Wave-packet spreading in the disordered and nonlinear Su-Schrieffer-Heeger chain
arXiv:2212.06235 · doi:10.1103/PhysRevB.107.184313
Abstract
We numerically investigate the characteristics of the long-time dynamics of a single-site wave-packet excitation in a disordered and nonlinear Su-Schrieffer-Heeger model. In the linear regime, as the parameters controlling the topology of the system are varied, we show that the transition between two different topological phases is preceded by an anomalous diffusion, in contrast to Anderson localization within these topological phases. In the presence of on-site nonlinearity this feature is lost due to mode-mode interactions. Direct numerical simulations reveal that the characteristics of the asymptotic nonlinear wave-packet spreading are the same across the whole studied parameter space. Our findings underline the importance of mode-mode interactions in nonlinear topological systems, which must be studied in order to define reliable nonlinear topological markers.
14 pages, 11 figures
References in corpus (14)
- Topological Photonics
- Destruction of Anderson localization by a weak nonlinearity
- Photonic Topological Anderson Insulators
- Universal spreading of wavepackets in disordered nonlinear systems
- Absence of Wavepacket Diffusion in Disordered Nonlinear Systems
- Observation of non-Hermitian topological Anderson insulator in quantum dynamics
- Delocalization induced by nonlinearity in systems with disorder
- Self-induced topological transition in phononic crystals by nonlinearity management
- Nonlinear lattice waves in heterogeneous media
- Nonlinear dynamics in a synthetic momentum state lattice
- Density of states at disorder-induced phase transitions in a multichannel Majorana wire
- Topological transitions and Anderson localization of light in disordered atomic arrays
- Asymptotic energy profile of a wavepacket in disordered chains
- Beyond the universal Dyson singularity for 1-D chains with hopping disorder