Dipole and monopole modes in the Bose-Hubbard model in a trap
Other Condensed Matter
2009-11-10 v1
Abstract
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. 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.
Keywords
Cite
@article{arxiv.cond-mat/0404491,
title = {Dipole and monopole modes in the Bose-Hubbard model in a trap},
author = {Emil Lundh},
journal= {arXiv preprint arXiv:cond-mat/0404491},
year = {2009}
}
Comments
19 pages, 11 figures; submitted to Phys. Rev. A