High-momentum tail in the Tonks gas under harmonic confinement
arXiv:cond-mat/0201573 · doi:10.1016/S0375-9601(02)00042-7
Abstract
We use boson-fermion mapping to show that the single-particle momentum distribution in a one-dimensional gas of hard point-like bosons (Tonks gas) inside a harmonic trap decays as at large momentum . The relevant integrals expressing the one-body density matrix are evaluated for small numbers of particles in a simple Monte Carlo approach to test the extent of the asymptotic law and to illustrate the slow decay of correlations between the matter-wave field at different points.
8 pages, 3 figures, accepted for publication in Phys. Lett. A
References in corpus (4)
Cited by in corpus (79)
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