Nonlinear compact localized modes in flux-dressed octagonal-diamond photonic lattice
arXiv:2111.13387 · doi:10.1088/1402-4896/ac5357
Abstract
Tuning the values of artificial flux in the two-dimensional octagonal-diamond lattice drives topological phase transitions, including between singular and non-singular flatbands. We study the dynamical properties of nonlinear compact localized modes that can be continued from linear flatband modes. We show how the stability of the compact localized modes can be tuned by the nonlinearity strength or the applied artificial flux. Our model can be realized using ring resonator lattices or nonlinear waveguide arrays.
arXiv comment12 pages, 9 figures
References in corpus (31)
- Quantum Spin Hall Effect in Graphene
- Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
- Chern Numbers in Discretized Brillouin Zone: Efficient Method of Computing (Spin) Hall Conductances
- Observation of bound states in Lieb photonic lattices
- Artificial flat band systems: from lattice models to experiments
- Topological Flat Band Models and Fractional Chern Insulators
- Optical Resonator Analog of a Two-Dimensional Topological Insulator
- Nonlinear Waves in Bose-Einstein Condensates: Physical Relevance and Mathematical Techniques
- Modulation Instability and Pattern Formation in Spatially Incoherent Light Beams
- Synthetic dimensions and spin-orbit coupling with an optical clock transition
- Strongly correlated flat-band systems: The route from Heisenberg spins to Hubbard electrons
- Detangling Flat Bands into Fano Lattices
- Measurement of topological invariants in a 2D photonic system
- Magnetic field induced localization in a two-dimensional superconducting wire network
- Aharonov-Bohm photonic cages in waveguide and coupled resonator lattices by synthetic magnetic fields
- A simple method to construct Flat Band lattices
- Reconfigurable topological phases in next-nearest-neighbor coupled resonator lattices
- Observation of Light Guiding by Artificial Gauge Fields
- Topological phases and phase transitions on the square-octagon lattice
- Measuring topological invariants in photonic systems
- Theoretical possibilities for flat-band superconductivity
- The impossibility of exactly flat non-trivial Chern bands in strictly local periodic tight binding models
- "Extraordinary" modulation instability in optics and hydrodynamics
- Nontrivial topological flat bands in a diamond-octagon lattice geometry
- Experimental observation of inter-orbital coupling
- Compact Discrete Breathers on Flat Band Networks
- Probing band topology using modulational instability
- Topological Phenomena in Classical Optical Networks
- SU(3) Dirac electrons in the 1/5-depleted square-lattice Hubbard model at 1/4 filling
- Periodic and aperiodic dynamics of flat bands in diamond-octagon lattice
- Artificial Magnetic Fields in Momentum Space in Spin-Orbit Coupled Systems