2004/04/21 by Emil Lundh
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum optics and atomic interactions #Strong Light-Matter Interactions #cond-mat.other
paper · pdf · doi:10.1103/physreva.70.033610
published as Phys. Rev. A 70, 033610 (2004) · 19 pages, 11 figures; submitted to Phys. Rev. A
arxiv created 2004/04/21 · openalex publication_date 2004/09/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The lowest-lying collective modes of a trapped Bose gas in an optical lattice are studied in the Bose-Hubbard model. An exact diagonalization of the Hamiltonian is performed in a one-dimensional five-particle system in order to find the lowest few eigenstates. The dipole and breathing character of the eigenstates is confirmed in the limit where the tunneling dominates the dynamics, but under Mott-like conditions the excitations do not correspond to oscillatory modes.