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Phys. Rev. A 48, 3186–3190 (1993)

Quantum-noise limits to matter-wave interferometry

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Marlan O. Scully
Department of Physics, Texas A&M University, College Station, Texas 77843
Max-Planck-Institut für Quantenoptik, W-8046, Garching, Germany

Jonathan P. Dowling
Research, Development, and Engineering Center, AMSMI-RD-WS-ST, U.S. Army Missile Command, Redstone Arsenal, Alabama 35898-5248

Received 14 August 1992; published in the issue dated October 1993

We derive the quantum limits for an atomic interferometer from a second-quantized theory in which the atoms obey either Bose-Einstein or Fermi-Dirac statistics. It is found that the limiting quantum noise is due to the uncertainty associated with the particle sorting between the two branches of the interferometer, and that this noise can be reduced in a sufficiently dense atomic beam by using fermions as opposed to bosons. As an example, the quantum-limited sensitivity of a generic matter-wave gyroscope is calculated and compared with that of a laser gyroscope.

© 1993 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.48.3186
DOI:
10.1103/PhysRevA.48.3186
PACS:
42.50.Vk, 07.60.Ly, 42.87.Bg, 32.80.Pj