Ground-state properties of hard core bosons in one-dimensional harmonic traps
arXiv:cond-mat/0209300 · doi:10.1103/PhysRevA.67.041601
Abstract
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.
4 pages, 4 EPS-figures, one reference added
Cited by in corpus (7)
- Bosonizing one-dimensional cold atomic gases
- Exact coherent states of a harmonically confined Tonks-Girardeau gas
- Emergence of quasi-condensates of hard-core bosons at finite momentum
- Universal properties of hard-core bosons confined on one-dimensional lattices
- Ground-state properties of hard-core bosons confined on one-dimensional optical lattices
- Universal correlations of trapped one-dimensional impenetrable bosons
- Free expansion of impenetrable bosons on one-dimensional optical lattices