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Phys. Rev. A 66, 023604 (2002) [8 pages]

Theory of a one-dimensional double-X-junction atom interferometer

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M. D. Girardeau*, Kunal K. Das, and E. M. Wright
Optical Sciences Center and Department of Physics, University of Arizona, Tucson, Arizona 85721

Received 11 March 2002; published 12 August 2002

The dynamics of an atom waveguide X-junction beam splitter becomes truly one dimensional in a regime of low temperatures and densities and large positive scattering lengths where the transverse mode becomes frozen and the many-body Schrödinger dynamics becomes exactly soluble via a generalized Fermi-Bose mapping theorem. We analyze the interferometric response of a double-X-junction interferometer of this type due to potential differences between the interferometer arms.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.66.023604
DOI:
10.1103/PhysRevA.66.023604
PACS:
03.75.Fi, 05.30.Jp

*Electronic address: girardeau@optics.arizona.edu

Electronic address: kdas@optics.arizona.edu

Electronic address: Ewan.Wright@optics.arizona.edu