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The extended “ladder” transition controlled by two harmonic pulses is investigated by using a time-dependent quantum wave packet method. The molecular population transfers from the state|0, 0> angle to the states|5, 0> angle and|5, 2> angle induced by the fundamental and second-harmonic pulses, and to the states|5, 3> angle and |6, 2> angle induced by the fundamental and third-harmonic pulses. The calculated results show that the two harmonic pulses can induce a nearly 100% of population to transfer to the target state. The relative phase of two pulses can affect the population distribution. The variation of population has a period of π for the fundamental and second-harmonic pulses, and a period of 2π for the fundamental and third-harmonic pulses.
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Keywords:
- "ladder" transition /
- wave packet /
- relative phase /
- fundamental pulse
[1] Bergmann K, Theuer H, Shore B W 1998 Rev. Mod. Phys. 70 1003
[2] Shapiro E A, Pe'er A, Ye J, Shapiro M 2008 Phys. Rev. Lett. 101 023601
[3] Hu J, Han K L, He G Z 2005 Phys. Rev. Lett. 95 123001
[4] Luo S, Zhu R, He L, Hu W, Li X, Ma P, Wang C, Liu F, Roeterdink W G, Stolte S, Ding D 2015 Phys. Rev. A 91 053408
[5] Liu F, Wang J, Zhao J, Xu Y, Meng Q T 2011 Acta Phys. Sin. 60 040202 (in Chinese)[刘芳, 王军, 赵娟, 许燕, 孟庆田2011 60 040202]
[6] Takekoshi T, Reichsllner L, Schindewolf A, Hutson J M, Sueur C R L, Dulieu O, Ferlaino F, Grimm R, Nägerl H C 2014 Phys. Rev. Lett. 113 205301
[7] Vitanov N V, Shore B W 2006 Phys. Rev. A 73 053402
[8] Niu Y Y, Wang R, Qiu M H 2010 Phys. Rev. A 81 043406
[9] Castro A, Werschnik J, Gross E K U 2012 Phys. Rev. Lett. 109 153603
[10] Shi S H, Woody A, Rabitz H 1988 J. Chem. Phys. 88 6870
[11] Hornung T, Motzkus M, de Vivie-Riedle R 2002 Phys. Rev. A 65 021403(R)
[12] Brumer P, Shapiro M 1986 Chem. Phys. Lett. 126 541
[13] Shapiro M, Hepburn J W, Brumer P 1988 Chem. Phys. Lett. 149 451
[14] Niu Y Y, Wang R, Xiu J L 2012 Acta Phys.Sin. 61 093302 (in Chinese)[牛英煜, 王荣, 修俊玲2012 61 093302]
[15] Wang R, Xiu J L, Niu Y Y 2013 Acta Phys. Sin. 62 093301 (in Chinese)[王荣, 修俊玲, 牛英煜2013 62 093301]
[16] Charron E, Giusti-Suzor A, Mies F H 1993 Phys. Rev. Lett. 71 692
[17] Bandrauk A D, Chelkowski S 2000 Phys. Rev. Lett. 84 3562
[18] Ohmura H, Nakanaga T, Tachiya M 2004 Phys. Rev. Lett. 92 113002
[19] Yatsenko L P, Guérin S, Halfmann T, Böhmer K, Shore B W, Bergmann K 1998 Phys. Rev. A 58 4683
[20] Marx C A, Jakubetz W 2006 J. Chem. Phys. 125 234103
[21] Böhmer K, Halfmann T, Yatsenko L P, Shore B W, Bergmann K 2001 Phys. Rev. A 64 023404
[22] Niu Y Y, Wang R, Qiu M H 2011 Phys. Rev. A 84 023406
