Ultrafast Diffraction from Rydberg Wave Packets Using High Harmonics

  • Kenneth J. Schafer
  • Jeffrey L. Krause


Rydberg wave packets have been the object of intense experimental and theoretical study over the past decade due to their many fascinating semiclassical and quantum characteristics. Long-lived wave packets localized in both the radial and angular dimensions have now been produced in alkali metal atoms.1–4 The methods of quantum control can also be applied to calculate the optimally shaped laser pulse which creates a wave packet having a desired distribution in phase space at a specified “target” time.5 Such wave packets can take the form, for instance, of “Schrödinger cat” states,6 or coherent superpositions of macroscopically distinct electronic states.


Form Factor Wave Packet Alkali Metal Atom Coherent Superposition Diffraction Signal 
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.
    Parker and C. R. Stroud, Jr., Coherence and decay of Rydberg wave packets, Phys. Rev. Lett. 56: 716 (1986).ADSCrossRefGoogle Scholar
  2. 2.
    ten Wolde, L. D. Noordam, A. Lagendijk, and H. B. van Linden van den Heuvell. Observation of radially localized electron wave packets, Phys. Rev. Lett. 61: 2099 (1988).ADSCrossRefGoogle Scholar
  3. 3.
    A. Yeazell, M. Mallalieu, J. Parker, and C. R. Stroud, Jr., Classical periodic motion of atomic-electronic wave packets, Phys. Rev. A 40: 5040 (1989).Google Scholar
  4. 4.
    Maciej Kalinski and J. H. Eberly, New states of hydrogen in a circularly polarized electromagnetic field, Phys. Rev. Lett. 77: 2420 (1996).ADSCrossRefGoogle Scholar
  5. 5.
    J. L. Krause, K. J. Schafer, and M. Ben-Nun, Creating and detecting shaped Rydberg wave packets, Phys. Rev. Lett. in press (1997).Google Scholar
  6. 6.
    M. Noel and C. R. Stroud, Jr., Young’s double slit experiment within an atom, Phys. Rev. Lett. 75:1252 (1995); Excitation of an atomic electron to a coherent superposition of macroscopically distinct states, Phys. Rev. Lett. 77: 1913 (1996).ADSCrossRefGoogle Scholar
  7. 7.
    R. Jones, C. S. Raman, D. W. Schumacher, and P. H. Bucksbaum, Ramsey interference in strongly driven Rydberg systems, Phys. Rev. Lett. 71: 2575 (1993).ADSCrossRefGoogle Scholar
  8. 8.
    R. Jones, D. You, and P. H. Bucksbaum, Ionization of Rydberg atoms by subpicosecond half-cycle electromagnetic pulses, Phys. Rev. Lett. 70: 1236 (1993).ADSCrossRefGoogle Scholar
  9. 9.
    G. M Lankhuijzen and L. D. Noordam, Streak-camera probing a rubidium wave packet decay in an electric field, Phys. Rev. Lett., 76: 1784 (1996).ADSCrossRefGoogle Scholar
  10. 10.
    J.M. Schins, P. Breger, P. Agostini, R. C. Constantinescu, H. G. Muller, A. Bouhal, G. Grillon, A. Antonetti, and A. Mysyrowicz, Cross-correlation measurements of femtosecond extreme-ultraviolet high-order harmonics, JOSA B, 13: 197 (1996).ADSCrossRefGoogle Scholar
  11. 11.
    JT. Randall. The diffraction of X-rays and electrons by amorphous solids, liquids, and gases, John Wiley and Sons, New York, 1934.Google Scholar
  12. 12.
    EO. Wollan, Scattering of x-rays from gases. Phys. Rev. 37: 862 (1931).ADSCrossRefGoogle Scholar
  13. 13.
    LWaller and D. R. Hartree, Proc. Roy. Soc. A 124: 119 (1929).ADSzbMATHCrossRefGoogle Scholar
  14. 14.
    C. Williamson, M. Dantus, S. B. Kim, and A. H. Zewail, Ultrafast diffraction and molecular structure, Chem. Phys. Lett. 196: 529 (1992).ADSCrossRefGoogle Scholar
  15. 15.
    Anderson, I. V. Tomov, and P. M. Rentzepis, A high repetition rate, picosecond hard x-ray system, and its application to time-resolved x-ray diffraction, J. Chem. Phys. 99: 869 (1993).ADSCrossRefGoogle Scholar
  16. 16.
    Ben-Nun, T. J. Martinez, P. M. Weber, and K. R. Wilson, Direct imaging of excited electronic states using diffraction techniques: Theoretical considerations, Chem. Phys. Lett. 262: 405 (1996).ADSCrossRefGoogle Scholar
  17. 17.
    Zhou, J. Peatross, M. M. Murnane, and H. C. Kapteyn, Enhanced high-harmonic generation using 25 fs laser pulses, Phys. Rev. Lett. 76: 752 (1996).ADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1998

Authors and Affiliations

  • Kenneth J. Schafer
    • 1
  • Jeffrey L. Krause
    • 2
  1. 1.Department of Physics and AstronomyLouisiana State UniversityBaton RougeUSA
  2. 2.Quantum Theory ProjectUniversity of FloridaGainesvilleUSA

Personalised recommendations