Fermionization in an Expanding 1D Gas of Hard-Core Bosons
- 22 June 2005
- journal article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 94 (24)
- https://doi.org/10.1103/physrevlett.94.240403
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 $ ho_xsim 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.Comment: Revtex file, 4 pages, 6 figures, published versioOther Versions
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