Nonlinear topological Toda quasicrystal
arXiv:2203.03904 · doi:10.7566/JPSJ.91.084703
Abstract
Topological edge states are known to emerge in certain quasicrystals. We investigate a topological quasicrystal in the presence of nonlinearity by generalizing the Toda lattice to include modulated periodic hoppings, where the period is taken irrational to the original lattice. It is found that topological edge states in a quasicrystal survive against nonlinearity based on the quench dynamics. It is also found that an extended-localization transition is induced by the quasicrystal hopping modulation. The present model is experimentally realizable by a transmission line with variable capacitance diodes, where the inductance is modulated.
6 pages, 5 figures
References in corpus (6)
- Topological phase transition in non-Hermitian quasicrystals
- Observation of Topological Phase Transitions in Photonic Quasicrystals
- Topological Photonic Quasicrystals: Fractal Topological Spectrum and Protected Transport
- Optical isolation with nonlinear topological photonics
- Nonlinearity induced topological physics in momentum space and real space
- Nonlinear Anderson localization in Toda lattices