Studies of bosons in optical lattices in a harmonic potential

Details Studies of bosons in optical lattices in a harmonic potential Studies of bosons in optical lattices in a harmonic potential

2006-06-18

arxiv.org/abs/cond-mat/0606471v2

Eur. Phys. J. D 42, 309 (2007)

Physics

Condensed Matter

Statistical Mechanics

Revised version, References updated, a new section on Fermions added, 14 pages, 16 figures

Scientific paper

10.1140/epjd/e2007-00035-7

We present a theoretical study of bose condensation and specific heat of non-interacting bosons in finite lattices in harmonic potentials in one, two, and three dimensions. We numerically diagonalize the Hamiltonian to obtain the energy levels of the systems. Using the energy levels thus obtained, we investigate the temperature dependence, dimensionality effects, lattice size dependence, and evolution to the bulk limit of the condensate fraction and the specific heat. Some preliminary results on the specific heat of fermions in optical lattices are also presented. The results obtained are contextualized within the current experimental and theoretical scenario.

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