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By the method of coherent-state orthogonalization expansion, the evolution of atomic population inversion is investigated in the non-rotating-wave approximation. The numerical results indicate that, when field frequency and coupling do not change with time, the collapse-revival period of population inversion increases with the mean photon number of the field increasing, and the quick oscillation due to virtual photon process increases with couplings strengthening. When the frequency changes with time in the sine form, amplitude α and angle frequency β of the field both have a great influence on atomic population inversion. The sudden jumping of the field frequency can lead to some new collapses and rebibals in the evolution of atomic population inversion. Both of the field frequency forms can have an influence on quick oscillation due to virtual photon process.
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Keywords:
- coherent-state orthogonalization expansion /
- without rotating wave approximation /
- atomic population inversion
[1] Jaynes E T, Cummings F W 1963 Proc. IEEE 51 89
[2] Meschede D, Walther H 1985 Phys. Rev. Lett. 54 551
[3] Jonas Larson 2007 Phys. Scr. 76 146
[4] Nouicer K, Chetouani L 2001 Phys. Lett. A 281 218
[5] Sleane A 1997 Appl. Phys. B 64 623
[6] Chen M L, Wang S J 2006 Acta Phys. Sin. 55 4638(in Chinese) [陈明轮、王顺金 2006 55 4638]
[7] Ai L Y, Yang J, Zhang Z M 2008 Acta Phys. Sin. 57 5589(in Chinese) [艾凌艳、杨 健、张智明 2008 57 5589]
[8] Zhang Y J, Xia Y J, Ren Y Q, Du X M, Liu Y L 2009 Acta Phys. Sin. 58 722(in Chinese) [张英杰、夏云杰、任延琦 2009 58 722]
[9] Kang D P, Ren M, Ma A Q, Qian Z J, Liu S T 2008 Acta Phys. Sin. 57 873(in Chinese) [康冬鹏、任 珉、马爱群、钱 妍、刘正君、刘树田 2008 57 873]
[10] Sun Y H, Hui X Q 2008 Acta Phys. Sin. 57 5584(in Chinese) [孙宇航、惠小强 2008 57 5584]
[11] Zhang G F, Liu J 2007 Chin. Phys. 16 3595
[12] Liu W Y, An Y Y, Yang Z Y 2007 Chin. Phys. 16 3704
[13] Castanos O, Lopez R, Manko V I 1994 Phys. Rev. A 50 5209
[14] Yang C P, Chu S I, Han S Y 2004 Phys. Rev. Lett. 92 117902
[15] Jia F, Xie S Y, Yang Y P 2006 Acta Phys. Sin. 55 5835(in Chinese) [贾 飞、谢双媛、羊亚平 2006 55 5835]
[16] Zhang W J, Wang Z G, Xie S Y, Yang Y P 2007 Acta Phys. Sin. 56 2168(in Chinese) [张婉娟、王志国、谢双媛、杨亚平 2007 56 2168]
[17] Yang Y P 2004 Phys. Rev. A 69 053406
[18] Dolce I, Passante R, Persico F 2006 Phys. Lett. A 355 152
[19] Ren X Z, Jiang D L, Cong H L 2009 Acta Phys. Sin. 58 5394(in Chinese) [任学藻、姜到来、丛红璐、廖 旭 2009 58 5394]
[20] Liu T, Wang K L, Feng M 2007 J. Phys. B: At. Mol. Opt. Phys. 40 1967
[21] Fan Y X, Liu T, Feng M, Wang K L 2007 Commun. Theor. Phys. 47 781
