搜索

x

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

强激光场中原子单电离的半经典方法

肖相如 王慕雪 黎敏 耿基伟 刘运全 彭良友

引用本文:
Citation:

强激光场中原子单电离的半经典方法

肖相如, 王慕雪, 黎敏, 耿基伟, 刘运全, 彭良友

Semiclassical methods for strong field ionization of atoms

Xiao Xiang-Ru, Wang Mu-Xue, Li Min, Geng Ji-Wei, Liu Yun-Quan, Peng Liang-You
PDF
导出引用
  • 随着激光器技术的发展,实验室中可获得的激光场强度不断增大,可以观测到各种高度非线性的实验现象,比如原子分子中的电子可以从强激光场中吸收比克服电离能需要的光子数更多的光子而发生电离,被称为阈上电离.这些非线性现象向量子力学的微扰理论提出了挑战,而精确求解含时薛定谔方程的方法只局限在少数的简单原子或分子,并且计算复杂.在这种情形下,基于电子轨迹的半经典理论由于其物理过程清晰、计算简单等优点应运而生,在强场光电离领域已经广泛应用.本文从原子分子电离的经典描述出发,介绍了半经典理论的发展.半经典理论结合了量子力学隧穿效应、电子经典的轨道描述以及量子的相位信息,能够很好地解释在强场隧穿区的各种实验现象.文中重点介绍两种已经发展得较为成熟的半经典方法,即量子轨道蒙特卡罗方法(quantum trajectory Monte Carlo)和库仑修正下的强场近似方法(Coulomb-corrected strong field approximation).这两种方法的优点在于同时考虑了电子轨迹的库仑势作用以及电子轨迹之间的干涉效应,能够通过追踪电子的运动轨迹对电离电子动量谱中各种结构的形成给出直观清晰的解释.
    As the advances of laser technology, more and more nonlinear phenomena are observed in the atoms and molecules driven by strong laser pulses. Systematic investigations on these findings, such as above threshold ionization and high-order harmonic generation, will lead us to understanding the mechanisms in the microscopic world. The most exact way to simulate the experimental measurements is to solve the time-dependent Schrdinger equation (TDSE) numerically, in which the system is described by the wave function and thus one cannot have an intuitive insight into the underling process. Therefore, several semiclassical methods have been developed to understand the strong field ionization. In the classical point of view, the electrons tunnel out when the strong laser field suppresses the Coulomb potential. Then the electrons are driven by the laser electric field according to the Newtonian equations. Semiclassical methods take into account the tunnelling of the electron, the classical orbit of the electron, and the action as the phase of trajectory, which have successfully explained main structures in the ionization spectrum. Two of the most popular semiclassical methods are the quantum trajectory Monte Carlo method and the Coulomb-corrected strong field approximation method. In the present review, we will introduce these basic methods and show how they have been developed step by step, covering the most relevant and important works in the strong field physics. Finally we give two example of applications to show how these methods work. With the advantage of the classical picture, we can identify different kind of structures in the 2D photoelectron momentum distributions and tell how the structures are formed. Nonadiabatic effects can be studied by comparing the results of the two methods, together with accurate simulation from the numerical solution of TDSE. The current semiclassical methods can be further developed into advanced ones, which can be used in more complex molecular systems or multi-electron systems, and be widely used in the study of dynamics of molecule and atoms in strong laser fields.
      通信作者: 彭良友, liangyou.peng@pku.edu.cn
    • 基金项目: 国家自然科学基金(批准号:11574010,11322437)和国家重点基础研究发展计划(批准号:2013CB922402,2013CB922403)资助的课题.
      Corresponding author: Peng Liang-You, liangyou.peng@pku.edu.cn
    • Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 11574010, 11322437) and the National Basic Research Program of China (Grant Nos. 2013CB922402, 2013CB922403).
    [1]

    Göppert-Mayer M 1931Ann. Phys. 9 273

    [2]

    Breit G, Wheeler J A 1934Phys. Rev. 46 1087

    [3]

    Maiman T H 1960Nature 187 493

    [4]

    Brabec T, Krausz F 2000Rev. Mod. Phys. 72 545

    [5]

    Voronov G S, Delone N B 1965JETP Lett. 1 66

    [6]

    Voronov G S, Delone G A, Delone N B, Kudrevatova O V 1965JETP Lett. 2 377

    [7]

    Agostini P, Barjot G, Bonnal J, Mainfray G, Manus C, Morellec J 1968IEEE J. Quantum Electron. 4 667

    [8]

    Agostini P, Fabre F, Mainfray G, Petite G, Rahman N K 1979Phys. Rev. Lett. 42 1127

    [9]

    Keldysh L V 1964Zh. Eksp. Teor. Fiz. 47 1945[Keldysh L V 1965Sov. Phys.-JETP 20 1307(Engl. transl.)]

    [10]

    Faisal F H M 1973J. Phys. B:At. Mol. Opt. Phys. 6 L89

    [11]

    Reiss H R 1980Phys. Rev. A 22 1786

    [12]

    Perelomov A M, Popov V S, Terent'ev M V 1966Zh. Eksp. Teor. Fiz. 50 1393[Perelomov A M, Popov V S, Terent'ev M V 1966Sov. Phys. -JETP 23 924(Engl. transl.)]

    [13]

    Ammosov M V, Delone N B, Krainov V P 1986Zh. Eksp. Teor. Fiz. 91 2008[Ammosov M V, Delone N B, Krainov V P 1986Sov. Phys. -JETP 64 1191(Engl. transl.)]

