English

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

Statistical Mechanics 2007-05-23 v2 Other Condensed Matter

Abstract

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 ρx1/x\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.

Keywords

Cite

@article{arxiv.cond-mat/0410683,
  title  = {Fermionization in an expanding 1D gas of hard-core bosons},
  author = {Marcos Rigol and Alejandro Muramatsu},
  journal= {arXiv preprint arXiv:cond-mat/0410683},
  year   = {2007}
}

Comments

Revtex file, 4 pages, 6 figures, published version