Strong-field double ionization at the transition to below the recollision threshold

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 81, Issue 4, 2010, Pages

  Ye, D F ^a,b,c   Liu, J ^a,c  

^a INSTITUTE OF APPLIED PHYSICS AND COMPUTATIONAL MATHEMATICS   (China)

^b RESEARCH CENTER OF LASER FUSION   (China)

^c PEKING UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ARGON ATOMS; BRILLOUIN; DOUBLE IONIZATION; ELECTRON PAIR; LASER INTENSITIES; MODEL CALCULATIONS; MOMENTUM SPECTRA; RECOLLISION; SEMICLASSICAL MODEL;

ARGON; IONIZATION;

PARTICLE DETECTORS;

EID: 77950655077     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.81.043402     Document Type: Article

References (44)

1. B. Walker, B. Sheehy, L. F. Dimauro, P. Agostini, K. J. Schafer, and K. C. Kulander, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.73.1227 73, 1227 (1994).
2. D. N. Fittinghoff, P. R. Bolton, B. Chang, and K. C. Kulander, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.69.2642 69, 2642 (1992).
3. P. B. Corkum, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.71. 1994 71, 1994 (1993).
4. U. Eichmann, M. Dörr, H. Maeda, W. Becker, and W Sandner, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.3550 84, 3550 (2000).
5. Th. Weber, Nature (London) NATUAS 0028-0836 10.1038/35015033 405, 658 (2000).
6. Th. Weber, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.443 84, 443 (2000);
7. R. Moshammer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84. 447 84, 447 (2000).
8. A. Staudte, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99. 263002 99, 263002 (2007);
9. A. Rudenko, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99. 263003 99, 263003 (2007).
10. Y. Liu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.053001 101, 053001 (2008).
11. S. L. Haan, Z. S. Smith, K. N. Shomsky, and P. W. Plantinga, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/41/21/211002 41, 211002 (2008).
12. D. I. Bondar, W.-K. Liu, and M. Yu. Ivanov, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.79.023417 79, 023417 (2009).
13. M. V. Ammosov, N. B. Delone, and V. P. Krainov, Zh. Eksp. Teor. Fiz. 91, 2008 (1986)
14. M. V. Ammosov, N. B. Delone, and V. P. Krainov, [Sov. Phys. JETP 64, 1191 (1986)].
15. L.-B. Fu, J. Liu, J. Chen, and S.-G. Chen, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.63.043416 63, 043416 (2001);
16. L.-B. Fu, J. Liu, and S.-G. Chen, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.021406 65, 021406 (R) (2002).
17. R. Abrines and I. C. Percival, Proc. Phys. Soc. London PPSOAU 0370-1328 10.1088/0370-1328/88/4/306 88, 861 (1966);
18. J. G. Leopold and I. C. Percival, J. Phys. B JPAMA4 0022-3700 10.1088/0022-3700/12/5/016 12, 709 (1979).
19. J. S. Cohen, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.64.043412 64, 043412 (2001);
20. K. I. Dimitriou, D. G. Arbó, S. Yoshida, E. Persson, and J. Burgdörfer, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.061401 70, 061401 (R) (2004).
21. R. H. Garvey, C. H. Jackman, and A. E. S. Green, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.12.1144 12, 1144 (1975).
22. L. V. Keldysh, Sov. Phys. JETP 20, 1307 (1965).
23. Y. Zhou, Q. Liao, and P. Lu, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.80.023412 80, 023412 (2009).
24. J. S. Parker, B. J. S. Doherty, K. T. Taylor, K. D. Schultz, C. I. Blaga, and L. F. DiMauro, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96. 133001 96, 133001 (2006).
25. J. S. Prauzner-Bechcicki, K. Sacha, B. Eckhardt, and J. Zakrzewski, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.203002 98, 203002 (2007).
26. D. F. Ye, X. Liu, and J. Liu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.233003 101, 233003 (2008).
27. S. L. Haan, J. S. Van Dyke, and Z. S. Smith, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.113001 101, 113001 (2008).
28. A. Emmanouilidou, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.78. 023411 78, 023411 (2008).
29. Here, we do not include the interaction with the laser field in energy and require energy greater than zero for an electron to be considered ionized, analogously to many others, e.g., S. L. Haan, L. Breen, A. Karim, and J. H. Eberly, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.103008 97, 103008 (2006);
30. S. L. Haan and Z. S. Smith, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.76.053412 76, 053412 (2007).
31. J. Liu, D. F. Ye, J. Chen, and X. Liu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.013003 99, 013003 (2007);
32. see also D. F. Ye, J. Chen, and J. Liu, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.77.013403 77, 013403 (2008), for more details.
33. B. Hu, J. Liu, and S.-G. Chen, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(97)00811-6 236, 533 (1997).
34. K. N. Shomsky, Z. S. Smith, and S. L. Haan, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.79.061402 79, 061402 (R) (2009).
35. F. Mauger, C. Chandre, and T. Uzer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.104.043005 104, 043005 (2010).
36. Because of the complexity of the DI dynamics in the BRT regime, sometimes there are many time moments when the energy of one electron becomes positive as demonstrated in Fig. 2(b). In this case, the ionization time is defined as the moment when the electron's energy turns from negative to positive and no longer returns to negative. A detailed statistical analysis according to the newly defined "time delay" will be presented in a forthcoming paper.
37. The energy shown in Fig. 2 is the sum of kinetic energy and electron-nuclear Coulomb energy. It does not include the electron-field interaction energy. Thus, there exists an energy jump (| ε (t) [z i out - z i in] |) when the electron tunnels out of the Coulomb barrier. If we include the interaction energy, the total electron energy should be conserved during the tunneling process.
38. H. W. van der Hart and K. Burnett, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.62.013407 62, 013407 (2000).
39. E. Eremina, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/36/15/308 36, 3269 (2003).
40. L. D. Landau and E. M. Lifshitz, Quantum Mechanics (Pergamon Press, New York, 1977).
41. In analogy to the discussion in p. 293 of Quantum Mechanics by D. Landau and E. M. Lifshitz (Pergamon Press, New York, 1977), the dependence of wave function ψ on variable ξ can be regarded as being of the same form as that when the external field is absent. It gives β 1 = β 2 = 1.
42. B. Feuerstein, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87. 043003 87, 043003 (2001).
43. M. Weckenbrock, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92. 213002 92, 213002 (2004).
44. D. Zeidler, A. Staudte, A. B. Bardon, D. M. Villeneuve, R. Dorner, and P. B. Corkum, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.203003 95, 203003 (2005).