Excitations of a Bose-Einstein condensate in a one-dimensional optical lattice
arXiv:cond-mat/0304332 · doi:10.1103/PhysRevA.68.013610
Abstract
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.
16 pages, 5 figures, minor changes,accepted for publication in Phys. Rev. A
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- Fluctuation driven topological transition of binary condensates in optical lattices
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- Stability of small amplitude normal modes of a Bose-Einstein condensate with a singly quantized vortex confined in an optical lattice
- Theory of vortex-lattice melting in a one-dimensional optical lattice
- Longitudinal sound mode of a Bose-Einstein condensate in an optical lattice
- Multibranch Bogoliubov-Bloch spectrum of a cigar shaped Bose condensate in an optical lattice
- Fermionic superfluid properties in a one-dimensional optical lattice
- Spatially partitioned many-body vortices
- Critical currents in the BEC/BCS crossover regime
- Bragg spectroscopy of a cigar shaped Bose condensate in optical lattices
- Flow and critical velocity of an imbalanced Fermi gas through an optical potential
- Bogoliubov spectrum of a cigar shaped Fermi superfluid in an optical lattice at the BEC-BCS crossover