Planar Helium under Electromagnetic Driving

  • Javier Madroñero
  • Andreas Buchleitner
Conference paper


We report on the successful numerical implementation of an original method for the accurate quantum treatment of helium under electromagnetic driving. Our approach is the first to allow for a description of the highly complex quantum dynamics of this system, in the entire non-relativistic parameter regime, i.e., it provides full spectral and dynamical information on the ionization of the atomic ground state by optical fields, as well as on the dynamics of doubly excited Rydberg states under radiofrequency driving. As a by-product, the non-trivial role of the dimension of configuration space for the field-free dynamics of doubly excited helium is elucidated.


Random Graph Delaunay Triangulation Universality Class Relevance Criterion Monte Carlo Study 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Einstein A.: Verh. Dtsch. Phys. Ges. 19, 82 (1917).Google Scholar
  2. 2.
    Domke M., Schulz K., Remmers G., Kaindl G., and Wintgen D.: Phys. Rev. A 53, 1424 (1996).CrossRefGoogle Scholar
  3. 3.
    Grémaud B. and Delande D.: Europhys. Lett. 40, 363 (1997).CrossRefGoogle Scholar
  4. 4.
    Richter K. and Wintgen D.: Phys. Rev. Lett. 65, 1965 (1990).CrossRefGoogle Scholar
  5. 5.
    Tannor G., Richter K., and Rost J.M.: Rev. Mod. Phys. 72, 497 (2000).CrossRefGoogle Scholar
  6. 6.
    Rost J.M., Schulz K., Domke M., and Kaindl G.: J. Phys. B 30, 4663 (1997); Püttner R., Grémaud B., Delande D., Domke M., Martins M., Schlachter A.S., and Kaindl G.: Phys. Rev. Lett. 86, 3747 (2001).CrossRefGoogle Scholar
  7. 7.
    Giannoni M.J., Voros A., and Zinn-Justin J. (eds.): “Chaos and Quantum Physics”, North-Holland, Amsterdam 1991.Google Scholar
  8. 8.
    Weber T. et al.: Nature 405, 658 (2000).CrossRefGoogle Scholar
  9. 9.
    Moshammer R. et al.: Phys. Rev. A 65, 35401 (2002).CrossRefGoogle Scholar
  10. 10.
    Taylor K., Parker J.S., Meharg K.J., and Dundas D.: Eur. Phys. J. D 26, 67 (2003).CrossRefGoogle Scholar
  11. 11.
    Lambropoulos P., Maragakis P., and Zhang J.: Phys. Rep. 305, 203 (1998).CrossRefGoogle Scholar
  12. 12.
    Scrinzi A. and Piraux B.: Phys. Rev. A 56, R13 (1997).CrossRefGoogle Scholar
  13. 13.
    Purvis J., Dörr M., Terao-Dunseth M., Joachain C.J., Burke P.G., and Noble C.J.: Phys. Rev. Lett. 71, 3943 (1993).CrossRefGoogle Scholar
  14. 14.
    Shirley J.H.: Phys. Rev. 138, B979 (1965).CrossRefGoogle Scholar
  15. 15.
    Ho Y.K.: Phys. Rep. 99, 1 (1983).CrossRefGoogle Scholar
  16. 16.
    Krug A. and Buchleitner A.: Phys. Rev. A 66, 53416 (2002).CrossRefGoogle Scholar
  17. 17.
    Madroñero J.: Spectral properties of planar helium under periodic driving, Dissertation, Ludwig-Maximilians-Universität München (2004), Scholar
  18. 18.
    Sacha K. and Eckhardt B.: Phys. Rev. A 63, 043414 (2001).CrossRefGoogle Scholar
  19. 19.
    de Jesus V.L.B., Feuerstein B., Zrost K., Fischer D., Rudenko A., Afaneh F., Schröter C.D., Moshammer R., and Ullrich J.: J. Phys. B 37, L161 (2004).CrossRefGoogle Scholar