    [14]

    Corkum P B, Burnett N H, Brunel F 1989Phys. Rev. Lett. 62 1259

    [15]

    Corkum P B 1993Phys. Rev. Lett. 71 1994

    [16]

    Li M, Geng J W, Liu H, Deng Y, Wu C, Peng L Y, Gong Q, Liu Y 2014Phys. Rev. Lett. 112 113002

    [17]

    Yan T M, Popruzhenko S V, Vrakking M J J, Bauer D 2010Phys. Rev. Lett. 105 253002

    [18]

    Hu B, Liu J, Chen S 1997Phys. Lett. A 236 533

    [19]

    Geng J W, Qin L, Li M, Xiong W H, Liu Y, Gong Q, Peng L Y 2014J. Phys. B:At. Mol. Opt. Phys. 47 204027

    [20]

    Mohideen U, Sher M H, Tom H W K, Aumiller G D, Wood O R, Freeman R R, Boker J, Bucksbaum P H 1993Phys. Rev. Lett. 71 509

    [21]

    Arissian L, Smeenk C, Turner F, Trallero C, Sokolov A V, Villeneuve D M, Staudte A, Corkum P B 2010Phys. Rev. Lett. 105 133002

    [22]

    Landau L D, Lifshits E M 1963Quantum Mechanics (2nd Ed.) (Moscow:Fizmatlit)

    [23]

    Smirnov B M, Chibisov M I 1966Sov. Phys. JETP 22 585

    [24]

    Popov V S 2004Usp. Fiz. Nauk 174 921

    [25]

    Popov V S 2004Phys. Usp. 47 855

    [26]

    Hartree D R 1927Proc. Camb. Phil. Soc. 24 89

    [27]

    Delone N B, Krainov V P 1991J. Opt. Soc. Am. B 8 1207

    [28]

    Delone N B, Krainov V P 1985 Atoms in Strong Light Fields (Berlin, New York:Springer-Verlag)

    [29]

    Krainov V P 1997J. Opt. Soc. Am. B 14 425

    [30]

    Chen J, Liu J, Chen S G 2000Phys. Rev. A 61 033402

    [31]

    Nubbemeyer T, Gorling K, Saenz A, Eichmann U, Sandner W 2008Phys. Rev. Lett. 101 233001

    [32]

    Shvetsov-Shilovski N I, Goreslavski S P, Popruzhenko S V, Becker W 2009Laser Phys. 19 1550

    [33]

    Shvetsov-Shilovski N I, Dimitrovski D, Madsen L B 2012Phys. Rev. A 85 023428

    [34]

    Feynman R P 1948Rev. Mod. Phys. 20 367

    [35]

    Milǒsević D B 2013J. Math. Phys. 54 042101

    [36]

    Salieres P, Carré B, Le Déroff L, Grasbon F, Paulus G G, Walther H, Kopold R, Becker W, Milǒsević D B, Sanpera A, Lewenstein M 2001Science 292 902

    [37]

    Shvetsov-Shilovski N I, Lein M, Madsen L B, Räsänen E, Lemell C, Burgdärfer J, Arbó D G, Tökési K 2016Phys. Rev. A 94 013415

    [38]

    Popruzhenko S V 2014J. Phys. B:At. Mol. Opt. Phys. 47 204001

    [39]

    Frolov M V, Manakov N L, Silaev A A, Vvedenskii N V 2010Phys. Rev. A 81 063407

    [40]

    Frolov M V, Manakov N L, Sarantseva T S 2011Phys. Rev. A 83 043416

    [41]

    Frolov M V, Manakov N L, Silaev A A, Vvedenskii N V, Starace A F 2011Phys. Rev. A 83 021405

    [42]

    Frolov M V, Knyazeva D V, Manakov N L, Popov A M, Tikhonova O V, Volkova E A, Xu M H, Peng L Y, Pi L W, Starace A F 2012Phys. Rev. Lett. 108 213002

    [43]

    Frolov M V, Manakov N L, Sarantseva T S, Starace A F 2012Phys. Rev. A 86 063406

    [44]

    Frolov M V, Manakov N L, Popov A M, Tikhonova O V, Volkova E A, Silaev A A, Vvedenskii N V, Starace A F 2012Phys. Rev. A 85 033416

    [45]

    Frolov M V, Knyazeva D V, Manakov N L, Geng J W, Peng L Y, Starace A F 2014Phys. Rev. A 89 063419

    [46]

    Shivaram N, Timmers H, Tong X M, Sandhu A 2011Phys. Rev. Lett. 108 193002

    [47]

    Chu S I, Telnov D A 2004Phys. Rep. 390 1

    [48]

    Kaushal J, Smirnova O 2013Phys. Rev. A 88 013412

    [49]

    Torlina L, Smirnova O 2012Phys. Rev. A 86 043408

    [50]

    Barth I, Friedland L, Gat O, Shagalov A G 2011Phys. Rev. A 84 013837

    [51]

    Gordon W 1926Z. Phys. 40 117

    [52]

    Wolkow D M 1935Z. Phys. 94 250

    [53]

    Volkov D M 1937Zh. Eksp. Teor. Fiz. 7 1286

    [54]

    Berestetskii V B, Lifshitz E M, Pitaevskii L P 1982Quantum Electrodynamics (2nd Ed.) (Oxford:Pergamon)

    [55]

    Becker W, Grasbon F, Kopold R, Milošević D B, Paulus G G, Walther H 2002Adv. At. Mol. Opt. Phys. 48 35

    [56]

    Bleistein N, Handelsman R A 1986Asymptotic Expansions of Integrals (New York:Dover Publications, Inc.)

