Gap solitons and Bloch waves of interacting bosons in one-dimensional optical lattices: From the weak- to the strong-interaction limits
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...
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| Veröffentlicht in: | Physical review. A, Atomic, molecular, and optical physics Atomic, molecular, and optical physics, 2011-04, Vol.83 (4), Article 043610 |
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| container_title | Physical review. A, Atomic, molecular, and optical physics |
| container_volume | 83 |
| creator | Xu, T.F. Guo, X.M. Jing, X.L. Wu, W.C. Liu, C.S. |
| description | 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. |
| doi_str_mv | 10.1103/PhysRevA.83.043610 |
| format | Article |
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| ispartof | Physical review. A, Atomic, molecular, and optical physics, 2011-04, Vol.83 (4), Article 043610 |
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| source | American Physical Society Journals |
| subjects | ATOMIC AND MOLECULAR PHYSICS BASIC INTERACTIONS BLOCH THEORY CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS INTERACTING BOSON MODEL INTERACTIONS LATTICE PARAMETERS MATHEMATICAL MODELS NONLINEAR PROBLEMS NUCLEAR MODELS ONE-DIMENSIONAL CALCULATIONS QUASI PARTICLES SHELL MODELS SOLITONS STABILITY STRONG INTERACTIONS |
| title | Gap solitons and Bloch waves of interacting bosons in one-dimensional optical lattices: From the weak- to the strong-interaction limits |
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