Topologically nontrivial states in one-dimensional nonlinear bichromatic superlattices
arXiv:1603.06296 · doi:10.1016/j.physe.2017.01.033
Abstract
We study topological properties of one-dimensional nonlinear bichromatic superlattices and unveil the effect of nonlinearity on topological states. We find the existence of nontrivial edge solitions, which distribute on the boundaries of the lattice with their chemical potential located in the linear gap regime and are sensitive to the phase parameter of the superlattice potential. We further demonstrate that the topological property of the nonlinear Bloch bands can be characterized by topological Chern numbers defined in the extended two-dimensional parameter space. In addition, we discuss that the composition relations between the nolinear Bloch waves and gap solitions for the nonlinear superlattices. The stabilities of edge solitons are also studied.
arXiv comment7 pages, 6 figures. arXiv admin note: text overlap with arXiv:1603.04700
References in corpus (23)
- Anderson localization of a non-interacting Bose-Einstein condensate
- Topological States and Adiabatic Pumping in Quasicrystals
- Direct Measurement of the Zak phase in Topological Bloch Bands
- Landau and Dynamical Instabilities of the Superflow of Bose-Einstein Condensates in Optical Lattices
- Superfluid and Dissipative Dynamics of a Bose-Einstein Condensate in a Periodic Optical Potential
- Dynamical Superfluid-Insulator Transition in a Chain of Weakly Coupled Bose-Einstein Condensates
- Edge states and topological phases in one-dimensional optical superlattices
- Superfluidity of Bose-Einstein Condensate in An Optical Lattice: Landau-Zener Tunneling and Dynamical Instability
- Delocalization of a disordered bosonic system by repulsive interactions
- Bose-Einstein Condensates in Optical Lattices: Band-Gap Structure and Solitons
- Exponential localization in one-dimensional quasiperiodic optical lattices
- Band structure, elementary excitations, and stability of a Bose-Einstein condensate in a periodic potential
- Topological edge states in the one-dimensional super-lattice Bose-Hubbard model
- Bloch Waves and Bloch Bands of Bose-Einstein Condensates in Optical Lattices
- Topological Bose-Mott Insulators in a One-Dimensional Optical Superlattice
- Soliton trains in photonic lattices
- Kaleidoscope of symmetry protected topological phases in one-dimensional periodically modulated lattices
- Fractional topological states of dipolar fermions in one-dimensional optical superlattices
- Topological transitions of interacting bosons in one-dimensional bi-chromatic optical lattices
- Topological Mott insulators of ultracold atomic mixtures induced by interactions in one-dimensional optical superlattices
- Observation of higher-order solitons in defocusing waveguide arrays
- Gap solitons and Bloch waves of interacting bosons in one-dimensional optical lattices: From the weak to the strong interaction limits
- Gap solitons of a super-Tonks-Girardeau gas in a one-dimensional periodic potential