Non-Classical States of Motion and Quantum Collapse and Revival in an Ion Trap

  • J. I. Cirac
  • R. Blatt
  • A. S. Parkins
  • P. Zoller
Conference paper
Part of the Springer Proceedings in Physics book series (SPPHY, volume 77)


A novel scheme for the preparation of non-classical states of motion in a three-dimensional harmonic ion trap is proposed. The technique is based on adiabatic passage along dressed energy levels of the strongly coupled ion + trap system by varying the laser frequency. For an observation of these non-classical states we propose to measure quantum collapse and revival in the population inversion of a single trapped ion.


Laser Frequency Rabi Frequency Population Inversion Vibrational Ground State Trap Frequency 
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]
    S. Chu and C. Wieman (Eds.), special issue of JOSA B 6 (11) (1989); S. L. Gilbert and C. E. Wieman, Opt. Photonics News 4, 8 (1993).CrossRefADSGoogle Scholar
  2. [2]
    F. Diedrich, J. C. Bergquist, W. M. Itano, and D. J. Wineland, Phys. Rev. Lett. 62, 483 (1989).CrossRefADSGoogle Scholar
  3. [3]
    P. Verkerk et al., Phys. Rev. Lett. 68, 3861 (1992)CrossRefADSGoogle Scholar
  4. [3a]
    P. S. Jessen et al., Phys. Rev. Lett. 69, 49 (1992)CrossRefADSGoogle Scholar
  5. [3b]
    A. Hemmerich and T. W. Hansch, Phys. Rev. Lett. 70, 410 (1993)CrossRefADSGoogle Scholar
  6. [3c]
    G. Grynberg et al., Phys. Rev. Lett. 70, 2249 (1993).CrossRefADSGoogle Scholar
  7. [4]
    D.J. Heinzen and D.J. Wineland, Phys. Rev. A 42, 2977 (1990).CrossRefADSGoogle Scholar
  8. [5]
    J. I. Cirac, R. Blatt, A. S. Parkins, and P. Zoller, Phys. Rev. Lett. 70, 762 (1993).CrossRefADSGoogle Scholar
  9. [6]
    J. I. Cirac, A. S. Parkins, R. Blatt, and P. Zoller, Phys. Rev. Lett. 70, 556 (1993).CrossRefADSGoogle Scholar
  10. [7]
    J. I. Cirac, R. Blatt, and P. Zoller, Phys. Rev. A 49, in pressGoogle Scholar
  11. [8]
    See, for example, S. Stenholm, Rev. Mod. Phys. 58, 699 (1986).CrossRefADSGoogle Scholar
  12. [9]
    J. I. Cirac, R. Blatt, P. Zoller, and W. D. Phillips, Phys. Rev. A 46, 2668 (1992).CrossRefADSGoogle Scholar
  13. [10]
    By low excitation we mean that transitions only take place under close-to-resonance excitation. For transitions |n〉 → |n〉, |n ± 1〉 this is the case for Ω sin(φ), Ωη cos(φ) ≪ ν. Google Scholar
  14. [11]
    C. A. Blockley, D. F. Walls, and H. Risken, Europhys. Lett. 17, 509 (1992).CrossRefADSGoogle Scholar
  15. [12]
    J. I. Cirac, R. Blatt, A. S. Parkins, and P. Zoller, Phys. Rev. A 49 (2), (1994)Google Scholar
  16. [13]
    W. Nagourney, J. Sandberg, and H. Dehmelt, Phys. Rev. Lett. 56, 2797 (1986).CrossRefADSGoogle Scholar
  17. [14]
    Th. Sauter, W. Neuhauser, R. Blatt, and P. E. Toschek, Phys. Rev. Lett. 57, 1696 (1986).CrossRefADSGoogle Scholar
  18. [15]
    J. C. Bergquist et al., Phys. Rev. Lett. 57, 1699 (1986).CrossRefADSGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1994

Authors and Affiliations

  • J. I. Cirac
    • 1
  • R. Blatt
    • 2
  • A. S. Parkins
    • 3
  • P. Zoller
    • 3
  1. 1.Departamento de Fisica AplicadaUniversidad de Castilla-La ManchaCiudad RealSpain
  2. 2.Institut für Laser-PhysikUniversität HamburgHamburgGermany
  3. 3.Joint Institute for Laboratory AstrophysicsUniversity of Colorado and National Institute of Standards and TechnologyBoulderUSA

Personalised recommendations