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

M. D. Girardeau·E. M. Wright·J. M. Triscari
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Abstract

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 BEC.

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M. D. Girardeau, E. M. Wright, J. M. Triscari. 2000-08-31. Ground state properties of a one-dimensional condensate of hard core bosons in a harmonic trap. https://doi.org/10.1103/physreva.63.033601

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