    [57]

    Gribakin G F, Kuchiev M Y 1997Phys. Rev. A 55 3760

    [58]

    Lewenstein M, Balcou P, Ivanov M Y, L'Huillier A, Corkum P B 1994Phys. Rev. A 49 2117

    [59]

    Figueira De Morrison Faria C, Schomerus H, Becker W 2002Phys. Rev. A 66 043413

    [60]

    Milošević D B, Paulus G G, Bauer D, Becker W 2006J. Phys. B:At. Mol. Opt. Phys. 39 R203

    [61]

    Kitzler M, Miloševic N, Scrinzi A, Krausz F, Brabec T 2002Phys. Rev. Lett. 88 173904

    [62]

    Geng J W, Peng L Y, Song S N, Gong Q 2013Phys. Rev. A 88 053418

    [63]

    Popruzhenko S V, Mur V D, Popov V S, Bauer D 2008Phys. Rev. Lett. 101 193003

    [64]

    Popov V S 2005Phys. At. Nucl. 68 686

    [65]

    Suárez N, Chacón A, Ciappina M F, Biegert J, Lewenstein M 2015Phys. Rev. A 92 063421

    [66]

    Guo L, Han S S, Liu X, Cheng Y, Xu Z Z, Fan J, Chen J, Chen S G, Becker W, Blaga C I, DiChiara A D, Sistrunk E, Agostini P, DiMauro L F 2013Phys. Rev. Lett. 110 013001

    [67]

    Jain M, Tzoar N 1978Phys. Rev. A 18 538

    [68]

    Cavalieri P, Ferrante G, Leone C 1980J. Phys. B:At. Mol. Opt. Phys. 13 4495

    [69]

    Dorr M, Shakeshaft R 1987Phys. Rev. A 36 421

    [70]

    Shakeshaft R, Potvliege 1987Phys. Rev. A 36 5478

    [71]

    Basile S, Trombetta F, Ferrante G 1988Phys. Rev. Lett. 61 2435

    [72]

    Jaron A, Kaminski J Z, Ehlotzky F 1999Opt. Commun. 163 115

    [73]

    Paulus G G, Grasbon F, Dreischuh A, Walther H, Kopold R, Becker W 2000Phys. Rev. Lett. 84 3791

    [74]

    Arbó D G, Miraglia J E, Gravielle M S, Schiessl K, Persson E, Burgdörfer J 2008Phys. Rev. A 77 013401

    [75]

    Kornev A S, Zon B A 2002Laser Phys. 12 795

    [76]

    Kornev A S, Zon B A 2002J. Phys. B:At. Mol. Opt. Phys. 35 2451

    [77]

    Popruzhenko S V, Paulus G G, Bauer D 2008Phys. Rev. A 77 053409

    [78]

    Popruzhenko S V, Bauer D 2008J. Mod. Opt. 55 2573

    [79]

    Yan T M, Bauer D 2012Phys. Rev. A 86 053403

    [80]

    Xiao X R, Wang M X, Xiong W H, Peng L Y 2016Phys. Rev. E (in press)

    [81]

    Hentschel M, Kienberger R, Spielmann C, Reider G A, Miloševic N, Brabec T, Corkum P, Heinzmann U, Drescher M, Krausz F 2001Nature 414 509

    [82]

    Paul P M, Toma E S, Breger P, Mullot G, Auge F, Balcou P, Muller H G, Agostini P 2001Science 292 1689

    [83]

    Peng L Y, Jiang W C, Geng J W, Xiong W H, Gong Q 2015Phys. Rep. 575 1

    [84]

    Krausz F, Ivanov M 2009Rev. Mod. Phys. 81 163

    [85]

    Gazibegović-Busuladžić A, Milošević D B, Becker W 2007Opt. Commun. 275 116

    [86]

    Korneev P A, Popruzhenko S V, Goreslavski S P, Becker W, Paulus G G, Fetić B, Milošević D B 2012New J. Phys. 14 055019

    [87]

    Lohr A, Kleber M, Kopold R, Becker W 1997Phys. Rev. A 55 R4003

    [88]

    Goreslavski S P, Paulus G G, Popruzhenko S V, Shvetsov-Shilovski N I 2004Phys. Rev. Lett. 93 233002

    [89]

    Chelkowski S, Bandrauk A D 2005Phys. Rev. A 71 053815

    [90]

    Li M, Liu Y, Liu H, Ning Q, Fu L, Liu J, Deng Y, Wu C, Peng L, Gong Q 2013Phys. Rev. Lett. 111 023006

    [91]

    Liu H, Liu Y, Fu L, Xin G, Ye D, Liu J, He X T, Yang Y, Liu X, Deng Y, Wu C, Gong Q 2012Phys. Rev. Lett. 109 093001

    [92]

    Li M, Qin L, Wu C, Peng L, Gong Q, Liu Y 2014Phys. Rev. A 89 013422

    [93]

    Huismans Y, Rouzee A, Gijsbertsen A, Jungmann J H, Smolkowska A S, Logman P S W M, Lepine F, Cauchy C, Zamith S, Marchenko T, Bakker J M, Berden G, Redlich B, van der Meer A F G, Muller H G, Vermin W, Schafer K J, Spanner M, Ivanov M Y, Smirnova O, Bauer D, Popruzhenko S V, Vrakking M J J 2011Science 331 61

    [94]

    Huismans Y, Gijsbertsen A, Smolkowska A S, Jungmann J H, Rouzée A, Logman P S W M, Lépine F, Cauchy C, Zamith S, Marchenko T, Bakker J M, Berden G, Redlich B, van der Meer A F G, Ivanov M Y, Yan T M, Bauer D, Smirnova O, Vrakking M J J 2012Phys. Rev. Lett. 109 013002

    [95]

