D2+强场解离的电子局域化随激光波长的非线性变化

季玲玲; 童明强; 王玉华

doi:10.7498/aps.63.180301

摘要

研究了周期量级激光脉冲的波长变化对氘分子离子D2+强场解离过程中电子局域化的影响. 通过求解波恩-奥本海默近似下关于核波包演化的双能级含时薛定谔方程，发现电子局域化的不对称性对激光波长有反常的依赖关系. 电子局域程度随着波长的增加呈现增强的趋势，但在某些波长范围内电子局域化出现了显著的衰减. 导致电子局域化程度被削弱的直接原因是在某些波长下不同振动态的电子局域化对脉冲载波包络相位的响应出现了反相抵消. 分析表明，当波长发生变化时，决定电子局域化的核运动和电子运动在外场作用下出现不一致的运动响应，最终导致了电子局域化的非线性变化.

关键词:

Abstract

The wavelength dependence of the electron localization in dissociating molecular ion D2+ is investigated via solving the time-dependent Schrödinger equation of the two-state model of the molecular ion. Our results reveal an anomalous dependence of the electron localization on the laser wavelength. Overall, the degree of the electron localization shows a growing trend with the increase of wavelength, but it drops off obviously at some wavelengths. It is found that the localization asymmetries for some vibrational states become opposite in phase when the wavelength is changed, leading to the decline of the electron localization. Further analysis shows that the nuclear and electronic motions that determine the electron localization respond inconsistently to the variation of the wavelength, ultimately resulting in the non-linear dependence of the electron localization on the laser wavelength.

Keywords:

作者及机构信息

1.
武汉科技大学应用物理系, 武汉 430081

基金项目: 国家自然科学基金（批准号：10904120）资助的课题.

Authors and contacts

1.
Department of Applied Physics, Wuhan University of Science and Technology, Wuhan 430081, China

Funds: Project supported by the National Natural Science Foundation of China (Grant No. 10904120).

参考文献

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[41]	Lan P F, Lu P X, Li Q, Li F, Hong W Y, Zhang Q 2009 Phys. Rev. A 79 043413
[42]	Tate J, Auguste T, Muller H G, Salières P, Agostini P, DiMauro L F 2007 Phys. Rev. Lett. 98 013901
[43]	Hong W Y, Lu P F, Li Q, Zhang Q B 2009 Opt. Lett. 34 2102
[44]	Liu K L, Hong W Y, Zhang Q B, Lu P X 2011 Opt. Express 19 26359
[45]	Znakovskaya I, von den Hoff P, Marcus G, Zherebtsov S, Bergues B, Gu X, Deng Y, Vrakking M J J, Kienberger R, Krausz F, de Vivie-Riedle R, Kling M F 2012 Phys. Rev. Lett. 108 063002
[46]	Liao Q, Zhou Y M, Huang C, Lu P X 2012 New J. Phys. 14 013001
[47]	Kelkensberg F, Sansone G, Ivanov M Y, Vrakking M 2011 Phys. Chem. Chem. Phys. 13 8647
[48]	Jia Z M, Zeng Z N, Li R X, Xu Z Z, Deng Y P 2014 Phys. Rev. A 89 023419
[49]	Xu T Y, He F 2013 Phys. Rev. A 88 043426

