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Phys. Rev. Lett. 81, 938–941 (1998)

Atomic Scattering in the Presence of an External Confinement and a Gas of Impenetrable Bosons

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M. Olshanii*
Lyman Laboratory, Harvard University, Cambridge, Massachusetts 02138
and Ecole Normale Supérieure, Laboratoire Kastler-Brossel, 24 Rue Lhomond, 75231 Paris Cedex 05, France

Received 22 January 1998; published in the issue dated 3 August 1998

We calculate, within the pseudopotential approximation, a one-dimensional scattering amplitude and effective one-dimensional interaction potential for atoms confined transversally by an atom waveguide or highly elongated “cigar”-shaped atomic trap. We show that, in the low-energy scattering regime, the scattering process degenerates to a total reflection, suggesting an experimental realization of a famous model in theoretical physics—a one-dimensional gas of impenetrable bosons (“Tonks” gas). We give an estimate for suitable experimental parameters for alkali atoms confined in waveguides.

© 1998 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.81.938
DOI:
10.1103/PhysRevLett.81.938
PACS:
03.75.Fi, 32.80.Pj

*Email address: maxim@atomsun.harvard.edu