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S-Matrix Theory of Nonsequential Double Ionization

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Part of the book series: Springer Series in Chemical Physics ((PUILS,volume 85))

Summary

Laser-induced double and multiple ionization of atoms may proceed either sequentially or nonsequentially in one coherent process. For near-infrared lasers of moderate intensity (1014 to 1015 W/cm2), the physical mechanism of the coherent process is inelastic rescattering of a first-ionized electron off its parent ion. The quantum-mechanical S-matrix description of this process is reviewed. Momentum distributions of the ejected electrons and the doubly charged ion are calculated and compared with the experimental data. Their shape is found to be determined by the effective electron-electron interaction, by which the recolliding first electron ejects the up to this time bound second electron. The significance of the finalstate electron-electron interaction is assessed. The underlying classical dynamics are elucidated. Recent experiments with ultra-short phase-stabilized laser pulses are discussed. Nonsequential multiple ionization is modeled by assuming that the returning electron thermalizes with a certain number of bound electrons, and the corresponding thermalization time is estimated.

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References

  1. A. l’Huillier, L.A. Lompré, G. Mainfray, C. Manus: Phys. Rev. A 27, 2503 (1983)

    Article  ADS  Google Scholar 

  2. R. Dörner, Th. Weber, M. Weckenbrock, A. Staudte, M. Hattas, H. Schmidt-Böcking, R. Moshammer, J. Ullrich: Adv. At., Mol., Opt. Phys. 48, 1 (2002); A. Becker, R. Dörner, R. Moshammer: J. Phys. B 38, S753 (2005)

    Google Scholar 

  3. Th. Weber, M. Weckenbrock, A. Staudte, L. Spielberger, O. Jagutzki, V. Mergel, F. Afaneh, G. Urbasch, M. Vollmer, H. Giessen, R. Dörner: Phys. Rev. Lett. 84, 443 (2000); Th. Weber, H. Giessen, M. Weckenbrock, G. Urbasch, A. Staudte, L. Spielberger, O. Jagutzki, V. Mergel, M. Vollmer, and R. Dörner: Nature (London) 405, 658 (2000)

    Article  ADS  Google Scholar 

  4. R. Moshammer, B. Feuerstein, W. Schmitt, A. Dorn, C.D. Schröter, J. Ullrich, H. Rottke, C. Trump, M. Wittmann, G. Korn, K. Hoffmann, W. Sandner: Phys. Rev. Lett. 84, 447 (2000)

    Article  ADS  Google Scholar 

  5. B. Feuerstein, R. Moshammer, D. Fischer, A. Dorn, C.D. Schröter, J. Deipenwisch, J.R Crespo Lopez-Urrutia, C. Höhr, P. Neumayer, J. Ullrich, H. Rottke, C. Trump, M. Wittmann, G. Korn and W. Sandner: Phys. Rev. Lett. 87, 043003 (2001)

    Article  ADS  Google Scholar 

  6. P.B. Corkum: Phys. Rev. Lett. 71, 1994 (1993)

    Article  ADS  Google Scholar 

  7. M. Weckenbrock, D. Zeidler, A. Staudte, Th. Weber, M. Schöffler, M. Meckel, S. Kammer, M. Smolarski, O. Jagutzki, V.R. Bhardwaj, D.M. Rayner, D.M. Villeneuve, P.B. Corkum, R. Dörner: Phys. Rev. Lett. 92, 213002 (2004)

    Article  ADS  Google Scholar 

  8. H. Niikura, F. Légaré, R. Hasbani, M.Yu. Ivanov, D.M. Villeneuve, P.B. Corkum: Nature (London) 417, 917 (2002)

    Article  ADS  Google Scholar 

  9. R. Panfili, S.L. Haan, J.H. Eberly: Phys. Rev. Lett. 89, 113001 (2002); S.L. Haan, P.S. Wheeler, R. Panfili, J.H. Eberly: Phys. Rev. A 66, 061402(R) (2002); M. Lein, E.K.U. Gross, V. Engel: Phys. Rev. Lett. 85, 4707 (2000)

    Article  ADS  Google Scholar 

  10. D. Dundas, K.T. Taylor, J.S. Parker, E.S. Smyth: J. Phys. B 32, L231 (1999); J.S. Parker, L.R. Moore, K.J. Meharg, D. Dundas, K.T. Taylor: J. Phys. B 34, L69 (2001); H.G. Muller: Opt. Express 8, 425 (2001)

