3 1 Ja n 20 02 High - momentum tail in the Tonks gas under harmonic confinement

نویسنده

  • M. P. Tosi
چکیده

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 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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تاریخ انتشار 2002