[23] Remacle F, Levine R D 2006 Phys. Rev. A 73 033820
[24] Shu C C, Yu J, Yuan K J, Hu W H, Yang J, Cong S L 2009 Phys. Rev. A 79 023418
[25] Andrianov I V, Paramonov G K 1999 Phys. Rev. A 59 2134
[26] Feit M D, Fleck Jr J A, Steiger A 1982 J. Comput. Phys. 47 412
[27] Han Y C, Yuan K J, Hu W H, Yan T M, Cong S L 2008 J. Chem. Phys. 128 134303
[28] Marston C C, Balint-Kurti G G 1989 J. Chem. Phys. 91 3571
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[1] Bergmann K, Theuer H, Shore B W 1998 Rev. Mod. Phys. 70 1003
[2] Shapiro E A, Pe'er A, Ye J, Shapiro M 2008 Phys. Rev. Lett. 101 023601
[3] Hu J, Han K L, He G Z 2005 Phys. Rev. Lett. 95 123001
[4] Luo S, Zhu R, He L, Hu W, Li X, Ma P, Wang C, Liu F, Roeterdink W G, Stolte S, Ding D 2015 Phys. Rev. A 91 053408
[5] Liu F, Wang J, Zhao J, Xu Y, Meng Q T 2011 Acta Phys. Sin. 60 040202 (in Chinese)[刘芳, 王军, 赵娟, 许燕, 孟庆田2011 60 040202]
[6] Takekoshi T, Reichsllner L, Schindewolf A, Hutson J M, Sueur C R L, Dulieu O, Ferlaino F, Grimm R, Nägerl H C 2014 Phys. Rev. Lett. 113 205301
[7] Vitanov N V, Shore B W 2006 Phys. Rev. A 73 053402
[8] Niu Y Y, Wang R, Qiu M H 2010 Phys. Rev. A 81 043406
[9] Castro A, Werschnik J, Gross E K U 2012 Phys. Rev. Lett. 109 153603
[10] Shi S H, Woody A, Rabitz H 1988 J. Chem. Phys. 88 6870
[11] Hornung T, Motzkus M, de Vivie-Riedle R 2002 Phys. Rev. A 65 021403(R)
[12] Brumer P, Shapiro M 1986 Chem. Phys. Lett. 126 541
[13] Shapiro M, Hepburn J W, Brumer P 1988 Chem. Phys. Lett. 149 451
[14] Niu Y Y, Wang R, Xiu J L 2012 Acta Phys.Sin. 61 093302 (in Chinese)[牛英煜, 王荣, 修俊玲2012 61 093302]
[15] Wang R, Xiu J L, Niu Y Y 2013 Acta Phys. Sin. 62 093301 (in Chinese)[王荣, 修俊玲, 牛英煜2013 62 093301]
[16] Charron E, Giusti-Suzor A, Mies F H 1993 Phys. Rev. Lett. 71 692
[17] Bandrauk A D, Chelkowski S 2000 Phys. Rev. Lett. 84 3562
[18] Ohmura H, Nakanaga T, Tachiya M 2004 Phys. Rev. Lett. 92 113002
[19] Yatsenko L P, Guérin S, Halfmann T, Böhmer K, Shore B W, Bergmann K 1998 Phys. Rev. A 58 4683
[20] Marx C A, Jakubetz W 2006 J. Chem. Phys. 125 234103
[21] Böhmer K, Halfmann T, Yatsenko L P, Shore B W, Bergmann K 2001 Phys. Rev. A 64 023404
[22] Niu Y Y, Wang R, Qiu M H 2011 Phys. Rev. A 84 023406
[23] Remacle F, Levine R D 2006 Phys. Rev. A 73 033820
[24] Shu C C, Yu J, Yuan K J, Hu W H, Yang J, Cong S L 2009 Phys. Rev. A 79 023418
[25] Andrianov I V, Paramonov G K 1999 Phys. Rev. A 59 2134
[26] Feit M D, Fleck Jr J A, Steiger A 1982 J. Comput. Phys. 47 412
[27] Han Y C, Yuan K J, Hu W H, Yan T M, Cong S L 2008 J. Chem. Phys. 128 134303
[28] Marston C C, Balint-Kurti G G 1989 J. Chem. Phys. 91 3571
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