    Article  ADS  Google Scholar 

  11. J. Chen, J. Liu, L.B. Fu, W.M. Zheng: Phys. Rev. A 63, 011404(R) (2000); J. Chen, C.H. Nam: Phys. Rev. A 66, 053415 (2002)

    Google Scholar 

  12. A. Becker, F.H.M. Faisal: J. Phys. B 29, L197 (1996)

    Article  ADS  Google Scholar 

  13. A. Becker, F.H.M. Faisal: J. Phys. B 38, R1 (2005)

    Google Scholar 

  14. A. Becker, F.H.M. Faisal: Phys. Rev. Lett. 84, 3546 (2000); ibid 89, 193003 (2002)

    Article  ADS  Google Scholar 

  15. R. Kopold, W. Becker, H. Rottke, W. Sandner: Phys. Rev. Lett. 85, 3781 (2000)

    Article  ADS  Google Scholar 

  16. S.V. Popruzhenko, S.P. Goreslavskii: J. Phys. B 34, L239 (2001); S.P. Goreslavski, S.V. Popruzhenko: Opt. Express 8, 395 (2001)

    Article  ADS  Google Scholar 

  17. C. Figueira de Morisson Faria, H. Schomerus, X. Liu, W. Becker: Phys. Rev. A 69, 043405 (2004)

    Article  ADS  Google Scholar 

  18. C. Figueira de Morisson Faria, X. Liu, W. Becker, H. Schomerus: Phys. Rev. A 69, 021402(R) (2004)

    ADS  Google Scholar 

  19. C. Ruiz, L. Plaja, L. Roso: Phys. Rev. Lett. 94, 063002 (2005)

    Article  ADS  Google Scholar 

  20. H.W. van der Hart, K. Burnett: Phys. Rev. A 62 013407 (2000)

    Article  ADS  Google Scholar 

  21. D.M. Volkov: Zs. Phys. 94, 250 (1935)

    Article  MATH  ADS  Google Scholar 

  22. F.H.M. Faisal: Phys. Lett. A 187, 189 (1994); A. Becker, F.H.M. Faisal: Phys. Rev. A 50, 3256 (1994)

    Article  MathSciNet  ADS  Google Scholar 

  23. L.V. Keldysh: Zh. Eksp. Teor. Fiz. 47, 1945 (1964) [Sov. Phys. JETP 20, 1307 (1965)]

    Google Scholar 

  24. F.H.M. Faisal: J. Phys. B 6, L89 (1973); H.R. Reiss: Phys. Rev. A 22, 1786 (1980)

    Article  ADS  Google Scholar 

  25. M. Lewenstein, Ph. Balcou, M.Yu. Ivanov, A. l’Huillier, P.B. Corkum: Phys. Rev. A 49, 2117 (1994)

    Article  ADS  Google Scholar 

  26. S.P. Goreslavskii, Ph.A. Korneev, S.V. Popruzhenko, R. Kopold, W. Becker: J. Mod. Opt. 50, 423 (2003)

    Article  ADS  Google Scholar 

  27. C. Figueira de Morisson Faria, M. Lewenstein: J. Phys. B 38, 3251 (2005)

    Article  ADS  Google Scholar 

  28. C. Figueira de Morisson Faria, W. Becker: Laser Phys. 13, 1196 (2003)

    Google Scholar 

  29. S.V. Popruzhenko, Ph.A. Korneev, S.P. Goreslavskii, W. Becker: Phys. Rev. Lett. 89, 023001 (2002)

    Article  ADS  Google Scholar 

  30. C. Figueira de Morisson Faria, H. Schomerus, W. Becker: Phys. Rev. A 66, 043413 (2002)

    Article  ADS  Google Scholar 

  31. D.B. Milošević, W. Becker: Phys. Rev. A 68, 065401 (2003)

    Article  ADS  Google Scholar 

  32. D. Bauer, D.B. Milošević, W. Becker: Phys. Rev. A 72, 023415 (2005)

    Article  ADS  Google Scholar 

  33. M.V. Frolov, N.L. Manakov, E.A. Pronin, A.F. Starace: Phys. Rev. Lett. 91, 053003 (2003)

    Article  ADS  Google Scholar 

  34. E. Eremina, X. Liu, H. Rottke, W. Sandner, A. Dreischuh, F. Lindner, F. Grasbon, G.G. Paulus, H. Walther, R. Moshammer, B. Feuerstein, J. Ullrich: J. Phys. B 36 3269 (2003)

