The European Physical Journal D

, Volume 42, Issue 2, pp 309–316 | Cite as

Studies of bosons in optical lattices in a harmonic potential

  • R. RamakumarEmail author
  • A. N. Das
  • S. Sil
Laser Cooling and Quantum Gas


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.


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 


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Copyright information

© EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2007

Authors and Affiliations

  1. 1.Department of Physics and AstrophysicsUniversity of DelhiDelhiIndia
  2. 2.Condensed Matter Physics Group, Saha Institute of Nuclear PhysicsKolkataIndia
  3. 3.Department of PhysicsSantiniketanIndia

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