Evidence for the super Tonks–Girardeau gas

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Exact Analysis of an Interacting Bose Gas. II. The Excitation Spectrum

Elliott Lieb (1963)

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

Maxim Olshanii (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.