Excitations of a Bose-Einstein condensate in a one-dimensional optical lattice

Details Excitations of a Bose-Einstein condensate in a one-dimensional optical lattice Excitations of a Bose-Einstein condensate in a one-dimensional optical lattice

2003-04-15

arxiv.org/abs/cond-mat/0304332v2

Phys. Rev. A 68, 013610 (2003)

Physics

Condensed Matter

Soft Condensed Matter

16 pages, 5 figures, minor changes,accepted for publication in Phys. Rev. A

Scientific paper

10.1103/PhysRevA.68.013610

We investigate the low-lying excitations of a stack of weakly-coupled two-dimensional Bose-Einstein condensates that is formed by a one-dimensional optical lattice. In particular, we calculate the dispersion relations of the monopole and quadrupole modes, both for the ground state as well as for the case in which the system contains a vortex along the direction of the lasers creating the optical lattice. Our variational approach enables us to determine analytically the dispersion relations for an arbitrary number of atoms in every two-dimensional condensate and for an arbitrary momentum. We also discuss the feasibility of experimentally observing our results.

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