High-momentum tail in the Tonks gas under harmonic confinement

Details High-momentum tail in the Tonks gas under harmonic confinement High-momentum tail in the Tonks gas under harmonic confinement

2002-01-31

arxiv.org/abs/cond-mat/0201573v1

Physics

Condensed Matter

Statistical Mechanics

8 pages, 3 figures, accepted for publication in Phys. Lett. A

Scientific paper

10.1016/S0375-9601(02)00042-7

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 $p^{-4}$ at large momentum $p$. 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.

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