Skip to main content

Fractional Revivals

  • Conference paper
  • 26 Accesses

Abstract

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.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

References

  1. I. Sh. Averbukh and N. F. Perel’man, Sov. Phys. Usp. 34, 572 (1991).

    Article  Google Scholar 

  2. C. Leichtle, W. P. Schleich, V. Akulin, and I. Sh. Averbukh, to be published.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1996 Springer Science+Business Media New York

About this paper

Cite this paper

Leichtle, C., Schleich, W.P., Averbukh, I.S. (1996). Fractional Revivals. In: Eberly, J.H., Mandel, L., Wolf, E. (eds) Coherence and Quantum Optics VII. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-9742-8_153

Download citation

  • DOI: https://doi.org/10.1007/978-1-4757-9742-8_153

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4757-9744-2

  • Online ISBN: 978-1-4757-9742-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics