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

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 ${\rho }_x\sim 1/\sqrt{x}$, 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.

Revtex file, 4 pages, 6 figures, published version

References in corpus (4)

• Bosonizing one-dimensional cold atomic gases
• Emergence of quasi-condensates of hard-core bosons at finite momentum
• Universal properties of hard-core bosons confined on one-dimensional lattices
• Universal correlations of trapped one-dimensional impenetrable bosons

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