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

被引：130

作者：

Rigol, M ^{[1
]}

Muramatsu, A ^{[1
]}

机构：

[1] Univ Stuttgart, Inst Theoret Phys 3, Pfaffenwaldring 57, D-70550 Stuttgart, Germany

来源：

PHYSICAL REVIEW LETTERS | 2005年 / 94卷 / 24期

关键词：

D O I：

10.1103/PhysRevLett.94.240403

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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 rho(x)similar to 1/root 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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