two-mode squeezed coherent light field is analyzed in terms of the lattice-liquid model. It is indicated that the contribution of the interaction between atoms to the Hamiltonian in the literature is unreasonable,so the Hamiltonian operator is improved and the squeezing properties of two-mode squeezed field interacting with V-type three-level atoms are studied. The results show that two quadrature comonents of light can be squeezed periodically and that maximum depth of squeezing is closely related to the initial squeezing parameter of light and that the duration is determined by the frequency of two-mode field.
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Keywords:
- Bose-Einstein condensate /
- V-type three-level atoms /
- squeezed coherent state /
- two-mode squeezed field
[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] Bradley C C, Sackett C A, Tollett J J, Hulet R G 1995 Phys.Rev.Lett. 75 1687
[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] Kuang L M1 998 Commun.Theor.Phys. 30 161
[7] Kuang L M, Ouyang Z W 2000 Phys.Rev. A 61 023604
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[13] 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 52 1916]
[14] 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]
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[17] Zhou Y X, Xia Q F, Sun C Y 2008 J.At.Mol.Phys. 25 0633(in Chinese)[周玉欣、夏庆峰、孙长勇 2008 原子与分子 25 0633]
[18] Zhang J M, Liu W M, Zhou D L 2008 Phys.Rev. A 77 033620
[19] Li Z G, Fei S M, Wang Z D, Liu W M 2009 Phys.Rev. A 79 024303
[20] Li Z G, Fei S M, Albeverio S, Liu W M 2009 Phys.Rev. A 80 034301
[21] Li Z G, Zhao M J, Fei S M, Liu W M 2010 Phys.Rev. A 81 042312
[22] Li X F, Wang C Z, Jin L J, Nie Y H, Li J F 2008 J. At. Mol. Phys. 25 1340(in Chinese)[李秀凤、王成志、靳丽娟、聂玉华、厉江帆 2008 原子与分子 25 1340]
[23] Hu Y 1982 Molecular Thermodynamics on fluids(Beijing: Higher Education Press)p380(in Chinese)[胡 英 1982 流体的分子热力学(北京:高等教育出版社)第380页]
[24] Ni G J, Chen S Q 2000 Advanced Quantum Mechanicsp 372(inChinese)[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]
[25] Li M, Sun J X 2006 Acta Phys. Sin.55 2702(inChinese)[李 明、孙久勋 2006 55 2702]
[26] 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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[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] Bradley C C, Sackett C A, Tollett J J, Hulet R G 1995 Phys.Rev.Lett. 75 1687
[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] Kuang L M1 998 Commun.Theor.Phys. 30 161
[7] Kuang L M, Ouyang Z W 2000 Phys.Rev. A 61 023604
[8] Zhao Z C, Kuang L M 2000 ActaSin.Quant.Opt. 6 29(in Chinese)[赵志超、匡乐满 2000 量子光学学报 6 29]
[9] You L, Lewenstein M, Cooper J 1995 Phys.Rev. A 51 4712
[10] Sun C P, Zhan H, Miao Y X, LiJ M 1998 Commun.Theor.Phys. 29 161
[11] Jing H, Chen J L, Ge M L 2001 Phys.Rev. A 63 15601
[12] Zhou M, Huang C J 2002 Acta Phys.Sin. 51 2514(in Chinese)[周 明、黄春佳 2002 51 2514]
[13] 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 52 1916]
[14] 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]
[15] Huang C J, Zhou M, Kong F Z, Fang J Y, Mo K W 2005 Chin.Opt.Lett.3 410
[16] Hao Y J, Zhang Y B, Liang J Q, Chen S 2006 Phys.Rev. A 73 053605
[17] Zhou Y X, Xia Q F, Sun C Y 2008 J.At.Mol.Phys. 25 0633(in Chinese)[周玉欣、夏庆峰、孙长勇 2008 原子与分子 25 0633]
[18] Zhang J M, Liu W M, Zhou D L 2008 Phys.Rev. A 77 033620
[19] Li Z G, Fei S M, Wang Z D, Liu W M 2009 Phys.Rev. A 79 024303
[20] Li Z G, Fei S M, Albeverio S, Liu W M 2009 Phys.Rev. A 80 034301
[21] Li Z G, Zhao M J, Fei S M, Liu W M 2010 Phys.Rev. A 81 042312
[22] Li X F, Wang C Z, Jin L J, Nie Y H, Li J F 2008 J. At. Mol. Phys. 25 1340(in Chinese)[李秀凤、王成志、靳丽娟、聂玉华、厉江帆 2008 原子与分子 25 1340]
[23] Hu Y 1982 Molecular Thermodynamics on fluids(Beijing: Higher Education Press)p380(in Chinese)[胡 英 1982 流体的分子热力学(北京:高等教育出版社)第380页]
[24] Ni G J, Chen S Q 2000 Advanced Quantum Mechanicsp 372(inChinese)[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]
[25] Li M, Sun J X 2006 Acta Phys. Sin.55 2702(inChinese)[李 明、孙久勋 2006 55 2702]
[26] 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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