Physics – Condensed Matter – Other Condensed Matter
Scientific paper
2006-04-28
Phys. Rev. A 75, 013614 (2007)
Physics
Condensed Matter
Other Condensed Matter
5 pages, 5 figures
Scientific paper
10.1103/PhysRevA.75.013614
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.
Bongs Kai
Deuretzbacher Frank
Pfannkuche Daniela
Sengstock Klaus
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