https://doi.org/10.1140/epjd/e2007-00035-7
Studies of bosons in optical lattices in a harmonic potential
1
Department of Physics and Astrophysics, University of Delhi, Delhi, 110007, India
2
Condensed Matter Physics Group, Saha Institute of Nuclear Physics, 1/AF Bidhannagar, Kolkata, 700064, India
3
Department of Physics, Visva Bharati, Santiniketan, 731235, India
Corresponding author: a rkumar@physics.du.ac.in
Received:
11
October
2006
Revised:
18
January
2007
Published online:
21
February
2007
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.
PACS: 03.75.Lm – Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations / 03.75.Nt – Other Bose-Einstein condensation phenomena / 03.75.Hh – Static properties of condensates; thermodynamical, statistical, and structural properties
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2007
