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Nonclassical properties of a two-mode field initially in an SU(2) coherent state resonantly interacting with a three-level Λ-type atom are investigated by means of the quantum theory and numerical calculations. The dependence of the nonclassical properties on the total photon number of the two-mode, the partition parameter and the coupling constant is discussed for three cases: (1) no state-selective atomic measurement; (2) direct state-selective atomic measurement; and (3) state-selective atomic measurement after the application of a classical field. The results indicate that when the total photon number of the two-mode is increased or the state-selective measurement is performed on the atom, the difference squeezing of two-mode is distinctly enhanced; and when the partition parameter is decreased or the state-selective measurement is performed on the atom after the application of a classical field, the average intensity of the sub-Poisson statistic distribution of mode a is reduced and that of mode b is enhanced; when the total photon number of the two modes is increased or the direct state-selective measurement is performed on the atom, the anti-correlation character between the two modes is preserved, but the average intensity of the anti-correlation is reduced; and when the direct state-selective measurement is performed on the atom, the Cauchy-Schwartz inequality is violated.
[1] ［1］Christopher C G, Himel G 1997 Phys. Lett. A 229 17
[2] ［2］Wu H Z, Su W J 2007 Chin. Phys. 16 106
[3] ［3］Buzek V, Quang T 1989 J. Opt. Soc. Am. B 6 2447
[4] ［4］Wodkiewicz K, Eberly J H 1985 J. Opt. Soc. Am. B 2 458
[5] ［5］Deb B, Gangopadhyay G, Ray D S 1995 Phy. Rev. A 51 2651
[6] ［6］Song K H 2000 Acta Opt. Sin. 20 51 (in Chinese)［宋克慧 2000 光学学报 20 51］
[7] ［7］Zheng S B 2003 Chin. Phys. 12 977
[8] ［8］Lu H, Peng J S, Wu M J 1995 Acta Opt. Sin. 15 1365 (in Chinese)［路洪、 彭金生、 吴美钧 1995 光学学报 15 1365］
[9] ［9］Lai W K, Buzek V, Knight P L 1991 Phy. Rev. A 44 2003
[10] ］Tian Y H, Peng J S 2000 Acta Phys. Sin. 49 67 （in Chinese)［田永红、 彭金生 2000 49 67］
[11] ］Zhang L H, Li G X, Peng J S 2001 Acta Photo. Sin. 30 1425 (in Chinese) ［张立辉、 李高翔、 彭金生 2001 光子学报 30 1425］
[12] ］Hu X P, Guo H 2009 Acta. Phys. Sin. 58 272 (in Chinese)［胡孝平、 郭红 2009 58 272］
[13] ］Zhang J S, Xu J B 2009 Chin. Phys. B 18 2288
[14] ］Guo G C, Zheng S B 1996 Phys. Lett. A 223 332
[15] ］Hillery M 1989 Phys. Rev. A 40 3147
[16] ］Shore B W, Knight P L 1993 J. Mod. Opt. 40 1195
[17] ］Lai W K, Buek V, Knight P L 1991 Phys. Rev. A 44 6043
[18] ］Reid M D, Walls D F 1986 Phys. Rev. A 34 1260
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[1] ［1］Christopher C G, Himel G 1997 Phys. Lett. A 229 17
[2] ［2］Wu H Z, Su W J 2007 Chin. Phys. 16 106
[3] ［3］Buzek V, Quang T 1989 J. Opt. Soc. Am. B 6 2447
[4] ［4］Wodkiewicz K, Eberly J H 1985 J. Opt. Soc. Am. B 2 458
[5] ［5］Deb B, Gangopadhyay G, Ray D S 1995 Phy. Rev. A 51 2651
[6] ［6］Song K H 2000 Acta Opt. Sin. 20 51 (in Chinese)［宋克慧 2000 光学学报 20 51］
[7] ［7］Zheng S B 2003 Chin. Phys. 12 977
[8] ［8］Lu H, Peng J S, Wu M J 1995 Acta Opt. Sin. 15 1365 (in Chinese)［路洪、 彭金生、 吴美钧 1995 光学学报 15 1365］
[9] ［9］Lai W K, Buzek V, Knight P L 1991 Phy. Rev. A 44 2003
[10] ］Tian Y H, Peng J S 2000 Acta Phys. Sin. 49 67 （in Chinese)［田永红、 彭金生 2000 49 67］
[11] ］Zhang L H, Li G X, Peng J S 2001 Acta Photo. Sin. 30 1425 (in Chinese) ［张立辉、 李高翔、 彭金生 2001 光子学报 30 1425］
[12] ］Hu X P, Guo H 2009 Acta. Phys. Sin. 58 272 (in Chinese)［胡孝平、 郭红 2009 58 272］
[13] ］Zhang J S, Xu J B 2009 Chin. Phys. B 18 2288
[14] ］Guo G C, Zheng S B 1996 Phys. Lett. A 223 332
[15] ］Hillery M 1989 Phys. Rev. A 40 3147
[16] ］Shore B W, Knight P L 1993 J. Mod. Opt. 40 1195
[17] ］Lai W K, Buek V, Knight P L 1991 Phys. Rev. A 44 6043
[18] ］Reid M D, Walls D F 1986 Phys. Rev. A 34 1260
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