We study the gap solitons and nonlinear Bloch waves of interacting bosons in one-dimensional optical lattices, taking into account the interaction from the weak to the strong limits. It is shown that composition relation between the gap solitons and nonlinear Bloch waves exists for the whole span of the interaction strength. The linear stability analysis indicates that the gap solitons are stable when their energies are near the bottom of the linear Bloch band gap. By increasing the interaction strength, the stable gap solitons can become unstable. It is argued that the stable gap solitons can easily be formed in a weakly interacting system with energies near the bottom of the lower-level linear Bloch band gaps.
|Journal||Physical Review A - Atomic, Molecular, and Optical Physics|
|Publication status||Published - 2011 Apr 14|
ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics