Gap solitons and Bloch waves of interacting bosons in one-dimensional optical lattices: From the weak to the strong interaction limits

Abstract

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 turn into unstable. It is argued that the stable gap solitons can easily be formed in a weakly interacting system with energies near the bottoms of the lower-level linear Bloch band gaps.

8 papges, 7 figures

References in corpus (6)

• Soluble Models of Strongly Interacting Ultracold Gas Mixtures in Tight Waveguides
• Ground-state properties of one-dimensional ultracold Bose gases in a hard-wall trap
• Gap Solitons and Bloch Waves in Nonlinear Periodic Systems
• Truncated-Bloch-wave solitons in optical lattices
• Density-functional theory of two-component Bose gases in one-dimensional harmonic traps
• Spinless Bosons or Spin 1/2 Fermions in a 1D Harmonic Trap with Repulsive Delta Function Interparticle Interaction I - General Theory

Cited by in corpus (4)

• Coding of nonlinear states for the Gross-Pitaevskii equation with periodic potential
• Topologically nontrivial states in one-dimensional nonlinear bichromatic superlattices
• Loading ultracold atoms onto nonlinear Bloch states and soliton states in bichromatic lattices
• Gap solitons of a super-Tonks-Girardeau gas in a one-dimensional periodic potential