Relative and center-of-mass motion in the attractive Bose-Hubbard model
arXiv:1202.3574 · doi:10.1103/PhysRevA.85.043617
Abstract
We present first-principle numerical calculations for few particle solutions of the attractive Bose-Hubbard model with periodic boundary conditions. We show that the low-energy many-body states found by numerical diagonalization can be written as translational superposition states of compact composite systems of particles. These compact states break the translational symmetry of the problem and their center-of-mass and internal excitations offer simple explanations of the energy spectrum of the full model.
12 pages, 9 figures
References in corpus (10)
- Repulsively bound atom pairs in an optical lattice
- Two-particle states in the Hubbard model
- Exact diagonalization: the Bose-Hubbard model as an example
- Creation and detection of a mesoscopic gas in a non-local quantum superposition
- Death of soliton trains in attractive Bose-Einstein condensates
- Two-channel Feshbach physics in a structured continuum
- Quantum fluctuations in the image of a Bose gas
- Criterion for Bose-Einstein condensation in traps and self-bound systems
- Nuclear alpha-particle condensates: Definitions, occurrence conditions, and consequences
- Second order quantum phase transition of a homogeneous Bose gas with attractive interactions