    Bian X B, Huismans Y, Smirnova O, Yuan K J, Vrakking M J J, Bandrauk A D 2011Phys. Rev. A 84 043420

    [96]

    Bian X B, Bandrauk A D 2012Phys. Rev. Lett. 108 263003

    [97]

    Bian X B, Bandrauk A D 2014Phys. Rev. A 89 033423

    [98]

    Li M, Sun X, Xie X, Shao Y, Deng Y, Wu C, Gong Q, Liu Y 2015Sci. Rep. 5 8519

    [99]

    Chen Z, Morishita T, Le A T, Wickenhauser M, Tong X M, Lin C D 2006Phys. Rev. A 74 053405

    [100]

    Arbó D G, Yoshida S, Persson E, Dimitriou K I, Burgdörfer J 2006Phys. Rev. Lett. 96 143003

    [101]

    Arbó D G, Dimitriou K I, Persson E, Burgdörfer J 2008Phys. Rev. A 78 013406

    [102]

    Arbó D G, Ishikawa K L, Schiessl K, Persson E, Burgdörfer J 2010Phys. Rev. A 81 021403

    [103]

    Blaga C I, Catoire F, Colosimo P, Paulus G G, Muller H G, Agostini P, DiMauro L F 2009Nat. Phys. 5 335

    [104]

    Faisal F H M 2009Nat. Phys. 5 319

    [105]

    Quan W, Lin Z, Wu M, Kang H, Liu H, Liu X, Chen J, Liu J, He X T, Chen S G, Xiong H, Guo L, Xu H, Fu Y, Cheng Y, Xu Z Z 2009Phys. Rev. Lett. 103 093001

    [106]

    Liu C, Hatsagortsyan K Z 2010Phys. Rev. Lett. 105 113003

    [107]

    Wu C Y, Yang Y D, Liu Y Q, Gong Q H, Wu M, Liu X, Hao X L, Li W D, He X T, Chen J 2012Phys. Rev. Lett. 109 043001

    [108]

    X, Liu P, Lin C, Sheng Z, Yu X, Yang W, Hu S, Chen J, Xu S, Chen Y, Quan W, Liu X 2016arxiv 1602.05668v1

    [109]

    Möller M, Meyer F, Sayler A M, Paulus G G, Kling M F, Schmidt B E, Becker W, Milošević D B 2014Phys. Rev. A 90 023412

    [110]

    Li M, Geng J W, Liu M M, Zheng X, Peng L Y, Gong Q, Liu Y 2015Phys. Rev. A 92 013416

    [111]

    Mancuso C A, Hickstein D D, Grychtol P, Knut R, Kfir O, Tong X M, Dollar F, Zusin D, Gopalakrishnan M, Gentry C, Turgut E, Ellis J L, Chen M, Fleischer A, Cohen O, Kapteyn H C, Murnane M M 2015Phys. Rev. A 91 031402

    [112]

    Mancuso C A, Hickstein D D, Dorney K M, Ellis J L, Hasović E, Knut R, Grychtol P, Gentry C, Gopalakrishnan M, Zusin D, Dollar F J, Tong X M, Milošević D B, Becker W, Kapteyn H C, Murnane M M 2016Phys. Rev. A 93 053406

    [113]

    Song X, Lin C, Sheng Z, Liu P, Chen Z, Yang W, Hu S, Lin C D, Chen J 2016Sci. Rep. 6 28392

    [114]

    Yudin G L, Ivanov M Y 2001Phys. Rev. A 64 013409

    [115]

    Bondar D I 2008Phys. Rev. A 78 015405

    [116]

    Li M, Geng J W, Han M, Liu M M, Peng L Y, Gong Q, Liu Y 2016Phys. Rev. A 93 013402

    [117]

    Geng J W, Xiong W H, Xiao X R, Peng L Y, Gong Q 2015Phys. Rev. Lett. 115 193001

    [118]

    Eckle P, Smolarski M, Schlup P, Biegert J, Staudte A, Schöffler M, Muller H G, Dörner R, Keller U 2008Nat. Phys. 4 565

    [119]

    Eckle P, Pfeiffer A N, Cirelli C, Staudte A, Dorner R, Muller H G, Buttiker M, Keller U 2008Science 322 1525

    [120]

    Pfeiffer A N, Cirelli C, Smolarski M, Dimitrovski D, Abu-samha M, Madsen L B, Keller U 2011Nat. Phys. 8 76

    [121]

    Pfeiffer A N, Cirelli C, Landsman A S, Smolarski M, Dimitrovski D, Madsen L B, Keller U 2012Phys. Rev. Lett. 109 083002

    [122]

    Boge R, Cirelli C, Landsman A S, Heuser S, Ludwig A, Maurer J, Weger M, Gallmann L, Keller U 2013Phys. Rev. Lett. 111 103003

    [123]

    Hofmann C, Landsman A S, Zielinski A, Cirelli C, Zimmermann T, Scrinzi A, Keller U 2014Phys. Rev. A 90 043406

    [124]

    Sun X, Li M, Yu J, Deng Y, Gong Q, Liu Y 2014Phys. Rev. A 89 045402

    [125]

    Mur V D, Popruzhenko S V, Popov V S 2001J. Exp. Theor. Phys. 92 777

  • [1]

    Göppert-Mayer M 1931Ann. Phys. 9 273

    [2]

    Breit G, Wheeler J A 1934Phys. Rev. 46 1087

    [3]

    Maiman T H 1960Nature 187 493

    [4]

    Brabec T, Krausz F 2000Rev. Mod. Phys. 72 545

    [5]

    Voronov G S, Delone N B 1965JETP Lett. 1 66

    [6]

    Voronov G S, Delone G A, Delone N B, Kudrevatova O V 1965JETP Lett. 2 377

    [7]

    Agostini P, Barjot G, Bonnal J, Mainfray G, Manus C, Morellec J 1968IEEE J. Quantum Electron. 4 667

    [8]

    Agostini P, Fabre F, Mainfray G, Petite G, Rahman N K 1979Phys. Rev. Lett. 42 1127

    [9]

    Keldysh L V 1964Zh. Eksp. Teor. Fiz. 47 1945[Keldysh L V 1965Sov. Phys.-JETP 20 1307(Engl. transl.)]

