Coulombic Entanglement: Two-Step Double Photoionization of Atoms

  • N. Chandra
  • R. Ghosh
Part of the Springer Series on Atomic, Optical, and Plasma Physics book series (SSAOPP, volume 67)


Unlike in the previous  Chap. 5, an atom or a molecule may lose two of its electrons in two consecutive steps as well (e.g., Fig.  3.1). While its primary ionization (i.e., loss of first electron) is caused from the energy supplied by some external source, the secondary ionization (i.e., emission of second electron) takes place in the rearrangement of electrons resulting from the primary ionization. Such a rearrangement of electrons becomes necessary whenever an inner-shell electron leaves the target in latter’s primary ionization. However, it is equally possible that such a rearrangement may lead to the emission of a photon in place of an electron (e.g., Fig.  3.2). This loss of energy in the form of a photon by, or departure of an electron from, an atom or a molecule due to rearrangement of its constituents is known as spontaneous radiative or non-radiative decay, respectively. The non-radiative decay was first observed by Auger [73, 74, 175, 176, 261]. The secondary ionization is, therefore, also known as Auger decay and the emitted particle called an Auger electron, say, e a . In this monograph, we will consider the primary ionization due only to the absorption of a single photon and, hence, the emitted particle will be known as a photoelectron e p (say).


Density Matrix Entangle State Auger Electron Primary Ionization Bipartite State 
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.


  1. 10.
    B.H. Bransden, C.J. Joachain, Physics of Atoms and Molecules, 2nd edn. (Benjamin Cummings, New York, 2003)Google Scholar
  2. 22.
    M. Barbieri, F. De Martini, G. Di Nepi, P. Mataloni, G.M.  D’Ariano, C. Macchiavello, Phys. Rev. Lett. 91, 227901 (2003)ADSCrossRefGoogle Scholar
  3. 56.
    S. Parida, N. Chandra, R. Ghosh, Eup. Phys. J. D 65, 303 (2011)ADSCrossRefGoogle Scholar
  4. 57.
    S. Parida, N. Chandra, Phys. Lett. A 373, 1852 (2009); Phys. Rev. A 79, 062501 (2009)Google Scholar
  5. 60.
    M. Weissbluth, Atoms and Molecules (Academic, New York, 1978)Google Scholar
  6. 64.
    A. de-Shalit, I. Talmi, Nuclear Shell Theory (Dover, New York, 2004)Google Scholar
  7. 65.
    A.R. Edmonds, Angular Momentum in Quantum Mechanics (Princeton University Press, Princeton, 1996)zbMATHGoogle Scholar
  8. 71.
    T.A. Carlson, Photoelectron and Auger Spectroscopy (Plenum, New York, 1975)CrossRefGoogle Scholar
  9. 73.
    P. Auger, Commn. Royal Acad. Sci. Paris 178, 929 (1924)Google Scholar
  10. 74.
    P. Auger, Commn. Royal Acad. Sci. Paris 178, 1535 (1924)Google Scholar
  11. 121.
    R.F. Werner, Phys. Rev. A 40, 4277 (1988)ADSCrossRefGoogle Scholar
  12. 122.
    M. Seevinck, Jos Uffink, Phys. Rev. A 78, 032101 (2008)MathSciNetADSCrossRefGoogle Scholar
  13. 124.
    A. Peres, Phys. Rev. Lett. 77, 1413 (1996)MathSciNetADSzbMATHCrossRefGoogle Scholar
  14. 125.
    M. Horodecki, P. Horodecki, R. Horodecki, Phys. Lett. A 223, 1 (1996)MathSciNetADSzbMATHCrossRefGoogle Scholar
  15. 175.
    P. Auger, Commn. Royal Acad. Sci. Paris 182, 776 (1926)Google Scholar
  16. 176.
    P. Auger, Commn. Royal Acad. Sci. Paris 177, 169 (1923)Google Scholar
  17. 188.
    N. Chandra, R. Ghosh, Phys. Rev. A 74, 052329 (2006)ADSCrossRefGoogle Scholar
  18. 213.
    N. Chandra, R. Ghosh, Phys. Rev. A 69, 012315 (2004)ADSCrossRefGoogle Scholar
  19. 216.
    N. Chandra, R. Ghosh, Rad. Phys. Chem. 75, 1808 (2006)ADSCrossRefGoogle Scholar
  20. 217.
    R. Ghosh, N. Chandra, S. Parida, Eur. Phys. J. Special Topics 169, 117 (2009)ADSCrossRefGoogle Scholar
  21. 253.
    T. Pattard, T. Schneider, J.M. Rost, J. Phys. B 36, L189 (2003)ADSCrossRefGoogle Scholar
  22. 254.
    T. Pattard, J. Burgdörfer, Phys. Rev. A 64, 042720 (2001)ADSCrossRefGoogle Scholar
  23. 255.
    J.A.R. Samson, Phys. Rev. Lett. 65, 2861 (1990)ADSCrossRefGoogle Scholar
  24. 257.
    Y. Hikosaka, P. Lablanquie, F. Penent, P. Selles, T. Kaneyasu, E. Shigemasa, J.H.D. Eland, K. Ito, Phys. Rev. A 80, 031404(R) (2009)Google Scholar
  25. 261.
    P. Auger, J. Phys. Radium 6, 205 (1925)zbMATHCrossRefGoogle Scholar
  26. 262.
    N. Chandra, R. Ghosh, Phys. Rev. A 70, 060306(R) (2004)Google Scholar
  27. 263.
    N. Chandra, R. Ghosh, Quant. Inf. Comput. 9, 36 (2006)MathSciNetGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  1. 1.Department of Physics and MeteorologyIndian Institute of TechnologyKharagpurIndia
  2. 2.c/o B.N. PandaPokhariputIndia

Personalised recommendations