  20. 20.
    Stébé B. and Ainane A.: Superlattices and Microstruct. 5 545 (1989).CrossRefGoogle Scholar
  21. 21.
    Nazmitdinov R.G., Simonović N.S., and Rost J.M.: Phys. Rev. B 65, 155307 (2002).CrossRefGoogle Scholar
  22. 22.
    Hilico L., Grémaud B., Jonckheere T., Billy N., and Delande D.: Phys. Rev. A 66, 22101 (2002).CrossRefGoogle Scholar
  23. 23.
    Karypis G. and Kumar V.: J. Parall. Distrib. Comp. 48(1), 96 (1998).CrossRefMathSciNetGoogle Scholar
  24. 24. Scholar
  25. 25. Scholar
  26. 26.
    Krug A. and Buchleitner A.: in High Performance Computing in Science and Engineering. Munich 2002, Transactions of the First Joint HLRB and KONWIHR Result and Reviewing Workshop, 10–11 October 2002, Munich.Google Scholar
  27. 27.
    Eichmann U., Lange V., and Sandner W.: Phys. Rev. Lett. 64, 274 (1990).CrossRefGoogle Scholar
  28. 28.
    Schlagheck P. and Buchleitner A.: Eur. Phys. J. D 22, 401 (2003).Google Scholar
  29. 29.
    Lappas D.G., Sanpera A., Watson J.B., Burnett K., Knight P.L., Grobe R., and Eberly J.H.: J. Phys. B 29, L619 (1996); Lein M., Gross E.K.U., and Engel V.: Phys. Rev. Lett. 85, 4707 (2000).CrossRefGoogle Scholar
  30. 30.
    Richter K., Briggs J.S., Wintgen D., and Solovev E.A.: J. Phys. B 25, 3929 (1992).CrossRefGoogle Scholar
  31. 31.
    Tomsovic S. and Ullmo D.: Phys. Rev. E 50, 145 (1994); Zakrzewski J., Delande D., and Buchleitner A.: Phys. Rev. Lett. 75, 4015 (1995).CrossRefGoogle Scholar
  32. 32.
    Assion A., Naumert T., Bergt M., Brixner T., Kiefer B., Seyfried V., Strehle M., and Gerber G.: Science 282, 919 (1998); Weinacht T.C., Ahn J., Bucksbaum P.H.: Nature 397, 233 (1999); Arbo D.G., Reinhold C.O., and Burgdörfer J.: Phys. Rev. A 69, 23409 (2004).CrossRefGoogle Scholar
  33. 33.
    Hanson L.G. and Lambropoulos P.: Phys. Rev. Lett. 77, 2186 (1996).CrossRefGoogle Scholar
  34. 34.
    Buchleitner A.: Atomes de Rydberg en champ micro-onde: regularité et chaos, thèse de doctorat, Université Pierre et Marie Curie, Paris 1993.Google Scholar
  35. 35.
    Delande D. and Buchleitner A.: Adv. At. Mol. Opt. Phys. 34, 85 (1994).Google Scholar
  36. 36.
    Białynicki-Birula I., Kalinski M., and Eberly J.H.: Phys. Rev. Lett. 73, 1777 (1994).CrossRefGoogle Scholar
  37. 37.
    Brunello A.F., Uzer T., and Farelly D.: Phys. Rev. Lett. 76, 2874 (1996).CrossRefGoogle Scholar
  38. 38.
    Buchleitner A., Delande D., and Zakrzewski J.: Phys. Rep. 368, 409 (2002).CrossRefMathSciNetGoogle Scholar
  39. 39.
    Maeda H. and Gallagher T.F.: Phys. Rev. Lett. 92, 133004 (2004).CrossRefGoogle Scholar
  40. 40.
    Schlagheck P. and Buchleitner A.: Physica D 131, 110 (1999).CrossRefGoogle Scholar
  41. 41.
    Graham R.: Comm. At. Mol. Phys. 25, 219 (1991).Google Scholar
  42. 42.
    Raman C., Weinacht T.C., and Bucksbaum P.H.: Phys. Rev. A 55, R3995 (1997).CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • Javier Madroñero
    • 1
  • Andreas Buchleitner
    • 1
  1. 1.Max-Planck-Institut für Physik komplexer SystemeDresdenGermany

Personalised recommendations