Ground-state properties of a one-dimensional system of hard-core bosons ina harmonic trap - art. no. 033601

The exact N-particle ground-state wave function for a one-dimensional conde nsate of hard-core bosons in a harmonic trap is employed to obtain accurate numerical results for the one-particle density matrix, occupation number d istribution of the natural orbitals, and momentum distribution. Our results show that the occupation of the lowest orbital varies as N-0.59, in contra st to N-0.5 for a spatially uniform system, and N for a true Bose-Einstein condensate.