    [10]

    Faisal F H M 1973J. Phys. B:At. Mol. Opt. Phys. 6 L89

    [11]

    Reiss H R 1980Phys. Rev. A 22 1786

    [12]

    Perelomov A M, Popov V S, Terent'ev M V 1966Zh. Eksp. Teor. Fiz. 50 1393[Perelomov A M, Popov V S, Terent'ev M V 1966Sov. Phys. -JETP 23 924(Engl. transl.)]

    [13]

    Ammosov M V, Delone N B, Krainov V P 1986Zh. Eksp. Teor. Fiz. 91 2008[Ammosov M V, Delone N B, Krainov V P 1986Sov. Phys. -JETP 64 1191(Engl. transl.)]

    [14]

    Corkum P B, Burnett N H, Brunel F 1989Phys. Rev. Lett. 62 1259

    [15]

    Corkum P B 1993Phys. Rev. Lett. 71 1994

    [16]

    Li M, Geng J W, Liu H, Deng Y, Wu C, Peng L Y, Gong Q, Liu Y 2014Phys. Rev. Lett. 112 113002

    [17]

    Yan T M, Popruzhenko S V, Vrakking M J J, Bauer D 2010Phys. Rev. Lett. 105 253002

    [18]

    Hu B, Liu J, Chen S 1997Phys. Lett. A 236 533

    [19]

    Geng J W, Qin L, Li M, Xiong W H, Liu Y, Gong Q, Peng L Y 2014J. Phys. B:At. Mol. Opt. Phys. 47 204027

    [20]

    Mohideen U, Sher M H, Tom H W K, Aumiller G D, Wood O R, Freeman R R, Boker J, Bucksbaum P H 1993Phys. Rev. Lett. 71 509

    [21]

    Arissian L, Smeenk C, Turner F, Trallero C, Sokolov A V, Villeneuve D M, Staudte A, Corkum P B 2010Phys. Rev. Lett. 105 133002

    [22]

    Landau L D, Lifshits E M 1963Quantum Mechanics (2nd Ed.) (Moscow:Fizmatlit)

    [23]

    Smirnov B M, Chibisov M I 1966Sov. Phys. JETP 22 585

    [24]

    Popov V S 2004Usp. Fiz. Nauk 174 921

    [25]

    Popov V S 2004Phys. Usp. 47 855

    [26]

    Hartree D R 1927Proc. Camb. Phil. Soc. 24 89

    [27]

    Delone N B, Krainov V P 1991J. Opt. Soc. Am. B 8 1207

    [28]

    Delone N B, Krainov V P 1985 Atoms in Strong Light Fields (Berlin, New York:Springer-Verlag)

    [29]

    Krainov V P 1997J. Opt. Soc. Am. B 14 425

    [30]

    Chen J, Liu J, Chen S G 2000Phys. Rev. A 61 033402

    [31]

    Nubbemeyer T, Gorling K, Saenz A, Eichmann U, Sandner W 2008Phys. Rev. Lett. 101 233001

    [32]

    Shvetsov-Shilovski N I, Goreslavski S P, Popruzhenko S V, Becker W 2009Laser Phys. 19 1550

    [33]

    Shvetsov-Shilovski N I, Dimitrovski D, Madsen L B 2012Phys. Rev. A 85 023428

    [34]

    Feynman R P 1948Rev. Mod. Phys. 20 367

    [35]

    Milǒsević D B 2013J. Math. Phys. 54 042101

    [36]

    Salieres P, Carré B, Le Déroff L, Grasbon F, Paulus G G, Walther H, Kopold R, Becker W, Milǒsević D B, Sanpera A, Lewenstein M 2001Science 292 902

    [37]

    Shvetsov-Shilovski N I, Lein M, Madsen L B, Räsänen E, Lemell C, Burgdärfer J, Arbó D G, Tökési K 2016Phys. Rev. A 94 013415

    [38]

    Popruzhenko S V 2014J. Phys. B:At. Mol. Opt. Phys. 47 204001

    [39]

    Frolov M V, Manakov N L, Silaev A A, Vvedenskii N V 2010Phys. Rev. A 81 063407

    [40]

    Frolov M V, Manakov N L, Sarantseva T S 2011Phys. Rev. A 83 043416

    [41]

    Frolov M V, Manakov N L, Silaev A A, Vvedenskii N V, Starace A F 2011Phys. Rev. A 83 021405

    [42]

    Frolov M V, Knyazeva D V, Manakov N L, Popov A M, Tikhonova O V, Volkova E A, Xu M H, Peng L Y, Pi L W, Starace A F 2012Phys. Rev. Lett. 108 213002

    [43]

    Frolov M V, Manakov N L, Sarantseva T S, Starace A F 2012Phys. Rev. A 86 063406

    [44]

    Frolov M V, Manakov N L, Popov A M, Tikhonova O V, Volkova E A, Silaev A A, Vvedenskii N V, Starace A F 2012Phys. Rev. A 85 033416

    [45]

    Frolov M V, Knyazeva D V, Manakov N L, Geng J W, Peng L Y, Starace A F 2014Phys. Rev. A 89 063419

