Ground-state properties of a one-dimensional system of hard-core bosons in a harmonic trap

被引:189
作者
Girardeau, MD [1 ]
Wright, EM
Triscari, JM
机构
[1] Univ Arizona, Ctr Opt Sci, Tucson, AZ 85721 USA
[2] Univ Arizona, Dept Phys, Tucson, AZ 85721 USA
来源
PHYSICAL REVIEW A | 2001年 / 63卷 / 03期
关键词
D O I
10.1103/PhysRevA.63.033601
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
The exact N-particle ground-state wave function for a one-dimensional condensate of hard-core bosons in a harmonic trap is employed to obtain accurate numerical results for the one-particle density matrix, occupation number distribution of the natural orbitals, and momentum distribution. Our results show that the occupation of the lowest orbital varies as N-0.59, in contrast to N-0.5 for a spatially uniform system, and N for a true Bose-Einstein condensate.
引用
收藏
页码:1 / 6
页数:6
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