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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

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
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  • 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.
      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.
    [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

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  • 收稿日期:  2016-09-09
  • 修回日期:  2016-10-25
  • 刊出日期:  2016-11-05

强激光场中原子单电离的半经典方法

  • 1. 北京大学物理学院, 人工微结构和介观物理国家重点实验室, 北京 100871;
  • 2. 华中科技大学, 武汉光电国家实验室和物理学院, 武汉 430074;
  • 3. 量子物质科学协同创新中心, 北京 100871
  • 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.

摘要: 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.

English Abstract

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