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Phys. Rev. Lett. 74, 4835–4838 (1995)

Photonic de Broglie Waves

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Joseph Jacobson, Gunnar Björk, Isaac Chuang, and Yoshihisa Yamamoto
ERATO Quantum Fluctuation Project, Edward L. Ginzton Laboratory, Stanford University, Stanford, California 94305

Received 25 January 1995; revised 10 April 1995; published in the issue dated 12 June 1995

In quantum optics an ensemble of photons is treated as a Bose condensate which has a de Broglie wavelength given by λ0/N where λ0 and N are the wavelength and average number of constituent photons, respectively. We describe an interferometer which is capable of measuring this de Broglie wavelength. We show specifically that a coherent state input has a de Broglie coherence length proportional to 1/N. Finally we show that the interferometer is Heisenberg limited in sensitivity ( Δφmin = 1/N) and thus forms a new class of interferometers operating at the fundamental quantum limit.

© 1995 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.74.4835
DOI:
10.1103/PhysRevLett.74.4835
PACS:
42.25.Hz, 42.50.Ar