Fermionization in an expanding 1D gas of hard-core bosons

Details Fermionization in an expanding 1D gas of hard-core bosons Fermionization in an expanding 1D gas of hard-core bosons

2004-10-27

arxiv.org/abs/cond-mat/0410683v2

Phys. Rev. Lett. 94, 240403 (2005)

Physics

Condensed Matter

Statistical Mechanics

Revtex file, 4 pages, 6 figures, published version

Scientific paper

10.1103/PhysRevLett.94.240403

We show by means of an exact numerical approach that the momentum distribution of a free expanding gas of hard-core bosons on a one-dimensional lattice approaches to the one of noninteracting fermions, acquiring a Fermi edge. Yet there is a power-law decay of the one-particle density matrix $\rho_x\sim 1/\sqrt{x}$, as usual for hard-core bosons in the ground state, which accounts for a large occupation of the lowest natural orbitals for all expansion times. The fermionization of the momentum distribution function, which is not observed in equilibrium, is analyzed in detail.

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