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

Journal Article · Fri Apr 15 04:00:00 EDT 2011 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.83.043610· OSTI ID:21544671

Xu, T F; Guo, X M; Jing, X L ^[1]; Wu, W C ^[2]; Liu, C S ^[1]

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1. College of Science, Yanshan University, Qinhuangdao 066004 (China)
2. Department of Physics, National Taiwan Normal University, Taipei 11677, Taiwan (China)

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.

• OSTI ID: 21544671
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 4 Vol. 83; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
BASIC INTERACTIONS
BLOCH THEORY
INTERACTING BOSON MODEL
INTERACTIONS
LATTICE PARAMETERS
MATHEMATICAL MODELS
NONLINEAR PROBLEMS
NUCLEAR MODELS
ONE-DIMENSIONAL CALCULATIONS
QUASI PARTICLES
SHELL MODELS
SOLITONS
STABILITY
STRONG INTERACTIONS