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

1998/04/30 by Maxim Olshanii · 26 citations
Mathematics · Physics and Astronomy · #Atomic and Subatomic Physics Research #Atomic physics #Boson #Cold Atom Physics and Bose-Einstein Condensates #Nuclear physics #Particle physics #Physics #Quantum mechanics #Quantum, superfluid, helium dynamics #Scattering #cond-mat #math-ph #math.MP #physics.atom-ph #quant-ph

paper · pdf · doi:10.1103/physrevlett.81.938

published as Phys. Rev. Lett., vol. 81, p. 938 (1998) · 5 pages, 2 figures; list of atoms - candidates for the Tonks gas realisation is restricted to the positive scatt. length; Cs is excluded from the list; some new references added; minor changes in the text; accepted in PRL June 22, 1998

arxiv created 1998/06/23 · openalex publication_date 1998/08/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

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.

Citations

• Quantum Inverse Scattering Method and Correlation Functions
• Bose-Einstein Condensation in a Gas of Sodium Atoms

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