Excitation Spectra of Correlated Lattice Bosons in a Confining Trap

Details Excitation Spectra of Correlated Lattice Bosons in a Confining Trap Excitation Spectra of Correlated Lattice Bosons in a Confining Trap

2007-07-19

arxiv.org/abs/0707.2937v1

Physics

Condensed Matter

Statistical Mechanics

4 pages, 3 figures

Scientific paper

We consider ultracold bosonic atoms in an optical lattice with an external trapping potential. To study the excitation energies of the resulting Bose-Hubbard model, we develop a method based on a time-dependent generalization of the Gutzwiller ansatz. We calculate the excitations of the homogeneous system both in insulating and superfluid regime, concentrating particularly on those near the superfluid-Mott insulator boundary. Low-lying excitation energies in presence of a static harmonic trap are obtained using this method and compared with the homogeneous case. Further, we explore the dynamics of the center of mass and the breathing mode in response to time-dependent perturbations of the trap.

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