Studies of bosons in optical lattices in a harmonic potential

Abstract

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.

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

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Cited by in corpus (6)

• Bose-Einstein condensation in an optical lattice
• Dimensional crossover of a boson gas in multilayers
• Lattice bosons in quartic confinement
• Phase transition to Bose-Einstein condensation for a Bosonic gas confined in a combined trap
• Two-step condensation of lattice bosons
• Lattice bosons in a quasi-disordered environment