[22] Liu T, Feng M, Wang K L 2007 Commun. Theor. Phys. 47 561
[23] Chen Q H,Zhang Y Y, Liu T, Wang K L 2008 Phys. Rev. A 78 051801
[24] Ren X Z, Liao X, Huang S W, Wang K L 2009 Acta Phys. Sin. 58 2680(in Chinese) [任学藻、廖 旭、黄书文、汪克林 2009 58 2680]
[25] Ren X Z, Liao X, Liu T, Wang K L 2006 Acta Phys. Sin. 55 2865(in Chinese) [任学藻、廖 旭、刘 涛、汪克林 2006 . 55 2865]
[26] Liu T, Fan Y X, Huang S W, Wang K L, Wang Y 2007 Commun. Theor. Phys. 47 791
[27] Irish E K, Gea-Banacloche J, Martin I, Schwab K C 2006 Phys. Rev. B 72 195410
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[1] Jaynes E T, Cummings F W 1963 Proc. IEEE 51 89
[2] Meschede D, Walther H 1985 Phys. Rev. Lett. 54 551
[3] Jonas Larson 2007 Phys. Scr. 76 146
[4] Nouicer K, Chetouani L 2001 Phys. Lett. A 281 218
[5] Sleane A 1997 Appl. Phys. B 64 623
[6] Chen M L, Wang S J 2006 Acta Phys. Sin. 55 4638(in Chinese) [陈明轮、王顺金 2006 55 4638]
[7] Ai L Y, Yang J, Zhang Z M 2008 Acta Phys. Sin. 57 5589(in Chinese) [艾凌艳、杨 健、张智明 2008 57 5589]
[8] Zhang Y J, Xia Y J, Ren Y Q, Du X M, Liu Y L 2009 Acta Phys. Sin. 58 722(in Chinese) [张英杰、夏云杰、任延琦 2009 58 722]
[9] Kang D P, Ren M, Ma A Q, Qian Z J, Liu S T 2008 Acta Phys. Sin. 57 873(in Chinese) [康冬鹏、任 珉、马爱群、钱 妍、刘正君、刘树田 2008 57 873]
[10] Sun Y H, Hui X Q 2008 Acta Phys. Sin. 57 5584(in Chinese) [孙宇航、惠小强 2008 57 5584]
[11] Zhang G F, Liu J 2007 Chin. Phys. 16 3595
[12] Liu W Y, An Y Y, Yang Z Y 2007 Chin. Phys. 16 3704
[13] Castanos O, Lopez R, Manko V I 1994 Phys. Rev. A 50 5209
[14] Yang C P, Chu S I, Han S Y 2004 Phys. Rev. Lett. 92 117902
[15] Jia F, Xie S Y, Yang Y P 2006 Acta Phys. Sin. 55 5835(in Chinese) [贾 飞、谢双媛、羊亚平 2006 55 5835]
[16] Zhang W J, Wang Z G, Xie S Y, Yang Y P 2007 Acta Phys. Sin. 56 2168(in Chinese) [张婉娟、王志国、谢双媛、杨亚平 2007 56 2168]
[17] Yang Y P 2004 Phys. Rev. A 69 053406
[18] Dolce I, Passante R, Persico F 2006 Phys. Lett. A 355 152
[19] Ren X Z, Jiang D L, Cong H L 2009 Acta Phys. Sin. 58 5394(in Chinese) [任学藻、姜到来、丛红璐、廖 旭 2009 58 5394]
[20] Liu T, Wang K L, Feng M 2007 J. Phys. B: At. Mol. Opt. Phys. 40 1967
[21] Fan Y X, Liu T, Feng M, Wang K L 2007 Commun. Theor. Phys. 47 781
[22] Liu T, Feng M, Wang K L 2007 Commun. Theor. Phys. 47 561
[23] Chen Q H,Zhang Y Y, Liu T, Wang K L 2008 Phys. Rev. A 78 051801
[24] Ren X Z, Liao X, Huang S W, Wang K L 2009 Acta Phys. Sin. 58 2680(in Chinese) [任学藻、廖 旭、黄书文、汪克林 2009 58 2680]
[25] Ren X Z, Liao X, Liu T, Wang K L 2006 Acta Phys. Sin. 55 2865(in Chinese) [任学藻、廖 旭、刘 涛、汪克林 2006 . 55 2865]
[26] Liu T, Fan Y X, Huang S W, Wang K L, Wang Y 2007 Commun. Theor. Phys. 47 791
[27] Irish E K, Gea-Banacloche J, Martin I, Schwab K C 2006 Phys. Rev. B 72 195410
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