The Relation between Two Heisenberg Limited Interferometers: The Photonic de Broglie Wave Interferometer and the Dual Fock State Interferometer

  • Joseph M. Jacobson
  • Gunnar Björk
  • Yoshihisa Yamamoto

Abstract

Recently it has been shown that it is possible to construct an interferometer which measures the de Broglie wavelength of a state of photons as a whole1. Figure la shows an example of the output of this interferometer for the case of an incident coherent state |α| Since the output has oscillations proportional to the average number of photons |α|2 it is equivalent to a normal interferometer measuring a single photon with very short (λ/|α|2) wavelength. Furthermore since for a single photon the standard quantum limit governing the minimum detectable phase shift δømin ∝ 1/|α| is equal to the fundamental or Heisenberg limit, δømin ∝ 1/|α|2, it may readily be understood that the de Broglie wave interferometer is Heisenberg limited.

Keywords

Single Photon Oscillation Frequency Photon Number Quantum Fluctuation Wave Idea 
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References

  1. 1.
    J.M. Jacobson, G. Bjork, I. Chuang and Y. Yamamoto, Phys. Rev. Lett. 74, 4835 (1995)CrossRefGoogle Scholar
  2. 2.
    M.J. Holland and K. Burnett, Phys. Rev. Lett. 71, 1355 (1993)CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1996

Authors and Affiliations

  • Joseph M. Jacobson
    • 1
  • Gunnar Björk
    • 1
  • Yoshihisa Yamamoto
    • 1
  1. 1.ERATO Quantum Fluctuation Project Edward L. Ginzton LaboratoryStanford UniversityStanfordUSA

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