    [46]

    Shivaram N, Timmers H, Tong X M, Sandhu A 2011Phys. Rev. Lett. 108 193002

    [47]

    Chu S I, Telnov D A 2004Phys. Rep. 390 1

    [48]

    Kaushal J, Smirnova O 2013Phys. Rev. A 88 013412

    [49]

    Torlina L, Smirnova O 2012Phys. Rev. A 86 043408

    [50]

    Barth I, Friedland L, Gat O, Shagalov A G 2011Phys. Rev. A 84 013837

    [51]

    Gordon W 1926Z. Phys. 40 117

    [52]

    Wolkow D M 1935Z. Phys. 94 250

    [53]

    Volkov D M 1937Zh. Eksp. Teor. Fiz. 7 1286

    [54]

    Berestetskii V B, Lifshitz E M, Pitaevskii L P 1982Quantum Electrodynamics (2nd Ed.) (Oxford:Pergamon)

    [55]

    Becker W, Grasbon F, Kopold R, Milošević D B, Paulus G G, Walther H 2002Adv. At. Mol. Opt. Phys. 48 35

    [56]

    Bleistein N, Handelsman R A 1986Asymptotic Expansions of Integrals (New York:Dover Publications, Inc.)

    [57]

    Gribakin G F, Kuchiev M Y 1997Phys. Rev. A 55 3760

    [58]

    Lewenstein M, Balcou P, Ivanov M Y, L'Huillier A, Corkum P B 1994Phys. Rev. A 49 2117

    [59]

    Figueira De Morrison Faria C, Schomerus H, Becker W 2002Phys. Rev. A 66 043413

    [60]

    Milošević D B, Paulus G G, Bauer D, Becker W 2006J. Phys. B:At. Mol. Opt. Phys. 39 R203

    [61]

    Kitzler M, Miloševic N, Scrinzi A, Krausz F, Brabec T 2002Phys. Rev. Lett. 88 173904

    [62]

    Geng J W, Peng L Y, Song S N, Gong Q 2013Phys. Rev. A 88 053418

    [63]

    Popruzhenko S V, Mur V D, Popov V S, Bauer D 2008Phys. Rev. Lett. 101 193003

    [64]

    Popov V S 2005Phys. At. Nucl. 68 686

    [65]

    Suárez N, Chacón A, Ciappina M F, Biegert J, Lewenstein M 2015Phys. Rev. A 92 063421

    [66]

    Guo L, Han S S, Liu X, Cheng Y, Xu Z Z, Fan J, Chen J, Chen S G, Becker W, Blaga C I, DiChiara A D, Sistrunk E, Agostini P, DiMauro L F 2013Phys. Rev. Lett. 110 013001

    [67]

    Jain M, Tzoar N 1978Phys. Rev. A 18 538

    [68]

    Cavalieri P, Ferrante G, Leone C 1980J. Phys. B:At. Mol. Opt. Phys. 13 4495

    [69]

    Dorr M, Shakeshaft R 1987Phys. Rev. A 36 421

    [70]

    Shakeshaft R, Potvliege 1987Phys. Rev. A 36 5478

    [71]

    Basile S, Trombetta F, Ferrante G 1988Phys. Rev. Lett. 61 2435

    [72]

    Jaron A, Kaminski J Z, Ehlotzky F 1999Opt. Commun. 163 115

    [73]

    Paulus G G, Grasbon F, Dreischuh A, Walther H, Kopold R, Becker W 2000Phys. Rev. Lett. 84 3791

    [74]

    Arbó D G, Miraglia J E, Gravielle M S, Schiessl K, Persson E, Burgdörfer J 2008Phys. Rev. A 77 013401

    [75]

    Kornev A S, Zon B A 2002Laser Phys. 12 795

    [76]

    Kornev A S, Zon B A 2002J. Phys. B:At. Mol. Opt. Phys. 35 2451

    [77]

    Popruzhenko S V, Paulus G G, Bauer D 2008Phys. Rev. A 77 053409

    [78]

    Popruzhenko S V, Bauer D 2008J. Mod. Opt. 55 2573

    [79]

    Yan T M, Bauer D 2012Phys. Rev. A 86 053403

    [80]

    Xiao X R, Wang M X, Xiong W H, Peng L Y 2016Phys. Rev. E (in press)

    [81]

    Hentschel M, Kienberger R, Spielmann C, Reider G A, Miloševic N, Brabec T, Corkum P, Heinzmann U, Drescher M, Krausz F 2001Nature 414 509

    [82]

    Paul P M, Toma E S, Breger P, Mullot G, Auge F, Balcou P, Muller H G, Agostini P 2001Science 292 1689

    [83]

    Peng L Y, Jiang W C, Geng J W, Xiong W H, Gong Q 2015Phys. Rep. 575 1

    [84]

    Krausz F, Ivanov M 2009Rev. Mod. Phys. 81 163

    [85]

    Gazibegović-Busuladžić A, Milošević D B, Becker W 2007Opt. Commun. 275 116

    [86]

    Korneev P A, Popruzhenko S V, Goreslavski S P, Becker W, Paulus G G, Fetić B, Milošević D B 2012New J. Phys. 14 055019

    [87]

    Lohr A, Kleber M, Kopold R, Becker W 1997Phys. Rev. A 55 R4003

    [88]

    Goreslavski S P, Paulus G G, Popruzhenko S V, Shvetsov-Shilovski N I 2004Phys. Rev. Lett. 93 233002

    [89]

    Chelkowski S, Bandrauk A D 2005Phys. Rev. A 71 053815

    [90]

