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Phys. Rev. A 70, 031603(R) (2004) [4 pages]

Universal properties of hard-core bosons confined on one-dimensional lattices

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

Received 12 January 2004; published 27 September 2004

Based on an exact treatment of hard-core bosons confined on one-dimensional lattices, we obtain the large distance behavior of the one-particle density matrix, and show how it determines the occupation of the lowest natural orbital in the thermodynamic limit. We also study the occupation λη of the natural orbitals for large-η at low densities. Both quantities show universal behavior independently of the confining potential. Finite-size corrections and the momentum distribution function for finite systems are also analyzed.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.70.031603
DOI:
10.1103/PhysRevA.70.031603
PACS:
03.75.Hh, 05.30.Jp