Finite-temperature properties of hard-core bosons confined on one-dimensional optical lattices

Details Finite-temperature properties of hard-core bosons confined on one-dimensional optical lattices Finite-temperature properties of hard-core bosons confined on one-dimensional optical lattices

2005-06-16

arxiv.org/abs/cond-mat/0506419v2

Phys. Rev. A 72, 063607 (2005)

Physics

Condensed Matter

Statistical Mechanics

RevTex file, 12 pages, 16 figures, published version

Scientific paper

10.1103/PhysRevA.72.063607

We present an exact study of the finite-temperature properties of hard-core bosons (HCB's) confined on one-dimensional optical lattices. Our solution of the HCB problem is based on the Jordan-Wigner transformation and properties of Slater determinants. We analyze the effects of the temperature on the behavior of the one-particle correlations, the momentum distribution function, and the lowest natural orbitals. In addition, we compare results obtained using the grand-canonical and canonical descriptions for systems like the ones recently achieved experimentally. We show that even for such small systems, as small as 10 HCB's in 50 lattice sites, there are only minor differences between the energies and momentum distributions obtained within both ensembles.

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