Wave-packet spreading in the disordered and nonlinear Su-Schrieffer-Heeger chain

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.

arXiv comment14 pages, 11 figures

References in corpus (48)

• Topological Insulators
• Topological insulators and superconductors
• Topological Photonics
• Topological Photonics
• Photonic Floquet Topological Insulators
• Lasing in topological edge states of a 1D lattice
• Discrete Solitons and Breathers with Dilute Bose-Einstein Condensates
• Observation of topologically protected bound states in a one dimensional photonic system
• Nonlinear topological photonics
• Observation of the topological soliton state in the Su-Schrieffer-Heeger model
• Destruction of Anderson localization by a weak nonlinearity
• Observation of the topological Anderson insulator in disordered atomic wires
• Photonic Topological Anderson Insulators
• Detection of Zak phases and topological invariants in a chiral quantum walk of twisted photons
• Universal spreading of wavepackets in disordered nonlinear systems
• Classification of topological phonons in linear mechanical metamaterials
• Mapping topological order in coordinate space
• Topological Criticality in the Chiral-Symmetric AIII Class at Strong Disorder
• Anomalous Localization in Low-Dimensional Systems with Correlated Disorder
• Absence of Wavepacket Diffusion in Disordered Nonlinear Systems
• Disordered Topological Insulators via $C^{\ast }$-Algebras
• Delocalization of wave packets in disordered nonlinear chains
• Higher-order topological electric circuits and topological corner resonance on the breathing Kagome and pyrochlore lattices
• Observation of non-Hermitian topological Anderson insulator in quantum dynamics
• K-Theory and Pseudospectra for Topological Insulators
• Delocalization induced by nonlinearity in systems with disorder
• Topological quantum walks in momentum space with a Bose-Einstein condensate
• New families of symplectic splitting methods for numerical integration in dynamical astronomy
• Direct Observation of Topology from Single-photon Dynamics on a Photonic Chip
• Orbital Magnetization as a Local Property
• Nonequilibrium chaos of disordered nonlinear waves
• Universal Nonlinear Disordered Wave Packet Subdiffusion: 12 Decades
• Self-induced topological transition in phononic crystals by nonlinearity management
• Nonlinear lattice waves in heterogeneous media
• Characteristics of chaos evolution in one-dimensional disordered nonlinear lattices
• Disorder-induced topological phase transition in a 1D mechanical system
• Nonlinear dynamics in a synthetic momentum state lattice
• Subdiffusion of nonlinear waves in quasiperiodic potentials
• Energy transport in one-dimensional disordered granular solids
• Understanding Basic Concepts of Topological Insulators Through Su-Schrieffer-Heeger (SSH) Model
• Topological edge solitons and their stability in a nonlinear Su-Schrieffer-Heeger model
• High order three part split symplectic integrators: Efficient techniques for the long time simulation of the disordered discrete nonlinear Schroedinger equation
• Chaotic wave packet spreading in two-dimensional disordered nonlinear lattices
• 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
• Dynamics of a quantum particle in low-dimensional disordered systems with extended states

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• Recent progress on disorder-induced topological phases
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