Dark solitons in nonlinear Su-Schrieffer-Heeger lattices

Abstract

The introduction of nonlinearities into lattices with topological band structures has led to the discovery of various types of solitons. The Su-Schrieffer-Heeger (SSH) lattice, as the most fundamental topological model, has been extended into the nonlinear regime. In particular, nonlinear edge states and bulk solitons exhibiting intensity humps against a zero background have been extensively studied in nonlinear SSH lattices. In this paper, we systematically investigate dark solitons in nonlinear SSH lattices. These dark solitons maintain a nonzero and constant background, featuring intensity dips either in the bulk of the lattice or at its edges, and residing spectrally in the semi-infinite gap or the middle finite gap. Regardless of the specific type of dark soliton, the intensity dip remains wellpreserved and is not affected by the band structure of the original linear lattice. Although the dark solitons we have identified are generally dynamically unstable across a broad range of parameters, several types exhibit linear stability when the intracell coupling is much larger than the intercell coupling. Our findings may provide valuable insights for the exploration of novel types of solitons in nonlinear topological lattices.

to be published in Phys. Rev. A

References in corpus (29)

• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Topological Quantum Matter with Ultracold Gases in Optical Lattices
• Topological acoustics
• Nonlinear control of PT-symmetry and non-Hermitian topological states
• Quantized Nonlinear Thouless Pumping
• Quantized Fractional Thouless Pumping of Solitons
• Nonlinear Thouless pumping: solitons and transport breakdown
• Observation of edge solitons in topological trimer arrays
• Chirality of topological gap solitons in bosonic dimer chains
• Nonlinearity induced topological physics in momentum space and real space
• The Chern Number Governs Soliton Motion in Nonlinear Thouless Pumps
• Weakly nonlinear topological gap solitons in Su-Schrieffer-Heeger photonic lattices
• Spectral deformations in non-Hermitian lattices with disorder and skin effect: a solvable model
• Observation of cnoidal wave localization in non-linear topolectric circuits
• Dark topological valley Hall edge solitons
• Transition from topological to chaos in the nonlinear Su-Schrieffer-Heeger model
• Reversal of quantised Hall drifts at non-interacting and interacting topological boundaries
• Simulating topological materials with photonic synthetic dimensions in cavities
• Strongly Nonlinear Topological Phases of Cascaded Topoelectrical Circuits
• Chiral edge soliton in nonlinear Chern systems
• Optical control of topological end states via soliton formation in a 1D lattice
• Topological bulk solitons in a nonlinear photonic Chern insulator
• Protected chaos in a topological lattice
• Topological gap solitons in Rabi Su-Schrieffer-Heeger lattices
• Realization of a non-Hermitian Haldane model in circuits
• Observation of edge solitons and transitions between them in a trimer circuit lattice
• Observation of nonlinear higher-order topological insulators with unconventional boundary truncations
• Floquet valley Hall edge solitons
• Nonlinear quadrupole topological insulators