Truncated-Bloch-wave solitons in optical lattices

Abstract

We study self-trapped localized nonlinear states in the form of truncated Bloch waves in one-dimensional optical lattices, which appear in the gaps of the linear bandgap spectrum. We demonstrate the existence of families of such localized states which differ by the number of intensity peaks. These families do not bifurcate from the band edge, and their power curves exhibit double branches. Linear stability analysis demonstrates that in deep lattice potentials the states corresponding to the lower branches are stable, whereas those corresponding to the upper branches are unstable, independently of the number of peaks.

To appear in Phys. Rev. A

References in corpus (6)

• Evidence for Superfluidity of Ultracold Fermions in an Optical Lattice
• Bifurcations and stability of gap solitons in periodic potentials
• Solitary Waves Bifurcated from Bloch Band Edges in Two-dimensional Periodic Media
• Families of Vortex Solitons in Periodic Media
• High-Order-Mode Soliton Structures in Two-Dimensional Lattices with Defocusing Nonlinearity
• Observation of higher-order solitons in defocusing waveguide arrays

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• Three-dimensional gap solitons in Bose-Einstein condensates supported by one-dimensional optical lattices
• Gap solitons in Rabi lattices
• Oscillatory instabilities of gap solitons in a repulsive Bose-Einstein condensate
• Gap solitons and Bloch waves of interacting bosons in one-dimensional optical lattices: From the weak to the strong interaction limits
• Polariton gap and gap-stripe solitons in Zeeman lattices
• Optical Solitons in a Trinal-channel Inverted Nonlinear Photonic Crystal
• Global search for localised modes in scalar and vector nonlinear Schrödinger-type equations
• Stability of gap soliton complexes in the nonlinear Schrödinger equation with periodic potential and repulsive nonlinearity
• Gap solitons of a super-Tonks-Girardeau gas in a one-dimensional periodic potential