Fractional Revivals

  • C. Leichtle
  • W. P. Schleich
  • I. Sh. Averbukh
Conference paper


In a coherent superposition of many discrete quantum states, each contributing state evolves independently in time. Nevertheless, for short times, the dynamics of such a quantum system is almost periodic with a period T 1 corresponding to the typical energy separation between neighboring eigenstates. However, for times larger than this characteristic time, this periodicity disappears and new features emerge1: At fractions of another characteristic time T 2 the system is again periodic, however now, with a period which is a fraction of T 1. In this note we present an analytical approach2 towards these so-called fractional revivals.


Characteristic Time Quantum System Summation Formula Airy Function 2Weizmann Institute 
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  1. 1.
    I. Sh. Averbukh and N. F. Perel’man, Sov. Phys. Usp. 34, 572 (1991).CrossRefGoogle Scholar
  2. 2.
    C. Leichtle, W. P. Schleich, V. Akulin, and I. Sh. Averbukh, to be published.Google Scholar

Copyright information

© Springer Science+Business Media New York 1996

Authors and Affiliations

  • C. Leichtle
    • 1
  • W. P. Schleich
    • 1
  • I. Sh. Averbukh
    • 2
  1. 1.Abteilung für QuantenphysikUniversität UlmUlmGermany
  2. 2.Weizmann Institute of ScienceRehovotIsrael

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