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Phys. Rev. A 72, 013604 (2005) [13 pages]

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

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Marcos Rigol and Alejandro Muramatsu
Institut für Theoretische Physik III, Universität Stuttgart, Pfaffenwaldring 57, D-70550 Stuttgart, Germany

Received 6 September 2004; published 5 July 2005

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.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.72.013604
DOI:
10.1103/PhysRevA.72.013604
PACS:
03.75.Hh, 05.30.Jp