    Li M, Liu Y, Liu H, Ning Q, Fu L, Liu J, Deng Y, Wu C, Peng L, Gong Q 2013Phys. Rev. Lett. 111 023006

    [91]

    Liu H, Liu Y, Fu L, Xin G, Ye D, Liu J, He X T, Yang Y, Liu X, Deng Y, Wu C, Gong Q 2012Phys. Rev. Lett. 109 093001

    [92]

    Li M, Qin L, Wu C, Peng L, Gong Q, Liu Y 2014Phys. Rev. A 89 013422

    [93]

    Huismans Y, Rouzee A, Gijsbertsen A, Jungmann J H, Smolkowska A S, Logman P S W M, Lepine F, Cauchy C, Zamith S, Marchenko T, Bakker J M, Berden G, Redlich B, van der Meer A F G, Muller H G, Vermin W, Schafer K J, Spanner M, Ivanov M Y, Smirnova O, Bauer D, Popruzhenko S V, Vrakking M J J 2011Science 331 61

    [94]

    Huismans Y, Gijsbertsen A, Smolkowska A S, Jungmann J H, Rouzée A, Logman P S W M, Lépine F, Cauchy C, Zamith S, Marchenko T, Bakker J M, Berden G, Redlich B, van der Meer A F G, Ivanov M Y, Yan T M, Bauer D, Smirnova O, Vrakking M J J 2012Phys. Rev. Lett. 109 013002

    [95]

    Bian X B, Huismans Y, Smirnova O, Yuan K J, Vrakking M J J, Bandrauk A D 2011Phys. Rev. A 84 043420

    [96]

    Bian X B, Bandrauk A D 2012Phys. Rev. Lett. 108 263003

    [97]

    Bian X B, Bandrauk A D 2014Phys. Rev. A 89 033423

    [98]

    Li M, Sun X, Xie X, Shao Y, Deng Y, Wu C, Gong Q, Liu Y 2015Sci. Rep. 5 8519

    [99]

    Chen Z, Morishita T, Le A T, Wickenhauser M, Tong X M, Lin C D 2006Phys. Rev. A 74 053405

    [100]

    Arbó D G, Yoshida S, Persson E, Dimitriou K I, Burgdörfer J 2006Phys. Rev. Lett. 96 143003

    [101]

    Arbó D G, Dimitriou K I, Persson E, Burgdörfer J 2008Phys. Rev. A 78 013406

    [102]

    Arbó D G, Ishikawa K L, Schiessl K, Persson E, Burgdörfer J 2010Phys. Rev. A 81 021403

    [103]

    Blaga C I, Catoire F, Colosimo P, Paulus G G, Muller H G, Agostini P, DiMauro L F 2009Nat. Phys. 5 335

    [104]

    Faisal F H M 2009Nat. Phys. 5 319

    [105]

    Quan W, Lin Z, Wu M, Kang H, Liu H, Liu X, Chen J, Liu J, He X T, Chen S G, Xiong H, Guo L, Xu H, Fu Y, Cheng Y, Xu Z Z 2009Phys. Rev. Lett. 103 093001

    [106]

    Liu C, Hatsagortsyan K Z 2010Phys. Rev. Lett. 105 113003

    [107]

    Wu C Y, Yang Y D, Liu Y Q, Gong Q H, Wu M, Liu X, Hao X L, Li W D, He X T, Chen J 2012Phys. Rev. Lett. 109 043001

    [108]

    X, Liu P, Lin C, Sheng Z, Yu X, Yang W, Hu S, Chen J, Xu S, Chen Y, Quan W, Liu X 2016arxiv 1602.05668v1

    [109]

    Möller M, Meyer F, Sayler A M, Paulus G G, Kling M F, Schmidt B E, Becker W, Milošević D B 2014Phys. Rev. A 90 023412

    [110]

    Li M, Geng J W, Liu M M, Zheng X, Peng L Y, Gong Q, Liu Y 2015Phys. Rev. A 92 013416

    [111]

    Mancuso C A, Hickstein D D, Grychtol P, Knut R, Kfir O, Tong X M, Dollar F, Zusin D, Gopalakrishnan M, Gentry C, Turgut E, Ellis J L, Chen M, Fleischer A, Cohen O, Kapteyn H C, Murnane M M 2015Phys. Rev. A 91 031402

    [112]

    Mancuso C A, Hickstein D D, Dorney K M, Ellis J L, Hasović E, Knut R, Grychtol P, Gentry C, Gopalakrishnan M, Zusin D, Dollar F J, Tong X M, Milošević D B, Becker W, Kapteyn H C, Murnane M M 2016Phys. Rev. A 93 053406

    [113]

    Song X, Lin C, Sheng Z, Liu P, Chen Z, Yang W, Hu S, Lin C D, Chen J 2016Sci. Rep. 6 28392

    [114]

    Yudin G L, Ivanov M Y 2001Phys. Rev. A 64 013409

    [115]

    Bondar D I 2008Phys. Rev. A 78 015405

    [116]

    Li M, Geng J W, Han M, Liu M M, Peng L Y, Gong Q, Liu Y 2016Phys. Rev. A 93 013402

    [117]

    Geng J W, Xiong W H, Xiao X R, Peng L Y, Gong Q 2015Phys. Rev. Lett. 115 193001

    [118]

    Eckle P, Smolarski M, Schlup P, Biegert J, Staudte A, Schöffler M, Muller H G, Dörner R, Keller U 2008Nat. Phys. 4 565

    [119]

    Eckle P, Pfeiffer A N, Cirelli C, Staudte A, Dorner R, Muller H G, Buttiker M, Keller U 2008Science 322 1525

    [120]

