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

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

1998-04-13

arxiv.org/abs/cond-mat/9804130v2

Phys. Rev. Lett., vol. 81, p. 938 (1998)

Physics

Condensed Matter

5 pages, 2 figures; list of atoms - candidates for the Tonks gas realisation is restricted to the positive scatt. length; Cs i

Scientific paper

10.1103/PhysRevLett.81.938

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.

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