2004/03/31 by S. M. Giampaolo, Fabrizio Illuminati, F. Illuminati +3
Chemistry · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum, superfluid, helium dynamics #Spectroscopy and Laser Applications #cond-mat.other #cond-mat.stat-mech #physics.atom-ph #quant-ph
paper · pdf · doi:10.1103/physreva.70.061601
published as Phys. Rev. A 70, 061601(R) (2004) · 4 pages, 3 figures; final version, to be published in Phys. Rev. A
arxiv created 2004/11/09 · openalex publication_date 2004/12/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the effect of external trapping potentials on the phase diagram of bosonic atoms in optical lattices. We introduce a generalized Bose-Hubbard Hamiltonian that includes the structure of the energy levels of the trapping potential, and show that these levels are in general populated both at finite and zero temperature. We characterize the properties of the superfluid transition for this situation and compare them with those of the standard Bose-Hubbard description. We briefly discuss similar behaviors for fermionic systems.