Relative and center-of-mass motion in the attractive Bose-Hubbard model

Details Relative and center-of-mass motion in the attractive Bose-Hubbard model Relative and center-of-mass motion in the attractive Bose-Hubbard model

2012-02-16

arxiv.org/abs/1202.3574v2

Phys. Rev. A 85, 043617 (2012)

Physics

Condensed Matter

Quantum Gases

12 pages, 9 figures

Scientific paper

10.1103/PhysRevA.85.043617

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.

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