    Article  ADS  Google Scholar 

  35. R. Moshammer, B. Feuerstein, J. Crespo López-Urrutia, J. Deipenwisch, A. Dorn, D. Fischer, C. Höhr, P. Neumayer, C.D. Schröter, J. Ullrich, H. Rottke, C. Trump, M. Wittmann, G. Korn, W. Sandner: Phys. Rev. A 65, 035401 (2002)

    Article  ADS  Google Scholar 

  36. V.L.B. de Jesus, B. Feuerstein, K. Zrost, D. Fischer, A. Rudenko, F. Afaneh, C.D. Schröter, R. Moshammer, J. Ullrich: J. Phys. B 37, L161 (2004)

    Article  Google Scholar 

  37. U. Eichmann, M. Dörr, H. Maeda, W. Becker, W. Sandner: Phys. Rev. Lett. 84, 3550 (2000)

    Article  ADS  Google Scholar 

  38. B.A. Zon: JETP 89, 219 (1999)

    Article  ADS  Google Scholar 

  39. M. Weckenbrock, M. Hattass, A. Czasch, O. Jagutzki, L. Schmidt, T. Weber, H. Roskos, T. Löffler, M. Thomson and R. Dörner: J. Phys. B 34, L449 (2001)

    Article  ADS  Google Scholar 

  40. S.P. Goreslavskii, S.V. Popruzhenko, R. Kopold, W. Becker: Phys. Rev. A 64, 053402 (2001)

    Article  ADS  Google Scholar 

  41. M. Weckenbrock, A. Becker, A. Staudte, S. Kammer, M. Smolarski, V.R. Bhardwaj, D.M. Rayner, D.M. Villeneuve, P.B. Corkum, R. Dörner: Phys. Rev. Lett. 91, 123004 (2003)

    Article  ADS  Google Scholar 

  42. L.D. Landau and E.M. Lifshitz, Quantum Mechanics (Pergamon Press, 1977)

    Google Scholar 

  43. C. Figueira de Morisson Faria, X. Liu, W. Becker: J. Mod. Opt. 53, 193 (2006)

    Article  MATH  ADS  Google Scholar 

  44. T. Brabec, F. Krausz: Rev. Mod. Phys. 72, 545 (2000)

    Article  ADS  Google Scholar 

  45. G.G. Paulus, F. Lindner, H. Walther, A. Baltuška, E. Goulielmakis, M. Lezius, F. Krausz: Phys. Rev. Lett. 91, 253004 (2003)

    Article  ADS  Google Scholar 

  46. X. Liu, C. Figueira de Morisson Faria: Phys. Rev. Lett. 92, 133006 (2004)

    Article  ADS  Google Scholar 

  47. C. Figueira de Morisson Faria, X. Liu, A. Sanpera, M. Lewenstein: Phys. Rev. A 70, 043406 (2004)

    Article  ADS  Google Scholar 

  48. X. Liu, H. Rottke, E. Eremina, W. Sandner, E. Goulielmakis, K.O. Keeffe, M. Lezius, F. Krausz, F. Lindner, M.G. Schätzel, G.G. Paulus, H. Walther: Phys. Rev. Lett. 93, 263001 (2004)

    Article  ADS  Google Scholar 

  49. A. Rudenko, K. Zrost, B. Feuerstein, V.L.B. de Jesus, C.D. Schröter, R. Moshammer, J. Ullrich: Phys. Rev. Lett. 93, 253001 (2004)

    Article  ADS  Google Scholar 

  50. See, e.g., W. Forst: Theory of Unimolecular Reactions (Academic Press, New York, 1973); P.J. Robinson and K.A. Holbrook: Unimolecular Reactions (Wiley-Interscience, New York, 1972); R. Hagedorn: Nuovo Cimento Suppl. 3, 147 (1965)

    Google Scholar 

  51. J.L. Chaloupka, R. Lafon, L.F. DiMauro, P. Agostini, K.C. Kulander: Opt. Express 8, 352 (2001)

    Article  ADS  Google Scholar 

  52. X. Liu, C. Figueira de Morisson Faria, W. Becker, P.B. Corkum: J. Phys. B 39, L305 (2006)

    Article  ADS  Google Scholar 

  53. C. Figueira de Morisson Faria and X. Liu: J. Mod. Opt. (in press)

    Google Scholar 

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Faria, C.F.d.M., Liu, X., Becker, W. (2007). S-Matrix Theory of Nonsequential Double Ionization. In: Progress in Ultrafast Intense Laser Science II. Springer Series in Chemical Physics, vol 85. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-38156-3_4

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