Dipole and monopole modes in the Bose-Hubbard model in a trap

Details Dipole and monopole modes in the Bose-Hubbard model in a trap Dipole and monopole modes in the Bose-Hubbard model in a trap

2004-04-21

arxiv.org/abs/cond-mat/0404491v1

Phys. Rev. A 70, 033610 (2004)

Physics

Condensed Matter

Other Condensed Matter

19 pages, 11 figures; submitted to Phys. Rev. A

Scientific paper

10.1103/PhysRevA.70.033610

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.

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