TY - JOUR
T1 - Fermionization in an expanding 1D gas of hard-core bosons
AU - Rigol, Marcos
AU - Muramatsu, Alejandro
PY - 2005/6/24
Y1 - 2005/6/24
N2 - 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 that of noninteracting fermions, acquiring a Fermi edge. Yet there is a power-law decay of the one-particle density matrix ρx∼1/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.
AB - 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 that of noninteracting fermions, acquiring a Fermi edge. Yet there is a power-law decay of the one-particle density matrix ρx∼1/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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U2 - 10.1103/PhysRevLett.94.240403
DO - 10.1103/PhysRevLett.94.240403
M3 - Article
AN - SCOPUS:27744431779
SN - 0031-9007
VL - 94
JO - Physical review letters
JF - Physical review letters
IS - 24
M1 - 240403
ER -