施引文献

[1]	Zewail A H 2000 J. Phys. Chem. A 104 5660
[2]	Posthumus J H 2004 Rep. Prog. Phys. 67 623
[3]	Bandrauk A D, Chelkowski S, Nguyen H S 2004 Int. J. Quant. Chem. 100 834
[4]	Liu K L, Zhang Q B, Lan P F, Lu P X 2013 Opt. Express 21 5107
[5]	Lan P F, Lu P X, Cao W, Li Y H, Wang X L 2007 Phys. Rev. A 76 011402
[6]	Corkum P B, Krausz F 2007 Nature Phys. 3 381
[7]	Krausz F, Ivanov M 2009 Rev. Mod. Phys. 81 163
[8]	Lan P F, Lu P X, Cao W, Wang X L, Hong W Y 2007 Opt. Lett. 32 1186
[9]	Goulielmakis E, Schultze M, Hofstetter M, Yakovlev V S, Gagnon J, Uiberacker M, Aquila A L, Gullikson E M, Attwood D T, Kienberger R, Krausz F, Kleineberg U 2008 Science 320 1614
[10]	Cao W, Lu P, Lan P, Wang X, Yang G 2006 Phys. Rev. A 74 063821
[11]	Hong W Y, Lu P F, Cao W, Lan P, Wang X 2007 J. Phys. B 40 2321
[12]	Weber T, Giessen H, Weckenbrock M, Urbasch G, Staudte A, Spielberger L, Jagutzki O, Mergel V, Vollmer M, Dörner R 2000 Nature 405 658
[13]	Zhou Y M, Huang C, Liao Q, Lu P 2012 Phys. Rev. Lett. 109 053004
[14]	Kienberger R, Goulielmakis E, Uiberacker M, Baltuska A, Yakovlev V, Bammer F, Scrinzi A, Westerwalbesloh Th, Kleineberg U, Heinzmann U, Drescher M, Krausz F 2007 Nature 427 817
[15]	Cao W, Lu P, Lan P, Wang X, Li Y 2007 Phys. Rev. A 75 063423
[16]	Lan P F, Lu P X, Li F, Li Y, Yang Z 2008 Opt. Express 16 5868
[17]	Zeng Z N, Li R X, Xie X H, Xu Z Z 2004 Acta Phys. Sin. 53 2316(in Chinese)[曾志男, 李儒新, 谢新华, 徐志展 2004 物理学报 53 2316]
[18]	Zhang Q B, Hong W Y, Lan P F, Yang Z Y, Lu P X 2008 Acta Phys. Sin. 57 7848(in Chinese)[张庆斌, 洪伟毅, 兰鹏飞, 杨振宇, 陆培祥 2008 物理学报 57 7848]
[19]	Wang S Y, Hong W Y, Zhang Q B, Li Q G, Lu P X 2010 Chin. Phys. B 19 083203
[20]	Luo L Y, Du H C, Hu B T 2012 Chin. Phys. B 21 033202
[21]	Cavalieri A L, Mller N, Uphues T, Yakovlev V S, Baltuška A, Horvath B, Schmidt B, Blmel L, Holzwarth R, Hendel S, Drescher M, Kleineberg U, Echenique P M, Kienberger R, Krausz F, Heinzmann U 2007 Nature 449 1029
[22]	Zhu X S, Zhang Q B, Hong W Y, Lu P X, Xu Z Z 2011 Opt. Express 19 24198
[23]	Wang J, Liu F, Yue D G, Zhao J, Xu Y, Meng Q T, Liu W K 2012 Chin. Phys. B 21 123301
[24]	Yue D G, Zheng X Y, Liu H, Wang C X, Meng Q T 2009 Chin. Phys. B 18 1479
[25]	Liu K L, Zhang Q B, Lu P X 2012 Phys. Rev. A 86 033410
[26]	Madsen C B, Anis F, Madsen L B, Esry B D 2012 Phys. Rev. Lett. 109 163003
[27]	Kling M F, Siedschlag C, Verhoef A J, Khan J I, Schultze M, Uphues T, Ni Y, Uiberacker M, Drescher M, Krausz F, Vrakking M J 2006 Science 312 246
[28]	He F, Ruiz C, Becker A 2007 Phys. Rev. Lett. 99 083002
[29]	Kremer M, Fischer B, Feuerstein B, de Jesus V L B, Sharma V, Hofrichter C, Rudenko A, Thumm U, SchrŚter C D, Moshammer R, Ullrich J 2009 Phys. Rev. Lett. 103 213003
[30]	Kling N G, Betsch K J, Zohrabi M, Zeng S, Anis F, Ablikim U, Jochim B, Wang Z, Kbel M, Kling M F, Carnes K D, Esry B D, Ben-Itzhak I 2013 Phys. Rev. Lett. 111 163004
[31]	Liu K L, Hong W Y, Lu P F 2011 Opt. Express 19 20279
[32]	Znakovskaya I, von den Hoff P, Zherebtsov S, Wirth A, Herrwerth O, Vrakking M, de Vivie-Riedle R, Kling M 2009 Phys. Rev. Lett. 103 103002
[33]	Lan P F, Lu P X, Cao W, Li Y H, Wang X L 2007 Phys. Rev. A 76 021801
[34]	Takemoto N, Becker A 2010 Phys. Rev. Lett. 105 203004
[35]	Zhang Q B, Lu P X, Lan P F, Hong W Y, Yang Z 2008 Opt. Express 16 9795
[36]	Hong W Y, Lu P X, Lan P F, Zhang Q B, Wang X L 2009 Opt. Express 17 5139
[37]	Hong W Y, Lu P X, Lan P F, Yang Z, Li Y H, Liao Q 2008 Phys. Rev. A 77 033410
[38]	Magrakvelidze M, He F, Niederhausen T, Litvinyuk I V, Thumm U 2009 Phys. Rev. A 79 033410
[39]	Silva F, Austin D R, Thai A, Baudisch M, Hemmer M, Faccio D, Couairon A, Biegert J 2012 Nature Comm. 3 807
[40]	Hong Z F, Zhang Q B, Lu P X 2013 Opt. Express 21 9491
[41]	Lan P F, Lu P X, Li Q, Li F, Hong W Y, Zhang Q 2009 Phys. Rev. A 79 043413
[42]	Tate J, Auguste T, Muller H G, Salières P, Agostini P, DiMauro L F 2007 Phys. Rev. Lett. 98 013901
[43]	Hong W Y, Lu P F, Li Q, Zhang Q B 2009 Opt. Lett. 34 2102
[44]	Liu K L, Hong W Y, Zhang Q B, Lu P X 2011 Opt. Express 19 26359
[45]	Znakovskaya I, von den Hoff P, Marcus G, Zherebtsov S, Bergues B, Gu X, Deng Y, Vrakking M J J, Kienberger R, Krausz F, de Vivie-Riedle R, Kling M F 2012 Phys. Rev. Lett. 108 063002
[46]	Liao Q, Zhou Y M, Huang C, Lu P X 2012 New J. Phys. 14 013001
[47]	Kelkensberg F, Sansone G, Ivanov M Y, Vrakking M 2011 Phys. Chem. Chem. Phys. 13 8647
[48]	Jia Z M, Zeng Z N, Li R X, Xu Z Z, Deng Y P 2014 Phys. Rev. A 89 023419
[49]	Xu T Y, He F 2013 Phys. Rev. A 88 043426

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