Dipole and monopole modes in the Bose-Hubbard model in a trap
arXiv:cond-mat/0404491 · doi:10.1103/PhysRevA.70.033610
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.
19 pages, 11 figures; submitted to Phys. Rev. A
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Cited by in corpus (7)
- Ground-state properties of the attractive one-dimensional Bose-Hubbard model
- Fluctuation driven topological transition of binary condensates in optical lattices
- Breathing mode in the Bose-Hubbard chain with a harmonic trapping potential
- One-dimensional extended Bose-Hubbard model with a confining potential: a DMRG analysis
- Calculation of collective modes for the Bose-Hubbard model with confinement
- Collective modes of a strongly interacting Bose gas: probing the Mott transition
- Mott insulator dynamics