The Amplitude Mode in the Quantum Phase Model
arXiv:0709.4436 · doi:10.1103/PhysRevLett.100.050404
Abstract
We derive the collective low energy excitations of the quantum phase model of interacting lattice bosons within the superfluid state using a dynamical variational approach. We recover the well known sound (or Goldstone) mode and derive a gapped (Higgs type) mode that was overlooked in previous studies of the quantum phase model. This mode is relevant to ultracold atoms in a strong optical lattice potential. We predict the signature of the gapped mode in lattice modulation experiments and show how it evolves with increasing interaction strength.
4 pages, 3 figures
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- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Transition from a strongly interacting 1D superfluid to a Mott insulator
- Bragg spectroscopy of a Bose-Einstein condensate
- Dynamical properties of ultracold bosons in an optical lattice
- Excitations of a Superfluid in a 3D Optical Lattice
- Interacting Bose gases in quasi-one dimensional optical lattices
- Parametric excitation of a Bose-Einstein condensate in a 1D optical lattice
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- Bragg spectroscopy of a superfluid Bose-Hubbard gas
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