    Pfeiffer A N, Cirelli C, Smolarski M, Dimitrovski D, Abu-samha M, Madsen L B, Keller U 2011Nat. Phys. 8 76

    [121]

    Pfeiffer A N, Cirelli C, Landsman A S, Smolarski M, Dimitrovski D, Madsen L B, Keller U 2012Phys. Rev. Lett. 109 083002

    [122]

    Boge R, Cirelli C, Landsman A S, Heuser S, Ludwig A, Maurer J, Weger M, Gallmann L, Keller U 2013Phys. Rev. Lett. 111 103003

    [123]

    Hofmann C, Landsman A S, Zielinski A, Cirelli C, Zimmermann T, Scrinzi A, Keller U 2014Phys. Rev. A 90 043406

    [124]

    Sun X, Li M, Yu J, Deng Y, Gong Q, Liu Y 2014Phys. Rev. A 89 045402

    [125]

    Mur V D, Popruzhenko S V, Popov V S 2001J. Exp. Theor. Phys. 92 777

  • [1] 刘庆康, 张旭, 蔡洪波, 张恩浩, 高妍琦, 朱少平. 强度调制宽带激光对受激拉曼散射动理学爆发的抑制. 物理学报, 2024, 73(5): 055202. doi: 10.7498/aps.73.20231679
    [2] 孙小聪, 李卫, 王雅君, 郑耀辉. 基于压缩态光场的量子增强型光学相位追踪. 物理学报, 2024, 73(5): 054203. doi: 10.7498/aps.73.20231835
    [3] 雷照康, 武耀蓉, 黄晨阳, 莫润阳, 沈壮志, 王成会, 郭建中, 林书玉. 驻波场中环状空化泡聚集结构的稳定性分析. 物理学报, 2024, 0(0): . doi: 10.7498/aps.73.20231956
    [4] 李桑丫, 张艾霖, 徐欣, 吕涛, 王世康, 罗箐. 基于强流离子源的离子束溅射镀膜设备均匀性优化. 物理学报, 2024, 73(5): 058101. doi: 10.7498/aps.73.20231491
    [5] 盛泉, 耿婧旎, 王爱华, 王盟, 齐岳, 刘俊杰, 付士杰, 史伟, 姚建铨. 基于猫眼逆反射器的大范围免调试激光器. 物理学报, 2023, 72(4): 044203. doi: 10.7498/aps.72.20221956
    [6] 赖赣平, 张晓卫. 考虑原子亚稳态的镥金属蒸发过程模拟研究. 物理学报, 2023, 72(18): 184702. doi: 10.7498/aps.72.20230602
    [7] 裴丽娅, 郑世阳, 牛金艳. 基于调控原子相干的Λ-型电磁感应透明与吸收. 物理学报, 2022, 71(22): 224201. doi: 10.7498/aps.71.20220950
    [8] 王凯楠, 徐晗, 周寅, 许云鹏, 宋微, 汤鸿志, 王巧薇, 朱栋, 翁堪兴, 王河林, 彭树萍, 王肖隆, 程冰, 李德钊, 乔中坤, 吴彬, 林强. 基于车载原子重力仪的外场绝对重力快速测绘研究. 物理学报, 2022, 71(15): 159101. doi: 10.7498/aps.71.20220267
    [9] 吴逢川, 林沂, 武博, 付云起. 里德伯原子的射频脉冲响应特性. 物理学报, 2022, 71(20): 207402. doi: 10.7498/aps.71.20220972
    [10] 姚熠舟, 曹丹, 颜洁, 刘雪吟, 王建峰, 姜舟婷, 舒海波. 氧氯化铋/铯铅氯范德瓦耳斯异质结环境稳定性与光电性质的第一性原理研究. 物理学报, 2022, 71(19): 197901. doi: 10.7498/aps.71.20220544
    [11] 李盈傧, 秦玲玲, 陈红梅, 李怡涵, 何锦锦, 史璐珂, 翟春洋, 汤清彬, 刘爱华, 余本海. 强激光场下原子超快动力学过程中的能量交换. 物理学报, 2022, 71(4): 043201. doi: 10.7498/aps.71.20211703
    [12] 姚春霞, 何其利, 张锦, 付天宇, 吴朝, 王山峰, 黄万霞, 袁清习, 刘鹏, 王研, 张凯. 免分析光栅一次曝光相位衬度成像方法. 物理学报, 2021, 70(2): 028701. doi: 10.7498/aps.70.20201170
    [13] 张继业, 张建伟, 曾玉刚, 张俊, 宁永强, 张星, 秦莉, 刘云, 王立军. 高功率垂直外腔面发射半导体激光器增益设计及制备. 物理学报, 2020, 69(5): 054204. doi: 10.7498/aps.69.20191787
    [14] 王鹏, 潘凤春, 郭晶晶, 李婷婷, 王旭明. 用双稳态势场模型研究观点转变的驱动-响应关系. 物理学报, 2020, 69(6): 060501. doi: 10.7498/aps.69.20191516
    [15] 石泰峡, 董丽娟, 陈永强, 刘艳红, 刘丽想, 石云龙. 人工磁导体对无线能量传输空间场的调控. 物理学报, 2019, 68(21): 214203. doi: 10.7498/aps.68.20190862
    [16] 刘厚通, 毛敏娟. 一种无需定标的地基激光雷达气溶胶消光系数精确反演方法. 物理学报, 2019, 68(7): 074205. doi: 10.7498/aps.68.20181825
计量
  • 文章访问数:  7401
  • PDF下载量:  1095
  • 被引次数: 0
出版历程
  • 收稿日期:  2016-09-09
  • 修回日期:  2016-10-25
  • 刊出日期:  2016-11-05

/

返回文章
返回