Evolution from a Bose-Einstein condensate to a Tonks-Girardeau gas: An exact diagonalization study

被引:75
作者
Deuretzbacher, Frank
Bongs, Kai
Sengstock, Klaus
Pfannkuche, Daniela
机构
[1] Univ Hamburg, Inst Theoret Phys 1, D-20355 Hamburg, Germany
[2] Univ Hamburg, Inst Laserphys, D-22761 Hamburg, Germany
来源
PHYSICAL REVIEW A | 2007年 / 75卷 / 01期
关键词
D O I
10.1103/PhysRevA.75.013614
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We study ground state properties of spinless, quasi one-dimensional bosons which are confined in a harmonic trap and interact via repulsive delta-potentials. We use the exact diagonalization method to analyze the pair correlation function, as well as the density, the momentum distribution, different contributions to the energy and the population of single-particle orbitals in the whole interaction regime. In particular, we are able to trace the fascinating transition from bosonic to fermi-like behavior in characteristic features of the momentum distribution which is accessible to experiments. Our calculations yield quantitative measures for the interaction strength limiting the mean-field regime on one side and the Tonks-Girardeau regime on the other side of an intermediate regime.
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页数:5
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