Ground-state properties of hard-core bosons confined on one-dimensional optical lattices

Marcos Rigol, Alejandro Muramatsu
2005 Physical Review A. Atomic, Molecular, and Optical Physics  
We study the ground-state properties of hard-core bosons trapped by arbitrary confining potentials on one-dimensional optical lattices. A recently developed exact approach based on the Jordan-Wigner transformation is used. We analyze the large distance behavior of the one-particle density matrix, the momentum distribution function, and the lowest natural orbitals. In addition, the low-density limit in the lattice is studied systematically, and the results obtained compared with the ones known for the hard-core boson gas without the lattice.
doi:10.1103/physreva.72.013604 fatcat:3ze7ntg45zawtjywt4yo6qnkmi