2002/09/20 by T. Papenbrock
Physics and Astronomy · #cond-mat.soft #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreva.67.041601
published as Phys. Rev. A 67 (2003) 041601(R) · 4 pages, 4 EPS-figures, one reference added
arxiv created 2002/09/20 · arxiv updated 2009/11/30
The one-particle density matrices for hard core bosons in a one-dimensional harmonic trap are computed numerically for systems with up to 160 bosons. Diagonalization of the density matrix shows that the many-body ground state is not Bose-Einstein condensed. The ground state occupation, the amplitude of the lowest natural orbital, and the zero momentum peak height scale as powers of the particle number, and the corresponding exponents are related to each other. Close to its diagonal, the density matrix for hard core bosons is similar to the one of noninteracting fermions.